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CIRCUMGALACTIC MEDIUM AT HIGH HALO MASSES - SIGNATURES OF COLD GAS DEPLETION IN LUMINOUS RED GALAXIES

Marijana Smailagić University of California, 1156 High Street, Santa Cruz, CA 95064, USA
msmailag@ucsc.edu
Jason Xavier Prochaska University of California, 1156 High Street, Santa Cruz, CA 95064, USA
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan
Joseph Burchett University of California, 1156 High Street, Santa Cruz, CA 95064, USA
New Mexico State University, Las Cruces, NM 88003, USA
Guangtun Zhu Johns Hopkins University, 3400 N. Charles Street, Baltimore, MD 21218, USA
(Accepted for publication in The Astrophysical Journal on August 14, 2023.)
Abstract

We study ultraviolet H I and metal line transitions in the circumgalactic medium (CGM) of 15 massive, quenched luminous red galaxies (LRGs) at redshift z0.5z\sim 0.5 and with impact parameters up to 400 kpc. We selected 8 of LRG-CGM systems to study general properties of the CGM around LRGs, while the other 7 are already known to contain cool CGM gas from Mg II optical studies (MgII-LRGs). In the general LRGs population, we detect H I in 4 of 8 LRGs, in all cases with NHI<1016.7cm2N_{HI}<10^{16.7}{\rm cm^{-2}}. In contrast, all MgII-LRGs show H I; for four LRGs the H I column density is NHI1018cm2N_{HI}\gtrsim 10^{18}{\rm cm^{-2}}. The CGM of LRGs also shows low and intermediate ionized lines (such as C III, C II, Si III, Si II) and highly ionized lines of O VI (we detect O VI around 5 of 7 MgII-LRGs and 1 of 8 in the random sample). Next, we combine our sample with literature LRGs and L\lesssim L^{*} galaxies and we find that while for L\lesssim L^{*} galaxies CGM H I Lyα\alpha absorption is stronger as galaxies are more massive, the cool CGM traced by H I Lyα\alpha is suppressed above stellar masses of M1011.5MM*\sim 10^{11.5}M_{\sun}. While most LRG CGM systems show weak or non-detectable O VI (equivalent width less than 0.2 Å), a few LRG CGM systems show strong O VI 1031, which in most cases likely originates from groups containing both a LRG and a blue star-forming neighboring galaxy.

galaxies: formation — galaxies: halos — intergalactic medium — quasars: absorption lines
facilities: HST(COS), Sloansoftware: Astropy (Astropy Collaboration et al., 2013, 2018)

1 Introduction

It is now well known that many galaxies are surrounded by a significant amount of low-density gas between the disk and virial radius, known as the circumgalactic medium (CGM; e.g., Bergeron, 1986; Bouché et al., 2004; Tumlinson et al., 2011; Rudie et al., 2012; Thom et al., 2012; Lehner et al., 2013; Prochaska et al., 2013; Tumlinson et al., 2013; Werk et al., 2013; Rubin et al., 2014; Zhu et al., 2014; Zheng et al., 2017; Burchett et al., 2018; Cai et al., 2019; Wotta et al., 2019; Lan, 2020; Nielsen et al., 2020, see also reviews Chen 2017 and Tumlinson et al. 2017). Werk et al. (2014) found that for local L\sim L^{*} galaxies, the mass of the cool CGM gas is comparable to the stellar mass of the galaxy disk. This CGM gas is closely related to a galaxy’s evolution (see e.g., Oppenheimer & Davé, 2006; Kereš et al., 2009; Hummels et al., 2013; Ford et al., 2014; Thompson et al., 2016; Armillotta et al., 2017; Stern et al., 2020; Lochhaas et al., 2021, see also review van de Voort 2017). As galaxies evolve, feedback processes, such as outflows from stars and active galactic nuclei, expel gas into the CGM. At the same time, galaxies accrete new gas from the intergalactic medium and CGM, which might also include recycled previously expelled gas. In some cases, this new gas cools and forms stars, and this process repeats. In addition, as halos become more massive, the CGM gas heats. In some cases, some of this CGM gas cools due to thermal instabilities (see e.g., Oppenheimer & Davé, 2006; Ford et al., 2014; Thompson et al., 2016; Tumlinson et al., 2017). Below we summarize the main motivations for our work:

Cool CGM gas around the most massive galaxies. Recently, on a lower mass scale, Bordoloi et al. (2018) found that more massive galaxies show stronger H I absorption from their CGM. More precisely, the authors showed that for L\sim L^{*} and L\lesssim L^{*} galaxies H I 1215 equivalent widths corrected for the impact parameter increase as stellar mass increases. Similar results were also found in other work (for example, Chen et al. 1998 found a similar correlation by using B-band luminosity as a proxy for galaxy mass). However, in clusters of galaxies H I is more rarely detected; while for L\sim L^{*} galaxies H I 1215 equivalent width averages 1\sim 1 Å , all 13 CGM systems in clusters of galaxies studied by Burchett et al. (2018) show H I 1215 equivalent widths below 0.40.4 Å (see also Lopez et al. 2008 and Yoon et al. 2012). These results indicate that H I absorption increases with MM_{*}, but is suppressed for the most massive galaxies. In addition, current theory predicts that in massive halos at low redshift, newly accreted cool gas is shock-heated to the virial temperature, and these most massive halos contain very small amounts of cool gas (Dekel & Birnboim, 2006; Nelson et al., 2015; Faucher-Giguère, 2017; van de Voort et al., 2017). These findings motivated us to study the CGM of massive galaxies and to search for a critical mass above which cool CGM gas is suppressed.

Cool CGM gas around quenched galaxies. Previous studies have found that both star-forming and passive galaxies show relatively similarly strong cool CGM absorption lines (Thom et al., 2012, but see also Lan et al. 2014). However, if galaxies contain cool gas in their CGM, the cool gas may form stars. We might ask if cool gas could survive for more than 1 Gyr without being heated or forming stars and, hence, if galaxies that are quenched more than 1 Gyr ago also show similarly strong CGM absorption lines. In massive halos, cool gas clouds are surrounded by hot gas and after some time may be evaporated due to thermal conduction, but other factors might also have an important role (see e.g., Maller & Bullock, 2004; Gauthier & Chen, 2011; Thompson et al., 2016; Gronke & Oh, 2018).

The O VI in the CGM around massive, quenched galaxies. Tumlinson et al. (2013) found that O VI is correlated with specific star-formation rate and is rare in the CGM of passive galaxies. Some proposed explanations include that the observed red galaxies are more massive and have higher virial temperature such that oxygen is found in a more highly ionized state in these halos (Oppenheimer et al., 2016), O VI traces cool gas beyond the accretion shock (Stern et al., 2018), O VI traces ancient outflows (Ford et al., 2014), and other. However, it is not clear if O VI is correlated with the star formation activity or (inverse of) the halo masses. One way to test those explanations is to study the CGM of massive galaxies whose environment may contain star-forming satellite galaxies, potentially offering another origin of O VI in the halos of these galaxies.

Connection between the CGM gas at low and at high redshift around massive galaxies. QSO host galaxies are massive galaxies at z23z\sim 2-3 and show the strongest H I absorption (e.g., Prochaska et al., 2013). Currently, it is not clear how long cool gas with temperatures below the halo virial temperature could survive in massive halos. Studying the CGM of similarly massive halos at lower redshifts might constrain the timescale for the survival of the cool gas, and the evolution of cool CGM gas from high to low redshift.

Luminous red galaxies (LRGs) are the most massive galaxies at z0.5z\sim 0.5, with average stellar mass 1011.5M\sim 10^{11.5}M_{\sun} (e.g., Maraston et al., 2013). LRGs, by selection, have negligible star formation rates (Roseboom et al., 2006) and have been quenched since z1z\gtrsim 1 (Banerji et al., 2010). These galaxies are located in overdense regions with average halo masses Mhalo1013.5MM_{\rm halo}\sim 10^{13.5}M_{\sun} (White et al., 2011; Zhu et al., 2014). Previous work studying the CGM around LRGs has focused mainly on the Mg II 2796, 2803 doublet, which traces cool CGM gas, and consists of the strongest resonant lines that are accessible in optical Sloan Digital Sky Survey (SDSS) spectra at z0.5z\sim 0.5. These studies have found that only 5\sim 5 percent of LRGs show Mg II absorption with equivalent width >0.3>0.3 Å in the CGM at impact parameters up to 500\sim 500 kpc (e.g., Huang et al., 2016) and that, despite the small covering fraction, these Mg II absorbers are correlated with LRGs (e.g., Bouché et al., 2004; Gauthier et al., 2009; Zhu et al., 2014). In addition, Zhu et al. (2014) found that the average Mg II absorption as a function of impact parameter is well described by a combination of a ‘1-halo’ term that describes gas within the LRG halos and a ‘2-halo’ term that describes gas from neighboring galaxies from the larger structure. These studies showed that although LRGs are quenched and located in massive halos, their halos contain a significant amount of cool, metal-rich gas.

However, these optical studies did not provide access to H I and higher ionization states (such as C III and O VI), and therefore did not provide the opportunity to study metal-poor and more highly ionized gas. Most of these lines at z0.5z\sim 0.5 are located in the ultraviolet (UV) spectral range, and only space-based UV spectrographs offer the opportunity to access them. In addition to our own, there are two related ongoing studies of samples of LRG-CGM systems. One is introduced by Chen et al. (2018), where the authors studied H I and UV metal-line transitions in the CGM at 160\lesssim 160 kpc around 16 massive red galaxies, 9 of which are LRGs (see Section 4). The other study is introduced by Berg et al. (2019), where the authors examined H I and UV metal-line transitions in the CGM of 21 LRGs at impact parameters up to 500 kpc. Both of these studies found a relatively high covering fraction of H I absorption (for example, 5081\sim 50-81 percent of those CGM systems have detected H I), some of which is optically thick (covering fraction 1544\sim 15-44 percent).

In an another UV study of the LRG-CGM systems, Smailagić et al. (2018) presented results for two LRGs with extreme properties. These two LRGs are part of our full sample of 15 LRGs. Smailagić et al. (2018) found that the CGM of these two LRGs show very strong and extended H I and C III absorption that exceeds those of all known local L\sim L^{*} galaxies. In our work, we present the full sample of 15 LRG-CGM systems, with a median redshift z0.5z\sim 0.5 and impact parameters R<400R_{\perp}<400 kpc, in which we study H I and UV metal-line transitions. One difference between our sample and Chen et al. (2018) and Berg et al. (2019) samples is that approximately half (7) of the LRGs in our sample were selected such that their CGM shows Mg II absorption in the SDSS optical spectra, with a goal of studying cool gas around massive quenched galaxies.

In Section 2, we describe our sample selection, observations, data reduction and data analysis. In Section 3, we describe the quantities that we measure for each LRG-CGM system. Section 4 lists other observations with which we compare our results. Section 5 presents our results, including the covering fraction of H I 1215 and metals in the LRG-CGM systems, their kinematics, and association with LRGs (equivalent widths and column densities). Section 6 discusses our results regarding the general LRG population, including searching for a critical mass above which cool CGM gas is suppressed. Section 7 discusses our results involving the LRGs exhibiting Mg II absorption, including possible connection with the CGM of higher-redshift galaxies and the detection of the warm-hot gas component (O VI). Section 8 discusses the contributions of neighboring galaxies to the CGM of LRGs. Appendices A, B, C, D, and E present more detail about absorption lines detected, analysis of less reliable lines, neighboring galaxies, notes about individual absorbers, and additional components associated with LRGs.

We adopt a flat cosmology with H0=67.7H_{0}=67.7 km s-1 Mpc-1 and Ωm=0.307\Omega_{m}=0.307 (Planck Collaboration et al., 2016).

2 Sample of 15 LRGs

To study the CGM of LRGs, we selected 15 pairs of z0.5z\sim 0.5 LRGs and UV-bright background quasi-stellar objects (QSOs) at impact parameter (RR_{\perp}; projected QSO-LRG distance at the LRG redshift) up to 400 kpc, corresponding to 2/3\sim 2/3 of the LRG virial radii. Here, virial radius (RvirR_{\rm vir}) is defined as the radius inside which the density equals 200 times the critical density at the LRG redshift, as in Tumlinson et al. (2013). The virial mass is the mass enclosed by the virial radius, approximately Mvir1013.5MM_{\rm vir}\sim 10^{13.5}M_{\sun} for LRGs halos (White et al., 2011; Zhu et al., 2014). We obtained HST COS spectra of the background QSOs, which cover H I Lyman transitions and metal transitions, such as C III, C II, Si III, Si II, and O VI. The properties of target LRGs and background QSOs are summarized in Table 1 and Table 2, respectively. We further compare our LRG sample with local L\sim L^{*} galaxies and with literature LRGs in Figure 1. LRG-CGM system names are created from the sky coordinates of QSOs, in the format ’HHMM±\pmDDMM’.

Table 1: Properties of LRGsa

Name α\alpha (J2000) δ\delta (J2000) zz RR_{\perp} rr uru-r log10M\log_{10}M_{*} log10Mhalo\log_{10}M_{\rm halo} RvirR_{\rm vir} Mg II (deg) (deg) (kpc) (M)(M_{\sun}) (M)(M_{\sun}) (kpc) LRG_1059+4039 164.8804 40.6666 0.4489 29 -22.53 2.32 11.29 13.67 646 1 LRG_1121+4345 170.4643 43.7523 0.4216 80 -22.64 2.32 11.23 13.09 417 1 LRG_1144+0714 176.1888 7.2490 0.4892 98 -22.73 2.47 11.45 13.44 532 1 LRG_1351+2753 207.8403 27.8910 0.4320 99 -23.17 2.32 11.53 13.61 618 1 LRG_1520+2534 230.0516 25.5695 0.5385 225 -23.51 2.43 11.72 13.85 716 1 LRG_1440-0157 220.0786 -1.9505 0.4801 343 -22.95 2.44 11.47 13.49 554 1 LRG_1106-0115 166.6615 -1.2621 0.6106 383 -23.18 2.41 11.68 13.75 641 1 LRG_1237+1106 189.4359 11.1151 0.4731 23 -22.97 2.64 11.43 13.42 527 0 LRG_1549+0701 237.4905 7.0167 0.4997 120 -22.46 2.51 11.30 13.19 439 0 LRG_1306+3421 196.5362 34.3539 0.4690 184 -22.96 2.39 11.56 13.63 623 0 LRG_1102+4543 165.7055 45.7169 0.4875 193 -23.12 2.26 11.45 13.45 535 0 LRG_1217+4931 184.4190 49.5309 0.5230 208 -22.77 2.36 11.41 13.37 497 0 LRG_1251+3025 192.7581 30.4171 0.5132 281 -23.58 2.47 11.67 13.79 690 0 LRG_0855+5615 133.9658 56.2505 0.4399 315 -22.62 2.52 11.34 13.28 481 0 LRG_0226+0014 36.5509 0.2444 0.4731 357 -23.37 2.42 11.53 13.58 596 0

  • a

    Columns contain LRG-CGM name, coordinates (α\alpha, δ\delta), redshift (zz), impact parameter (RR_{\perp}), absolute rr-magnitude, rest-frame uru-r color, stellar mass (log10M\log_{10}M_{*}), halo mass (log10Mhalo\log_{10}M_{\rm halo}), virial radius (RvirR_{\rm vir}), and information about Mg II detection (1 - detection, 0 - non detection).

Table 2: Properties of QSOsa
Name α\alpha (J2000) δ\delta (J2000) zQSOz_{\rm QSO} mNUVm_{\rm NUV} mFUVm_{\rm FUV} NorbN_{\rm orb} texpt_{\rm exp}
(deg) (deg) (s)
J105930+403956 164.8789 40.6657 1.2099 18.65 20.40 5 11689
J112150+434455 170.4619 43.7487 0.6700 18.42 19.03 2 5417
J114444+071443 176.1860 7.2455 0.9227 18.87 19.80 4 11308
J135122+275327 207.8458 27.8910 1.2304 18.96 20.03 4 11359
J152013+253438 230.0583 25.5773 1.4639 18.89 19.89 5 11375b
J144021-015627 220.0913 -1.9408 0.7174 18.22 19.06 2 5226
J110636-011454 166.6533 -1.2485 0.9972 17.40 18.22 2 5057
J123744+110658 189.4357 11.1161 0.9465 17.93 18.99 2 5243
J154956+070044 237.4870 7.0125 0.7984 17.77 19.33 1 5007
J130608+342043 196.5349 34.3453 0.7759 17.42 18.12 1 2092
J110250+454230 165.7098 45.7086 0.7655 17.66 18.73 1 2156
J121740+493118 184.4200 49.5217 0.7317 17.54 18.71 1 2180
J125100+302541 192.7513 30.4283 0.6528 17.43 18.21 1 2092
J085557+561534 133.9880 56.2597 0.7170 17.57 18.54 1 2276
J022614+001529 36.5603 0.2583 0.6156 17.47 17.91 1 2052
  • a

    Columns contain LRG-CGM name, QSO coordinates (α\alpha, δ\delta), redshift (zQSOz_{\rm QSO}), GALEX NUV and FUV apparent magnitudes (mNUVm_{\rm NUV} and mFUVm_{\rm FUV}), number of orbits (NorbN_{\rm orb}), and COS exposure time (texpt_{\rm exp}).

  • b

    Two exposures were taken, with texpt_{\rm exp} equals 11375ss and 2227ss. Since the shorter exposure has much worse S/NS/N, we use only the 11375ss exposure data.

2.1 Sample Selection

We now detail the precise criteria and strategy for our sample selection. Our sample was drawn from a parent sample of LRG-QSO pairs that were selected as in Zhu et al. (2014). The parent sample of LRGs was selected from the SDSS-III/Baryon Oscillation Spectroscopic Survey (BOSS). The BOSS survey contains spectra of more than one million LRGs at average redshift z0.5z\sim 0.5 (840,000\sim 840,000 at 0.4<z<0.60.4<z<0.6), and includes two subsamples of galaxies: the LOWZ (LRGs at z0.150.43z\sim 0.15-0.43) and CMASS (“constant mass”; LRGs at z0.430.7z\sim 0.43-0.7) subsamples (Dawson et al., 2013; Alam et al., 2015; Eisenstein et al., 2001; Cannon et al., 2006). Stellar mass completeness of CMASS sample at stellar mass of 1011.46M\sim 10^{11.46}M_{\sun} at redshifts z0.46,0.51,0.56,0.61z\sim 0.46,0.51,0.56,0.61 is 51%, 85%, 82%, 58%, respectively (Leauthaud et al., 2016) . However, at the time of sample selection for observations, the BOSS survey was the largest LRGs sample known. For this reason, we chose to use the BOSS survey to select our sample of LRGs. We selected LRGs at redshift z>0.4z>0.4, which placed the LRG H I Lyman series transitions redward of the geocoronal H I Lyα\alpha emission line, and enabled us to study these transitions. QSOs were selected from SDSS DR12 (Alam et al., 2015) and chosen such that they have GALEX magnitudes NUV <19.0<19.0 and FUV <20.0<20.0, with the exception of one QSO (J105930+403956) that has FUV=20.4FUV=20.4. We decided to select J1059+4039 because it is the only QSO in SDSS with cold enriched gas (traced by Mg II in the QSO SDSS spectrum) at impact parameter R<50R_{\perp}<50 kpc from a LRG and that is relatively bright in the GALEX NUV band (NUV<19NUV<19). Then, we further selected all QSO - LRG pairs such that the LRG’s physical impact parameter is less than 400 kpc.

From this set of z>0.4z>0.4 LRGs with coincident background QSOs at R<400R_{\perp}<400 kpc, we generated two subsamples for follow-up HST observations: 7 with detected Mg II in the SDSS QSO spectra (to study the cool gas around LRGs) and 8 without positive detections (to study the general properties of the gas around LRGs). These subsamples are:

1) MgII-LRG sample: These are pairs in which QSO SDSS spectra have detected Mg II absorption with equivalent width EW(Mg II 2796 Å) 0.2\gtrsim 0.2 Å within 1200 km s-1 of the LRG redshift111The justification for such a velocity window is to take into account CGM gas that is gravitationally bound to the host LRG halos. Other authors (e.g. Berg et al., 2019) used a similarly large velocity window. We also note that scaling down our search window by 3\sqrt{3} would not impact our results, since the maximum absolute values of our centroid velocities are 480 km/s (in this case there is also absorption at LRG redshift) and 263 km/s, as it could be later seen from Figure 7. and do not show strong Mg II at any other redshift. Thus, we are selecting QSO-LRG pairs in which there is already a confirmed presence of cold metal enriched gas at the LRG redshift. In these LRG-CGM systems, we expect to detect H I lines and additional metal lines characteristic of cool CGM gas (see Churchill et al., 2000; Rao et al., 2006). At the time of the proposal submission, it was not known if any H I or cool gas metal lines may be detected in a random sample of approximately 15 LRG-CGM systems. The literature only demonstrated that approximately 5 % (or 1 in 20) LRG-CGM systems show Mg II absorption, and therefore contain cool gas. Selecting by MgII-LRGs ensures that cool LRG-CGM gas was present and we could assess its properties including the co-existence of more highly ionized gas (e.g., O VI).” We also expect that these absorption lines will be on average stronger and, hence, easier to detect and analyze than in the general population of LRG-CGM systems. For example, as we will see in the next sections, we detect O VI more commonly in the CGM of MgII-LRGs than in the CGM of Baseline LRGs (5 MgII-LRGs in comparison to only one Baseline LRG), which helped us to analyze the origin of O VI in the LRG-CGM.

2) Baseline sample for general LRG-CGM analysis: These are pairs in which the QSO SDSS spectrum does not show Mg II absorption at any redshift. Previous studies (e.g., Huang et al., 2016) have found that QSO-LRG pairs with Mg II absorption are rare; even within 0.5 RvirR_{\rm vir}, the covering fraction is only 5%\sim 5\%. We note that Huang et al. (2016) found that the Mg II covering fraction at <120<120 kpc is 15\sim 15% for passive LRGs and up to 40\sim 40% for [O II]-emitting LRGs. However, most LRGs are passive LRGs: the Huang et al. (2016) sample contains 1575 [O II]-emitting LRGs and 11755 passive LRGs, i.e. only 12% of LRGs are [O II]-emitting. This implies that the Mg II covering fraction for a random LRG at <120<120 kpc is up to  18%. In addition, only 2 of our 8 Baseline LRGs are located at 120\leq 120 kpc (one of them at 120 kpc), and, as we will see later, the one with the impact parameter <120<120 kpc has H I detected (EW=0.57ÅEW=0.57\AA), as MgII-LRGs. For these reasons, we consider our Baseline LRGs are consistent with the general LRGs population, especially given the small sample size.

We restrict both subsamples to QSOs whose spectrum does not contain strong Mg II absorption at any other redshift with a goal to mitigate strong Mg II absorbers attenuating the FUV flux if they are also Lyman-limit systems.

We identify background QSOs that have Mg II absorption in their SDSS spectra by applying the algorithm from Zhu & Ménard (2013) to SDSS DR12 data. Zhu & Ménard (2013) used technique of nonnegative matrix factorization to find continua, identified Mg II 2796, 2803 doublet absorption lines in the QSO spectra, and measured their equivalent widths.

With the goal of constructing a survey of LRG-CGM systems from these two subsamples, we selected targets as follows:

1. The brightest QSOs in the GALEX NUV and FUV bands (typical GALEX NUV magnitudes are 17.519\sim 17.5-19). This minimized the HST orbits for obtaining the COS spectra.

2. CGM systems uniformly distributed in log10R\log_{10}R_{\perp}.

3. The full sample should contain approximately half of each subsample with a goal of at least 15 sightlines.

Figure 1 shows our 15 LRGs in a color-magnitude diagram and the distribution of LRG-CGM systems in impact parameters and stellar masses. For comparison, we also show the same for COS-Halos (z0.2z\sim 0.2, L\sim L^{*} galaxies). Figure 2 compares our sample of 15 LRG-QSO pairs to the overall LRG population. The Figure also shows EW(Mg II) for our LRGs, in comparison to the full SDSS sample of QSO-LRGs with Mg II. One notes that QSOs of the Baseline sample are on average much brighter in the GALEX NUV band.

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Figure 1: Our LRG sample compared with the COS-Halos sample. Left panel: Color uru-r versus absolute rr-magnitude, for our LRGs with (red squares) and without (red diamonds) Mg II. COS-Halos are shown as blue circles. Right panel: Impact parameter scaled to the virial radius versus stellar mass for our LRGs with (red squares) and without (red diamonds) Mg II. For reference, we also show the COS-Halos galaxies (blue circles) and the LRG samples from Chen et al. (2018) and Berg et al. (2019) (orange triangles).
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Figure 2: Our LRG sample compared against subsets of the overall LRG population. Left panel: QSO NUV magnitude versus impact parameter for QSO-LRG pairs with bright (in GALEX NUV and FUV bands) background QSOs. Marked are our QSO-LRGs with (red squares) and without Mg II (red diamonds), and QSO-LRGs pairs with (orange circles) and without Mg II (open gray circles) in the overall LRGs population. Larger symbols correspond to QSOs brighter in FUV. Right panel: EW(Mg II) versus impact parameter, for the SDSS data. The measurements are provided by Huang et al. (2016). Marked are our LRGs with Mg II (red squares). The blue dashed line shows the average EW(Mg II), when it is detected.

Tables 1 and 2 list properties of LRGs and QSOs in our sample. We adopted stellar masses from the Wisconsin group (Chen et al., 2012)222http://www.sdss.org/dr16/spectro/galaxy_wisconsin/, from the configuration based on Maraston & Strömbäck (2011) stellar population synthesis models applied on BOSS DR12 data. Halo masses are estimated from a parametrized relation between stellar and halo masses from Rodríguez-Puebla et al. (2017). The same relation was used by Berg et al. (2019). For one of our LRGs (LRG_1059+4039), there is another nearby LRG (see Section 8) with somewhat higher stellar mass. We use this stellar mass as the input stellar mass when calculating the halo mass of that LRG (LRG_1059+4039). The mean halo mass for our sample is logMhalo/M=13.51\log M_{\rm halo}/M_{\sun}=13.51, comparable to the mean LRGs halo mass calculated from clustering for z0.7z\sim 0.7 LRGs, logMhalo/M=13.52\log M_{\rm halo}/M_{\sun}=13.52 (Zhai et al., 2017).

2.2 Observations, Data Reduction, and Analysis

We obtained Hubble Space Telescope (HST) Cosmic Origins Spectrograph (COS) spectra of the 15 background QSOs, in program GO-14171 (PI: Zhu) in Cycle 23. We used the G140L grating with a central wavelength of 1280 Å. The COS spectrograph contains two detector segments - segment A and segment B. The central wavelength (1280 Å) was chosen such that the atmospheric Lyα\alpha line falls in the gap between the two segments. In the rest frame of a source at z0.5z\sim 0.5, segment A spans 8501400\sim 850-1400 Å, and segment B spans 630790\sim 630-790 Å. For the wavelengths of interest, the resolving power is R20003000R\sim 2000-3000 (spectral resolution 150\sim 150 km s-1). The exposure time was estimated from the HST online exposure time calculator to give signal - to - noise ratio S/N10S/N\sim 10 at Lyβ\beta in the observed frame for our LRGs. The S/NS/N is typically higher at shorter wavelengths.

We reduced the data by using CALCOS v2.21 and our own custom Python codes333https://github.com/pypit/COS_REDUX, or in the future https://github.com/pypeit/COS_REDUX. Based on Worseck et al. (2016) and our private communication with Gábor Worseck, our custom Python code combined with CALCOS performs a customized data reduction, which includes customized dark subtraction and co-addition of sub-exposures (for more details, see Appendix A).

For each reduced QSO spectrum, we estimated the QSO continuum level using the lt_continuumfit GUI from the linetools package444https://github.com/linetools/linetools. We selected points on the continuum level by eye through which a cubic spline was then interpolated.

We identified absorption lines using the igmguesses GUI from the PYIGM package555https://github.com/pyigm/pyigm. We first identified strong absorption lines associated with Milky Way (redshift z0z\sim 0) and with the background QSO (adopting its redshift from SDSS). Then, we searched for the Lyα\alpha line in a spectral window of [-1200, 1200] km s-1 around the LRG redshift6661200 km s-1 corresponds to the approximate escape velocity for a 1013.5M\sim 10^{13.5}M_{\sun} halo at 30400\sim 30-400 kpc; for the most massive halos, the escape velocity is up to 1700\sim 1700 km s-1. If we find a potential Lyα\alpha line, we fit its profile with a Gaussian, and predict Gaussian line profiles for the other H I Lyman transitions given their relative intrinsic strengths. If we obtain consistent line profiles for these transitions, we consider the H I detection reliable, and similarly searched for strong metal lines near the redshift of the H I lines. We also search for absorption lines associated with absorbers at other redshifts. We find the strongest absorption lines in a spectrum, for each of these lines assume that it represents H I Lyα\alpha or some of the other strong transitions at some redshift, and repeat the same steps as we did for the lines associated with the LRG.

The line boundaries were defined by-eye and selected as the velocity range over which the optical depth is significant. We excluded parts of lines that are blended with other interloping transitions, or we mark the line as blended.

For ions with only one transition available, we compare the scaled apparent column density profiles with H I or other available transitions. For ions with at least two transitions available, where only one transition is significantly detected (its EW is higher than 3σEW3\sigma_{\rm EW}), we compare the apparent column density profiles of these available transitions (e.g., O VI 1031 and O VI 1037 in some LRG-CGM systems). If the apparent column density profiles are closely aligned in velocity space, we consider this transition reliable. Otherwise, we mark the transition as an upper limit as it is likely blended with another interloping line. Further details are given in Appendix B.

For each absorption line, we calculated its rest-frame equivalent width (EW) by applying boxcar integration across the velocity range of the line. The line detection is considered reliable if its EW is greater than three times the uncertainty in the EW, σ\sigma(EW). If the EW is below 3σ3\sigma(EW), we treat the measurement as an upper limit, with value << 2σ2\sigma(EW). If the EW>3σ\rm EW>3\sigma(EW), but the line is blended, we also treat the line as an upper limit, but with value << EW+σ+\sigma(EW). Absorption lines that overlap with weak lines as determined from visible inspection (e.g. high order Lyman series lines) only are not considered as blended.

The COS grating G140L has a spectral resolution of 150\sim 150 km s-1. When measuring upper limits, we typically used velocity windows of 250\sim 250 km s-1 or more. Velocity limits are marked on our Figure 3 and on Figures 16 - 23 in Appendix D. It is known that HST COS line spread function exhibits broad wings; however, we do not expect that this has a significant impact on our results (see Ghavamian et al., 2009).

3 H I and metal line measurements

In Figure 3 and similar figures in Appendix D, we show velocity profiles for line transitions with reliable, blended, and possible detections in the CGM around our LRGs. The transitions shown include detections from the COS and SDSS spectra. The Figure also shows that the velocity corresponding to the largest optical depth of Mg II from the SDSS QSO spectra coincides with the velocity corresponding to the largest optical depth of H I and metal line transitions from our COS spectra. The absorption line measurements (such as EWs) are listed in Table 3.

We found that all MgII-LRGs have detected H I, C III 977, and one or more other metal lines, such as C II 1334, Si III 1206, Si II 1260, O VI 1031, N II 1083. In the Baseline LRG spectra we detect reliable H I 1215 absorption in four of eight cases, and we also detect metal lines including C III 977, O VI 1031, and Si III 1206 for three of these LRGs. In a few cases, besides Mg II, we also detect other lines in the SDSS spectra, such as Mg I and Ca II. We will see in Section 5.3 that four of the seven MgII-LRGs show significant Lyman-limit opacity, while none of the Baseline LRGs has significant Lyman-limit absorption.

Refer to caption
Figure 3: Line profiles, shown as continuum normalized flux vs. velocity in the LRG rest frame, for one of our MgII-LRGs, LRG_1059+4039. The same figures, but for other MgII-LRGs and for Baseline LRGs (15 total) are available in Appendix D. Transitions are labeled in the lower right corner, and rest-frame EWs are shown in the lower left corner. The analyzed velocity ranges are marked in blue color for reliable transitions, in red color for likely blended detections, and in magenta color for <3σ<3\sigma significant transitions. Red dot-dashed and green dashed vertical lines denote LRG redshift and velocity offset of LRG-CGM systems (for MgII-LRGs determined from the central velocity of Mg II absorption), respectively. The blue dotted line shows the flux uncertainty. Interloping transitions are marked with red and gray vertical dotted lines, if they originate from the CGM around the LRG, or from absorption systems found at other redshifts, respectively. We consider that transitions within 1200 km s-1 of the LRG redshift are associated with the CGM around the LRG. Name and redshift of these interloping transitions are labeled alongside of the vertical lines.

For each LRG, we measure the following:

  • Rest-frame equivalent widths (EW) for all lines (see section 2.2 for details).

  • Column density NHIN_{HI} from the Lyman-limit (LL) decrement (see section 5.3).

  • Line centroids, calculated for one of the least strong but reliably detected H I or metal line transitions, and defined as velocity weighted by absorbed normalized flux:

    dv=[(1F(i))v(i)]/[(1F(i)))],dv=\Big{[}\sum(1-F(i))v(i)\Big{]}/\Big{[}\sum(1-F(i)))\Big{]}\,, (1)

    where FF is continuum-normalized flux, and the sum is calculated over the selected velocity range of the line.

  • Velocity extent Δv90\Delta v_{90} for the H I 1215 line. The Δv90\Delta v_{90} was initially defined in (Prochaska & Wolfe, 1997) as the velocity interval that contains 90% of the total (apparent) optical depth. Since the resolution of our data not high enough to precisely measure the optical depth, in this work, we define Δv90\Delta v_{90} as the velocity interval that contains 90% of the optical depth that we measured for the H I 1215 line. The Δv90\Delta v_{90} approximately measures the velocity extent. Here, pixels with flux below the noise level are replaced with the noise. The apparent optical depth in a given pixel is defined as τa=ln(1/Fi)\tau_{a}=\ln(1/F_{i}), where FiF_{i} is the continuum-normalized flux.

  • Apparent column density (NaN_{a}) profiles, calculated as

    Na(v)=τa(v)dv2.654×1015fλ,N_{a}(v)=\frac{\tau_{a}(v)dv}{2.654\times 10^{-15}f\lambda}\,, (2)

    where τa\tau_{a} is apparent optical depth, λ\lambda is rest-frame wavelength in angstroms, ff is oscillator strength, and vv is velocity, as in Savage & Sembach (1991). We note that the resolution of our data is not high enough to calculate column densities by integrating NaN_{a} because the lines are not resolved.

{rotatetable*}
Table 3: Rest-frame equivalent width measurements in our sample of LRG-CGM systemsa

\topruleName zz H I 1215 H I 1025 C III 977 C II 1036 Si III 1206 Si II 1260 O VI 1031 Mg II 2796 dvdv (Å) (Å) (Å) (Å) (Å) (Å) (Å) (Å) (km s-1) LRG_1059+4039 0.4489 5.63±0.225.63\pm 0.22 2.93±0.172.93\pm 0.17 1.81±0.271.81\pm 0.27 0.88±0.070.88\pm 0.07 0.52±0.110.52\pm 0.11 <1.6<1.6 0.55±0.120.55\pm 0.12 2.07±0.202.07\pm 0.20 480-480 LRG_1121+4345 0.4216 1.72±0.121.72\pm 0.12 0.84±0.070.84\pm 0.07 0.57±0.050.57\pm 0.05 0.43±0.050.43\pm 0.05 0.46±0.070.46\pm 0.07 0.39±0.050.39\pm 0.05 1.10±0.161.10\pm 0.16 8080 LRG_1144+0714 0.4892 2.06±0.112.06\pm 0.11 1.45±0.051.45\pm 0.05 0.96±0.040.96\pm 0.04 0.35±0.040.35\pm 0.04 0.50±0.060.50\pm 0.06 0.35±0.070.35\pm 0.07 0.22±0.040.22\pm 0.04 0.69±0.160.69\pm 0.16 165-165 LRG_1351+2753 0.4320 1.45±0.111.45\pm 0.11 1.01±0.061.01\pm 0.06 0.70±0.060.70\pm 0.06 0.27±0.050.27\pm 0.05 0.34±0.090.34\pm 0.09 <0.23<0.23 0.26±0.050.26\pm 0.05 0.50±0.160.50\pm 0.16 180-180 LRG_1520+2534 0.5385 7.41±0.227.41\pm 0.22 2.49±0.182.49\pm 0.18 0.57±0.070.57\pm 0.07 <0.66<0.66 0.78±0.160.78\pm 0.16 <0.29<0.29 <0.19<0.19 0.71±0.140.71\pm 0.14 75-75 LRG_1440-0157 0.4801 1.70±0.151.70\pm 0.15 1.14±0.081.14\pm 0.08 1.23±0.061.23\pm 0.06 <0.19<0.19 0.41±0.100.41\pm 0.10 <0.28<0.28 0.39±0.060.39\pm 0.06 0.61±0.100.61\pm 0.10 263263 LRG_1106-0115 0.6106 0.55±0.130.55\pm 0.13 0.49±0.050.49\pm 0.05 0.46±0.040.46\pm 0.04 0.14±0.050.14\pm 0.05 0.44±0.090.44\pm 0.09 <0.52<0.52 <0.12<0.12 0.28±0.060.28\pm 0.06 196-196 LRG_1237+1106 0.4731 0.57±0.120.57\pm 0.12 <0.11<0.11 <0.15<0.15 <0.13<0.13 <0.28<0.28 <0.35<0.35 <0.16<0.16 <0.18<0.18 2222 LRG_1549+0701 0.4997 <0.26<0.26 <0.15<0.15 <0.1<0.1 <0.21<0.21 <0.18<0.18 <0.22<0.22 <0.38<0.38 <0.19<0.19 LRG_1306+3421 0.4690 <0.19<0.19 <0.17<0.17 <0.13<0.13 <0.54<0.54 <0.23<0.23 <0.56<0.56 <0.15<0.15 <0.13<0.13 LRG_1102+4543 0.4875 2.52±0.192.52\pm 0.19 1.09±0.181.09\pm 0.18 0.23±0.070.23\pm 0.07 <0.28<0.28 0.47±0.150.47\pm 0.15 <0.46<0.46 <0.18<0.18 <0.19<0.19 167-167 LRG_1217+4931 0.5230 1.45±0.151.45\pm 0.15 0.56±0.110.56\pm 0.11 0.37±0.080.37\pm 0.08 <0.2<0.2 <0.26<0.26 <0.59<0.59 <0.14<0.14 254-254 LRG_1251+3025 0.5132 <0.22<0.22 <0.12<0.12 <0.11<0.11 <0.22<0.22 <0.29<0.29 <0.11<0.11 <0.10<0.10 LRG_0855+5615 0.4399 1.32±0.091.32\pm 0.09 0.71±0.050.71\pm 0.05 <0.6<0.6 <0.31<0.31 <0.15<0.15 <0.19<0.19 0.42±0.050.42\pm 0.05 <0.11<0.11 196-196 LRG_0226+0014 0.4731 <0.38<0.38 <0.1<0.1 <0.09<0.09 <0.11<0.11 <0.12<0.12 <0.18<0.18 <0.11<0.11 <0.07<0.07

  • a

    Table contains information about a few H I and metal line transitions, LRGs redshifts, and velocity offsets. In a few cases when

    additional line components at higher or lower velocities are detected (see section 5.4 and appendix E), the listed measurements

    correspond only to the primary line component. Velocity offsets are calculated later, in section 5.4.

4 Other surveys

Here we summarize the main surveys with which we compare our results. We combine some of our data with two other UV studies of the CGM around LRGs, i.e., Chen et al. (2018) and Berg et al. (2019). We also compare our data with a study of the CGM of local L\sim L^{*} galaxies and with CGM studies of galaxies at lower and higher redshift, that could be evolutionary connected to LRGs.

  • Chen et al. (2018, C-LRGs): The authors studied the CGM around 16 massive red galaxies at z0.5z\sim 0.5 by using HST COS observations. Nine of these galaxies are classified as LRGs (see, e.g., list of LRGs used in Chen et al., 2012, i.e. http://www.sdss.org/dr16/spectro/galaxy_wisconsin/), five are red COS-Halos galaxies (Tumlinson et al., 2013), two are additional massive red galaxies.

    We chose to combine our sample only with the subset of nine Chen et al. (2018) galaxies that are classified as LRGs. The galaxies that we did not include in our analysis are galaxies that were not BOSS targets (SDSSJ 080357.74++ 433309.9, SDSSJ 095000.86++ 483102.2, SDSSJ 155047.70++ 400122.6, SDSSJ 091027.70++ 101357.2) and galaxies that are not in LOWZ, CMASS and near QSO subsamples (SDSSJ 140625.97++ 250923.2, SDSSJ 092554.18++ 400353.4, SDSSJ 024651.20- 005914.1). In this way, we combine our LRGs with other LRGs only. Previous studies showed that LRGs typically stopped forming stars more than 12\sim 1-2 Gyr ago. However, we do not know when the seven massive red galaxies that we did not include in our analysis stopped forming stars, or if some of these galaxies were forming stars within the last 1-2 Gyr. To answer such question, one could model star formation histories of these galaxies or make estimate of the 4000 Å  decrement and HδAH\delta_{A} index from the spectra of these galaxies (e.g. Bruzual A., 1983; Kauffmann et al., 2003). We leave a more detailed analysis for the future work.

    We further note that the Chen et al. (2018) LRGs by selection have smaller maximum impact parameters than our sample (160\sim 160 kpc compared with 400\sim 400 kpc). The average logarithm of the stellar mass (in units of MM_{\sun}) of the Chen et al. (2018) subsample of 9 LRGs is 11.36\sim 11.36, similar to our sample (11.47\sim 11.47). The redshift range of the Chen et al. (2018) subsample of 9 LRGs is \sim 0.3 - 0.6, which is a bit lower than for our sample (\sim 0.4 - 0.6).

  • Berg et al. (2019, B-LRGs): The authors used archival HST data to study the CGM around LRGs at z0.5z\sim 0.5. Their sample contains 21 galaxies with similar impact parameters. Their average stellar mass is similar as in our sample, logM/M11.4\log M_{*}/M_{\sun}\sim 11.4. The redshift range for this sample is \sim 0.3 - 0.6. Five of B-LRG sightlines are included in the C-LRGs.

    We downloaded the B-LRGs data, and measured the EW(H I 1215) and EW(O VI 1031) for the LRGs that were not a part of the C-LRGs sample, using the same velocity windows as in Berg et al. (2019). When multiple data files were available, we calculated the average EW value for all of the available data, excluding low signal-to-noise data. However, most of these LRG-CGM systems do not have available or statistically significant H I 1215 line detected. Only one of these LRG-CGM systems has statistically significant H I 1215 line detected, and in only one another case the upper limit in the EW(H I 1215) is smaller than 0.3 Å. In most of our analysis, we do not use B-LRGs with upper limits exceeding 0.3 Å. For the B-LRGs subsample that does not overlap with C-LRGs, the O VI 1031 line is available for 11 B-LRGs, and we measure only upper limits in all of these cases.

    Hereafter, we will simply refer to the the combined sample of the C-LRGs and B-LRGs as ‘literature LRGs’.

  • COS-Halos (Tumlinson et al., 2013): The authors studied the CGM of \sim L galaxies at z0.2z\sim 0.2. The impact parameters are, by selection, 160\lesssim 160 kpc; however the virial radii are also smaller on average than for the LRGs halos (300\sim 300 kpc, in comparison to 600\sim 600 kpc). COS-Halos galaxies were selected to be in relatively isolated environments, given the data available. No such selection was imposed for our LRGs.

  • Quasars probing quasars (QPQ; Prochaska et al., 2013): The authors studied the CGM of QSO host galaxies at redshift z23z\sim 2-3. Impact parameters are up to 1 Mpc. The higher-redshift QSO sample places many of the lines covered by our COS data at wavelengths observable from the ground. However, blending from the Lyα\alpha forest affects the blue lines significantly. QSO host galaxies are massive galaxies at z23z\sim 2-3, with halo masses of 1012.5M\sim 10^{12.5}M_{\sun}, and previous studies predict that a significant fraction of QSO hosts evolve into LRGs (White et al., 2012).

  • Sub-millimeter galaxies (Fu et al., 2016): This study includes three sub-millimeter galaxies (SMGs) at z22.5z\sim 2-2.5 with impact parameters 100200\sim 100-200 kpc. Besides QSO host galaxies, SMGs also have halo masses of 10121013M10^{12}-10^{13}M_{\sun} (see references in Fu et al., 2016), and some fraction of them may also evolve into LRGs.

5 Results

5.1 Covering Fractions of H I and Metals around LRGs

In this section, we estimate the covering fraction of H I 1215 absorbers with EW >0.3>0.3 Å for our LRGs combined with the literature LRGs. Since only 5\sim 5 % of LRGs contain Mg II in their CGM (e.g., Huang et al., 2016) , we will consider that our subsample without Mg II (Baseline LRGs) is consistent with the general LRGs population. Taking this into account, all Baseline LRGs covering fractions (CFC_{F}) might be higher by 0.05\lesssim 0.05 (this still holds if we take into account that the Mg II covering fraction is higher at <120<120 kpc). We choose a minimum EW of >0.3>0.3 Å, based on our H I 1215 detection threshold. We repeat a similar calculation for metal lines (using different thresholds). When calculating CFC_{F}, we do not include upper limits that exceed the adopted EW threshold. For H I 1215, we include seven of eight of our Baseline LRGs, all nine C-LRGs, and two B-LRGs.

To estimate errors in the CFC_{F}, we calculate the Wilson score interval with a significance level 0.3173, corresponding to a 1σ\sim 1\sigma confidence interval.

In our Baseline LRGs subsample, 4 of 8 LRGs have EW(H I 1215) >0.3>0.3 Å, and one has upper limit higher than 0.30.3 Å (see Table 3). The derived CFC_{F} is 0.570.18+0.170.57^{+0.17}_{-0.18}. For the C-LRGs we derive CFC_{F} of 0.670.17+0.130.67^{+0.13}_{-0.17}, which is consistent with our sample. When we combine our sample with C-LRGs and B-LRGs, we obtain a H I 1215 covering fraction of CF0.560.12+0.11C_{F}\sim 0.56^{+0.11}_{-0.12} (EW >0.3>0.3 Å), implying that it is common to detect H I in LRGs’ CGM.

We detect H I in four Baseline LRG-CGM systems. Around three of these galaxies we detect metal lines. In most LRG-CGM systems, the strongest UV metal line that we observe is C III 977. For our Baseline sample combined with C-LRGs, the CFC_{F} for the detection of EW(C III 977) >0.2>0.2 Å is 0.380.11+0.13{}^{+0.13}_{-0.11}, which is a bit smaller than the CFC_{F} for EW(H I 1215) >0.3>0.3 Å. We do not find LRGs with strong H I and no metal lines detected. The only LRG with H I and no metal lines detected shows one of the weakest H I that we detect, with only Lyα\alpha line detected above 3σ\sigma.

For the MgII-LRGs, we detect H I1215 and C III 977 in all cases, and obtain CFC_{F} for EW(C III 977) >0.3>0.3 Å of 10.13+0{}^{+0}_{-0.13}.

5.2 EW(H I) Dependence with Impact Parameter

Previous studies found that EW(H I 1215) from the CGM of L\sim L^{*} and <L<L^{*} galaxies decreases with increasing impact parameter (see e.g. Prochaska et al., 2011; Bordoloi et al., 2018). For LRGs, or massive >L>L^{*} galaxies, at z0.5z\sim 0.5, Mg II, measurements show a similar correlation. Motivated by these results, in Figure 4 we show EW(H I 1215) vs. impact parameter for MgII-LRGs, Baseline LRGs, and literature LRGs, and we test if there is any similar correlation for LRGs. We apply the generalized Kendall’s Tau test (BHK method), for which we use a code from the ASURV package (Feigelson & Nelson, 1985; Isobe et al., 1986; LaValley et al., 1990) that we translated into Python777https://github.com/marijana777/pyasurvpart.

For MgII-LRGs, we obtain a correlation coefficient -0.43, implying a moderately strong (anti)correlation. On the other hand, for the general population of LRGs, we recover a weaker correction. For Baseline LRGs combined with literature LRGs, we recover a weak correlation, with a correlation coefficient of -0.30. These results are significant to 1.4σ\sim 1.4\sigma and 1.6σ\sim 1.6\sigma, respectively. When we scale impact parameter to virial radius, we obtain similar and a bit weaker and less significant results. For comparison, for 24 COS-Halos blue galaxies, the generalized Kendall’s Tau test gives a correlation coefficient of -0.41 and a significance level of 2.8σ\sim 2.8\sigma. In contrast, for COS-Halos red galaxies, there is no statistically significant correlation (the correlation coefficient is 0.018, and the p-value is 0.1σ\sigma).

In the next section, we test if there is a correlation between H I column densities, NHIN_{HI}, and impact parameter scaled to the virial radius for the combined sample of our and literature LRGs. We note that the EW(H I 1215) and NHIN_{HI} measures are correlated, but are different quantities, and that we have slightly different data available for those measurements (for half of our data we measure only upper limits in NHIN_{HI}, while, on the other hand, most of B-LRGs data do not have available EW(H I 1215) values). For those reasons, the results for NHIN_{HI} and EW(H I 1215) need not be the same.

Refer to caption
Figure 4: CGM of LRGs traced by EW(H I 1215) as a function of impact parameter. Data points that lie below the y-axes limits are shown as upper limits at a fixed value of EW =101Å=10^{-1}\AA. One notes that there is no clear decrease of LRG-CGM EW(H I 1215) with increasing impact parameter.

5.3 H I Column Densities

The spectral resolution of our COS spectra is not high enough to calculate H I column densities (NHIN_{HI}) based on Voigt profile fitting to H I Ly α\alpha. Furthermore, nearly all detections lie on the flat portion of the curve of growth. Instead, we calculate NHIN_{HI} from the Lyman-limit (LL) flux decrement, using a maximum likelihood analysis (see Prochaska et al., 2017). For each LRG-CGM with coverage of the LL, we estimated a continuum level just redward of the LL, by fitting the flux in an unabsorbed wavelength interval with a constant value. We use this value as a continuum level at the LL decrement. Then, we estimated NHIN_{HI} by applying a maximum likelihood analysis, and by using NHI=τ912/σ912(1Ryd)=ln(F912/C912)/σ912(1Ryd)N_{HI}=\tau_{912}/\sigma_{912}(1{\rm Ryd})=-\ln(F_{912}/C_{912})/\sigma_{912}(1{\rm Ryd}), where F912F_{912} is flux, C912C_{912} is continuum level, τ912\tau_{912} is the optical depth, and σ912(1Ryd)\sigma_{912}(1{\rm Ryd}) is the H I photoionization cross-section at the LL decrement. In QSO spectra with strong LL absorption, the flux is consistent with zero and the calculated NHIN_{HI} values represent lower limits. Similarly, when the LL level is comparable to the continuum level, the calculated NHIN_{HI} provides an upper limit.

In this way, for four MgII-LRGs we obtain only lower limits in NHIN_{HI}. In these cases, we set upper limits from the absence of damped Lyα\alpha absorption using damped regime of the curve of growth for EW(H I 1215) and NHIN_{HI}. For Baseline LRGs with H I detected, we estimate lower limits from the curve of growth for for EW(H I 1215) and NHIN_{HI} for Doppler parameter of 100\sim 100 km s-1. We obtain log(NHIcm2)>\log(N_{HI}{\,\rm cm^{2}})> 15.0, 17.6, 15.3, and 14.2, however, we note that these values could decrease if multiple line components are taken into account. In addition, using Doppler parameter of 50\sim 50 km s-1 or less would give too high lower limits, where in 3 of 4 cases lower limits would exceed upper limits. Note that one of these LRGs (LRG_1102+4543) has EW(H I 1215) 2.5\sim 2.5 Å, and NHI<1015.77N_{HI}<10^{15.77} cm-2. Based on the curve of growth, NHIN_{HI} corresponding to this EW(H I 1215) are >1017.6>10^{17.6} (for b100b\sim 100 km s-1). However, multiple line components and errors in the derived NHIN_{HI} must decrease the true NHIN_{HI}. We note that one of the LRGs, LRG_1549+0700, has a decline in the flux level at wavelength that corresponds to the LRG Lyman-limit system (912 Å). However, this LRG does not have detected Lyα\alpha or any of the H I Lyman transitions. We therefore adopt the measured column density as an upper limit. The measurements are listed in Table 4. Figure 5 shows the LL decrement for one of our LRG-CGM systems. The complete figure set (15 images with the LL decrement in all our LRG-CGM systems) is available in Appendix F (Figures 24-38).

Table 4: Column densities NHIN_{HI} for our LRG-CGM systems.

MgII-LRGsa Name logNHI\log N_{HI} (LLS) logNHI\log N_{HI} (DLA) (cm-2) (cm-2) LRG_1059+4039 >17.69>17.69 <20.4<20.4 LRG_1106-0115 17.260.00+0.0217.26^{+0.02}_{-0.00} LRG_1121+4345 >17.89>17.89 <19.20<19.20 LRG_1144+0714 >17.91>17.91 <19.4<19.4 LRG_1351+2753 17.370.02+0.0317.37^{+0.03}_{-0.02} LRG_1440-0157 17.020.02+0.0317.02^{+0.03}_{-0.02} LRG_1520+2534 >17.86>17.86 <20.65<20.65 Baseline LRGsb Name logNHI\log N_{HI} (cog) logNHI\log N_{HI} (LLS) (cm-2) (cm-2) LRG_0226+0014 <16.34<16.34 LRG_0855+5615 >15.0>15.0 <15.8<15.8c LRG_1102+4543 >17.6>17.6 <15.77<15.77 LRG_1217+4931 >15.3>15.3 <15.77<15.77 LRG_1237+1106 >14.2>14.2 <16.64<16.64 LRG_1251+3025 <16.20<16.20 LRG_1306+3421 <16.66<16.66 LRG_1549+0701 <16.42<16.42

  • a

    Columns contain LRG-CGM name, NHIN_{HI} calculated from the LL flux decrement, and upper limits in NHIN_{HI} calculated from the fitted damped Lyα\alpha line profile. When only lower limits in NHIN_{HI} are available from the LL flux decrement, we also calculate upper limits in NHIN_{HI} from the fitted damped Lyα\alpha line profile, and adopt average value between the upper and lower limit, with the error equal half of the difference between these limits.

  • b

    Columns contain LRG-CGM name, lower limits in NHIN_{HI} estimated from the curve of growth for Doppler parameter of 100\sim 100 km s-1, and NHIN_{HI} calculated from the LL flux decrement.

  • c

    LRG_0855+5615 has a LLS at higher redshift, that absorbs majority of the flux blueward of it, making its NHIN_{HI} estimate less reliable.

Refer to caption
Figure 5: The LL decrement in the J1059+4039 spectrum. The black line is flux, the red dotted line is the 1σ1\sigma error in the flux, and the vertical green dashed line is the expected location of the LL. The measured H I column density NHIN_{HI} is shown in the upper left corner. The complete figure set (15 images with the LL decrement in all our LRG-CGM systems) is shown in Appendix F.

From Table 4 one notes that we detect NHI>1017N_{HI}>10^{17} cm-2 in all seven MgII-LRGs. However, for all Baseline LRGs, we measure upper limits in NHIN_{HI} that are 1016.66\lesssim 10^{16.66} cm-2 (with an exception that one Baseline LRG might not have reliable NHIN_{HI} measurement). This result indicates that detecting optically-thick H I gas around LRGs is rare, in agreement with Berg et al. (2019). LRG-CGM in our and Berg et al. (2019) samples show lower NHIN_{HI} than in Chen et al. (2018) sample, where three of the nine LRGs have NHI>1017N_{HI}>10^{17} cm-2. This is likely due in part to an impact parameter effect (as we will see from Figure 6).

Our results show that the detection of high-NHIN_{HI} gas (e.g., optically-thick H I gas) is often associated with the detection of Mg II, or low-ionization metal ions. This implies that more dense gas is more likely to contain low-ionization metal ions. In addition, the B-LRG sample contains two LRGs with NHIN_{HI} greater than 1017.510^{17.5} cm-2 and associated low-ions. In B-LRG sample, five LRGs have measured column densities for low-ionization metal ions (such as Mg II or C II) that are not upper limits, and all of these five LRGs have the highest NHIN_{HI} (not taking into account one LRG with a lower limit in NHIN_{HI}). Similarly, three C-LRGs have NHI>1017N_{HI}>10^{17} cm-2, one of which does not have metals detected, and two of them show the strongest Mg II. The other six LRGs either do not have H I detected, or have EW(Mg II 2796) <0.3Å<0.3\AA, confirming the association of strong Mg II with high NHIN_{HI}.

Figure 6 shows H I column density NHIN_{HI} as a function of impact parameter scaled to the virial radius, for our LRGs sample and for literature LRGs. We note that four of these LRGs with the highest NHIN_{HI} have impact parameter <0.3Rvir<0.3R_{\rm vir}. The generalized Kendall’s Tau test shows a moderately strong anti-correlation between NHIN_{HI} and R/RvirR/R_{\rm vir} in our combined sample (with correlation coefficient -0.41) between NHIN_{HI} and impact parameter, with significance 2.8σ\sim 2.8\sigma, suggesting that a large fraction of the cool LRG CGM gas is gravitationally bound to the LRG host halos.

Refer to caption
Figure 6: H I column densities as a function of impact parameter scaled to the virial radius, for our LRGs and literature LRGs. For the four MgII-LRGs with a lower limit from the LL decrement, the measurements represent medians of the lower limit (from the LL flux decrement) and the upper limit (from the curve of growth). Four Baseline LRGs with EW detection and with upper limits from the LL flux decrement are circled and shown as full diamonds upper limits. Some of the data points would be below the y-axes limits, and these points are shown as upper limits at a fixed value 15.215.2. We do not show data points beyond R/Rvir=0.7R_{\perp}/R_{\rm vir}=0.7. Column density in H I in LRG-CGM decreases with the impact parameter scaled to the virial radius.

5.4 Kinematics

Figure 7 shows centroid velocities versus halo mass. For each LRG, the centroid velocity (dvdv, as defined in section 3) is calculated for one of the weakest reliable LRG-CGM absorption lines. The line transitions used to calculate velocity centroids are listed in Table 5. The Δv90\Delta v_{90} interval is plotted on the measurements. The mean centroid velocity for our sample is 92±22-92\pm 22 km s-1, and the velocity dispersion is 205205 km s-1. For our sample combined with literature LRGs, we measure the mean centroid velocity of 59-59 km s-1 and the velocity dispersion of 214214 km s-1. One notes that the mean centroid velocity is consistent with zero within the velocity dispersion range. One also notes that the highest velocity extents correspond to two LRGs with halo masses among the highest (one presented in Smailagić et al., 2018) .

While previously we considered only connected pixels with the flux below the continuum when searching for CGM absorption lines, now we search for additional line components inside [-3500,3500] km s-1. We find all pixels such that apparent column densities for both Lyα\alpha and for Lyβ\beta exceed its errors, in at least 3 adjacent pixels. We then inspected candidate components, and selected only statistically significant and clearly identified additional components. We find such velocity components around two LRGs, one from MgII-LRGs (LRG_1059+4039) and the other from Baseline LRGs (LRG_0855+5615). The additional component around LRG_1059+4039 shows strong H I Lyα\alpha line, with EW (H I 1215) =1.33±0.08=1.33\pm 0.08 Å, and other transitions (such as EW (H I 1025) =0.84±0.07=0.84\pm 0.07 Å, EW (H I 972) =0.64±0.07=0.64\pm 0.07 Å , and EW (C III 977) =0.40±0.07=0.40\pm 0.07 Å) . The additional component around LRG_0855+5615 shows an H I Lyα\alpha line, with EW (H I 1215) =0.48±0.06=0.48\pm 0.06 Å, as well as EW (H I 1025) =0.17±0.04=0.17\pm 0.04 Å  and EW (O VI 1031) =0.27±0.04=0.27\pm 0.04 Å.

The right panel of Figure 7 shows the average EW per wavelength interval for MgII-LRGs and Baseline LRGs, including flux from LRGs and additional components. MgII-LRGs show more shallow profile than Baseline LRGs, implying that the CGM gas in MgII-LRGs and Baseline LRGs sigthlines might trace gas with different properties. For example, because it is expected that, due to ram-pressure drag force, the velocity of a cool cloud that is moving in a hot halo will be decreasing with time and that the decrease would be higher for less massive clouds, the CGM of the MgII-LRGs might trace cool clouds that formed more recently or that are more massive. At the same time, clouds of gas that show strong Mg II absorption might contain more cool gas and hence be formed at later time or be more massive than the clouds that do not show Mg II. In addition, Nielsen et al. (2016) found that red galaxies at low redshift show smaller velocity dispersions than blue galaxies, which could be explained by more recent star formation outflows in blue galaxies. We conclude that in the past when LRGs or their neighboring galaxies were forming stars MgII-LRGs might on average experienced outflows more recently than Baseline LRGs.

From Figure 7, left panel, one notes that for all LRGs the velocity extent is inside the estimated escape velocity of LRG halos excluding additional components, implying that the CGM gas is gravitationally bound to the halos. Velocities of the two additional components (associated with LRG_1059+4039 and LRG_0855+5615) are similar or larger than the corresponding escape velocities. We found that, for LRG_1059+4039, the additional component likely originates from the same halo as the target LRG, while for LRG_0855+5615 we could not conclude if the additional component is associated with the target LRG halo (see Appendix E). If the additional component for LRG_1059+4039 originates from the same halo, then the CGM gas associated with this component is not gravitationally bound to the host halo.

Refer to caption
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Figure 7: Kinematic properties of LRG-CGM systems. Left panel: Centroid velocities (dvdv) versus virial mass for our MgII-LRGs (orange stars), our Baseline LRGs (red diamonds), and literature LRGs (magenta circles). The error bars denote velocity extents Δv90,Lyα\Delta v_{90,Ly\alpha}. For two LRGs, we also show additional line components. For these line components we show full velocity range included in analysis instead of Δv90,Lyα\Delta v_{90,Ly\alpha}. The gray line denotes v=0v=0 km s-1. Blue dash-dotted lines denote escape velocity at 30 kpc and at 400 kpc. One notes that velocities of the LRG-CGM gas are consistent with being within the escape velocity of the host halos. Right panel: Average rest-frame equivalent widths per wavelength interval for H I 1215 for MgII-LRGs (orange line with stars) and Baseline LRGs (red line with diamonds). For MgII-LRGs, average rest-frame equivalent widths per wavelength interval are scaled so that the area below the function is the same for MgII-LRGs and for Baseline LRGs. We include only data points that are inside the analyzed velocity intervals for H I 1215 lines, and two additional velocity components that are also shown in the left panel. One notes that MgII-LRGs show more shallow profile than Baseline LRGs.
Table 5: Centroid velocities and velocity extents for LRG-CGM systemsa

Name RR_{\perp} Transition dvdv Δv90\Delta v_{90} (kpc) (km s-1) (km s-1) LRG_1059+4039 29 Si II 1193 -480 2096 LRG_1106-0115 383 H I 919 -196 319 LRG_1121+4345 80 H I 972 80 915 LRG_1144+0714 97 Si II 1193 -165 901 LRG_1351+2753 99 H I 923 -180 688 LRG_1440-0157 342 H I 930 263 826 LRG_1520+2534 224 Mg II 2796 -75 2181 LRG_0226+0014 356 LRG_0855+5615 314 H I 972 -196 602 LRG_1102+4543 192 C III 977 -167 1300 LRG_1217+4931 208 H I 972 -254 596 LRG_1237+1106 22 H I 1215 22 268 LRG_1251+3025 280 LRG_1306+3421 184 LRG_1549+0701 120

  • a

    Columns contain LRG-CGM name, LRG impact

    parameter, transition used to derive centroid velocity,

    centroid velocity (dvdv), and velocity extent (Δv90\Delta v_{90}).

    We used H I 1215 to derive Δv90\Delta v_{90}.

6 Discussion: Baseline LRGs

6.1 H I at the Highest Masses

Recently, Bordoloi et al. (2018) found that EW(H I 1215) corrected for RR_{\perp} increases with stellar mass, and parameterized a relation between EW(H I 1215), RR_{\perp}, and stellar mass (MM_{*}) as:

log10EWcorr=0.34+0.286×log(M/M),\log_{10}EW_{\rm corr}=0.34+0.286\times\log(M_{*}/M_{\sun}), (3)

where

log10EWcorr=log10EW+0.0026R.\log_{10}EW_{\rm corr}=\log_{10}EW+0.0026R_{\perp}. (4)

We now test if the Bordoloi et al. (2018) relation holds for more massive galaxies.

In Figure 8, we show log10EWcorr\log_{10}EW_{\rm corr} as a function of stellar mass, for Baseline LRGs, literature LRGs, L\sim L^{*} galaxies and <L<L^{*} galaxies. Literature LRGs include C-LRGs and the only one B-LRG with H I 1215 significantly detected. One notes that, as previously found (see e.g., Bordoloi et al., 2018), for L\lesssim L^{*} galaxies, EWcorr increases as stellar mass increases. In agreement with this increase, a few LRGs show the highest EWcorr; however, the detections in LRGs also span a broader range of EWcorr than in less massive galaxies. One other difference is that at the highest masses, >1011.5M>10^{11.5}M_{\sun}, the EWcorr values are, on average, smaller than at lower masses. At these masses, only one of seven galaxies has a detected cool CGM, while other six are upper limits.

Next, we calculate median log10EWcorr\log_{10}EW_{\rm corr} values in different stellar mass bins. Figure 8 shows that the median log10EWcorr\log_{10}EW_{\rm corr} increases with stellar mass for masses M<1011.5MM_{*}<10^{11.5}M_{\sun}. However, for the highest-mass bin (M>1011.5MM_{*}>10^{11.5}M_{\sun}), the median log10EWcorr\log_{10}EW_{\rm corr} is below the median log10EWcorr\log_{10}EW_{\rm corr} values of nearly every other galaxy with M>109MM_{*}>10^{9}M_{\sun}.

A decrease in EWcorrEW_{\rm corr} at the highest stellar masses is in agreement with predictions both from theory and from observations of clusters of galaxies (Dekel & Birnboim, 2006; Nelson et al., 2015; Faucher-Giguère, 2017; van de Voort et al., 2017; Burchett et al., 2018). To further explore the statistical significance of this result, we compare covering fractions (CFC_{F}) for the detection of EWcorr higher than minimum logEWcorr,min=0\log EW_{\rm corr,min}=0 for galaxies in different stellar mass bins. The results are shown on the lower panel of Figure 8. The CFC_{F} and Wilson score intervals for 1σ\sim 1\sigma confidence intervals for different logM\log M_{*} bins are listed in Table 6. One notes that the upper limit on CFC_{F} for the most massive halos (<0.61<0.61) is below the CFC_{F} corresponding to logM=[11,11.5]\log M_{*}=[11,11.5], [10.5,11], and [10,10.5][10,10.5].

This lends further support to the notion that the average strength and incidence of H I Lyα\alpha absorption declines in the most massive halos at z<1z<1.

Table 6: Wilson score intervals for CFC_{F} from Figure 8, bottom panel
logM\log M_{*} bin CFC_{F} Wilson score interval
[8,9][8,9] 0.1 [0.04,0.23][0.04,0.23]
[9,9.5][9,9.5] 0.42 [0.29,0.56][0.29,0.56]
[9.5,10][9.5,10] 0.59 [0.48,0.69][0.48,0.69]
[10,10.5][10,10.5] 0.81 [0.70,0.89][0.70,0.89]
[10.5,11][10.5,11] 0.69 [0.56,0.79][0.56,0.79]
[11,11.5][11,11.5] 0.79 [0.68,0.87][0.68,0.87]
[11.5,12][11.5,12] <0.61<0.61

We note that even if the EWs are not corrected for impact parameter, we find an even larger decrease at the highest masses. This is expected because our LRGs on average have larger impact parameters than COS-Halos and COS-Dwarfs and, hence, the difference between the corrected EWs for LRGs and L\lesssim L^{*} galaxies would, on average, be smaller than for uncorrected EWs.

On the other hand, when compared with MgII-LRGs (which are more rare and not shown on the Figure 8), the highest EWcorr are also found at the highest stellar masses, implying that even some of these very massive galaxies might contain significant amounts of cool CGM gas in their halos.

Refer to caption
Figure 8: CGM H I as a function of stellar mass. Top: log\log EW (H I 1215) corrected for the impact parameter as a function of stellar mass, for our Baseline LRGs (red diamonds), literature LRGs (magenta circles), COS-Halos (blue squares), and COS-Dwarfs (blue diamonds). The full gray line shows relation derived by Bordoloi et al. (2018). Black open diamonds are median values for all data points inside stellar mass bins logM\log M_{*} of [8,9], [9,9.5], [9.5,10], [10,10.5], [10.5,11], [11,11.5], [11.5,12]. Some of the data points would be below the y-axes limits. These points are shown as upper limits at a fixed value of -1. Vertical gray dashed line corresponds to logM11.5\log M_{*}\sim 11.5. Bottom: Covering fraction for the detection of EWcorr higher than minimum EW=corr,min0{}_{\rm corr,min}=0 for galaxies in stellar mass bins with width in logM\log M_{*} intervals of 0.5. While the EWcorr(H I 1215) increases with stellar mass for \lesssim L galaxies, the most massive galaxies show smaller EWcorr(H I 1215).

6.2 Comparison with CGM Studies at Other Redshifts: Covering Fractions

In section 5.1, we combined our Baseline sample with literature LRGs and derived the covering fraction for EW(H I 1215) >0.3>0.3 Å for LRG-CGM, equal CF0.560.12+0.11C_{F}\sim 0.56^{+0.11}_{-0.12}.

LRGs are massive galaxies, and are located in massive halos, at z0.5z\sim 0.5. Current theory predicts that massive halos at low redshift contain very small mass of cool gas (Dekel & Birnboim, 2006; Nelson et al., 2015; Faucher-Giguère, 2017). In addition, Zahedy et al. (2019) found that LRG halos on average contain only 4×1010M4\times 10^{10}M_{\sun} in cool gas mass, which is 613\sim 6-13 percent of the expected hot CGM gas mass. Despite this, approximately half show significant, and in some cases strong, H I absorption in the surrounding CGM. QSO host halos are massive halos at redshifts z23z\sim 2-3, significant fraction of which is predicted to evolve into LRG halos (White et al., 2012). CGM of QSOs is known to show the strongest H I and low-ionization metal CGM absorption lines (e.g. Prochaska et al., 2013). One representative example for massive halos in the local Universe is from the well studied Virgo cluster. In contrast, along lines of sight around Virgo cluster, H I is rarely detected.

Figure 9 shows CFC_{F} for the detection of EW(H I) >0.3>0.3 Å in the CGM for massive halos at z03z\sim 0-3. For QSO host halos, we calculate CFC_{F} for the subsample with impact parameters <300<300 kpc (see Prochaska et al., 2013). The CFC_{F} would not significantly change if instead of the subsample with impact parameters <300<300 kpc we use impact parameters <400<400 kpc or <100<100 kpc (2/3\sim 2/3 the virial radius of the QSO host halos). For the Virgo cluster, we use results from Yoon et al. (2012, their table 6), which include absorbers within 1000 - 3000 km s-1, with impact parameters smaller than the virial radius for Virgo cluster, and which have EW >0.3>0.3 Å. The Virgo cluster’s virial radius is 1.6\sim 1.6 Mpc, and the CFC_{F} might be smaller if we include absorbers only inside 400 kpc, see Yoon et al. (2012). The obtained covering fraction for CGM of LRGs at redshift z0.5z\sim 0.5 (i.e., CF(LRG)0.56C_{F}(\rm LRG)\sim 0.56) is between the CFC_{F} of z23z\sim 2-3 QSO host galaxies (CF(QSO)1C_{F}(\rm QSO)\sim 1) and z0z\sim 0 Virgo cluster absorbers (0.08\sim 0.08). This is expected if the amount of cold gas around massive galaxies decreases with time. For example, we expect that massive halos could not efficiently accrete cold gas at low redshift; and the interaction between cool gas clouds and hot halo gas lessens the mass of cool gas in the clouds that were found in massive halos at high redshift (see e.g., Dekel & Birnboim, 2006; Nelson et al., 2015; Armillotta et al., 2017; Faucher-Giguère, 2017; van de Voort et al., 2017).

Figure 9 also compares the CFC_{F} of non star-forming galaxies at z00.5z\sim 0-0.5 with halo masses 10121014.5M\sim 10^{12}-10^{14.5}M_{\sun}. Impact parameters for passive COS-Dwarfs and COS-Halos are up to 140\sim 140 kpc and 160\sim 160 kpc, which is up to 0.7\sim 0.7 and 0.6\sim 0.6 of their halo’s virial radius. CFC_{F} increases with increasing halo mass, in agreement with previous studies for L\lesssim L^{*} galaxies (e.g., Bordoloi et al., 2018; Lan, 2020). For the most massive galaxies, however, we find that the CFC_{F} decreases. The LRG CFC_{F} is between \sim local L\sim L^{*} galaxies and Virgo cluster, which is expected if the more massive L\gtrsim L^{*} galaxies contain less cold gas. One also notes that CFC_{F} for LRGs and non star-forming galaxies differ by more than its 1-σ\sigma errors.

Refer to caption
Refer to caption
Figure 9: Covering fraction of H I (CFC_{F}) in the LRG-CGM compared to the other data. The data include CGM measurements around: Virgo cluster (orange square; Yoon et al., 2012), LRGs (our Baseline LRGs combined with literature LRGs), QSO hosts (green circle Prochaska et al., 2013), non star-forming COS-Halos (blue triangle; Tumlinson et al., 2013), and non star-forming COS-Dwarfs (violet diamond; Bordoloi et al., 2014). The error bars on the CFC_{F} correspond to the calculated Wilson score intervals. Left: Covering fraction versus redshift, for massive halos at different redshifts. The most massive halos show smaller CFC_{F} at lower redshifts. Typical (average) R/RvirR_{\perp}/R_{\rm vir} for Virgo cluster, LRGs, and QSO hosts are 0.5, 0.3, and 1, respectively. Right: Covering fraction versus halo mass, for non star-forming galaxies at z00.5.z\sim 0-0.5. The typical (average) R/RvirR_{\perp}/R_{\rm vir} for COS-Halos and COS-Dwarfs galaxies are 0.3 and 0.5, respectively. All covering fractions are calculated for EWmin (H I 1215) >0.3>0.3 Å (upper filled symbols). Covering fractions for LRGs, QSO hosts, non star-forming COS-Halos, and non star-forming COS-Dwarfs are also calculated for EWmin (H I 1215) >1>1 Å (lower open symbols).

We note that Baseline LRGs show a broad range of H I EWs, from values which are similar to the average QSO hosts EWs, to the values that are below the average L\sim L^{*} galaxies.

6.3 O VI in Massive Halos

Previous studies showed that O VI 1031 is correlated with specific star-formation rate, and rarely detected in the CGM of non star-forming red galaxies (Tumlinson et al., 2011). One possible explanation is that the observed red galaxies are more massive, and have higher virial temperature, such that oxygen is found in a more highly ionized state in these halos (Oppenheimer et al., 2016). In Figure 10 we show EW(O VI 1031) vs MuMrM_{u}-M_{r} color for COS-Halos and for LRGs, where MuM_{u} and MrM_{r} are absolute SDSS magnitudes. Impact parameters for COS-Halos, our LRGs, and literature LRGs are up to 160\sim 160 kpc, 400 kpc, and 500kpc. One can see that, in agreement with the results in Tumlinson et al. (2011), the EW(O VI 1031) decreases as the colors are redder, and for MuMr>2M_{u}-M_{r}>2 all COS-Halos galaxies have EW(O VI 1031) 0.35\lesssim 0.35 Å. Most LRGs also show EW(O VI 1031) 0.35\lesssim 0.35 Å. One of the eight Baseline LRGs shows EW(O VI 1031) >0.35>0.35 Å. Consistent with these measurements, one of nine C-LRGs also shows strong O VI. In B-LRGs, for 11 of which we measured EW(O VI 1031), we do not find any similarly strong O VI, which is again consistent with our results.

Figure 10 also shows EW(O VI 1031) vs halo mass. For COS-Halos and LRGs, EW(O VI 1031) decreases as halo mass increases. However, although LRGs have among the highest halo masses, two of the LRGs show EW(O VI 1031) among the highest. Their halo masses are among the highest in the combined sample of COS-Halos and LRGs, but among the lowest in LRGs sample. Our results indicate that massive halos usually do not show strong O VI, but some contain strong O VI, and that the origin of O VI could not be explained only by different halo masses.

Refer to caption
Refer to caption
Figure 10: CGM O VI as a function of color and halo mass. Left panel: Comparison of EW(O VI 1031) vs. MuMrM_{u}-M_{r} color for our Baseline LRGs and COS-Halos. MuM_{u} and MrM_{r} are absolute SDSS magnitudes. Open symbols denote upper limits. Right panel: EW(O VI 1031) vs. halo mass for LRGs (our Baseline LRGs combined with literature LRGs) and COS-Halos. We detect O VI 1031 in only one of eight LRG-CGM systems (LRG_0855+5615). However, when detected, EW(O VI 1031) might exceed that of the CGM of red \sim L z0.2z\sim 0.2 galaxies.

7 Discussion: MgII-LRGs

7.1 Comparison with CGM Studies at Other Redshifts: Similarity of LRGs and QPQ for HI

White et al. (2012) predicted that a significant fraction of QSO hosts (massive galaxies at z23z\sim 2-3) evolve into LRGs (massive galaxies at z0.5z\sim 0.5). Hence, the CGM observed in QSO hosts might be evolutionary related to the CGM observed around LRGs. Motivated by this, in Figure 11 we show EW(H I 1215) as a function of impact parameter for our MgII-LRGs and QSO host galaxies and, for reference, COS-Halos. Since EWs are expected to be correlated with impact parameter, we first correct the observed EWs for impact parameter, as in 6.1. Then, we apply a Kolmogorov-Smirnov (KS) test on the corrected EWs for our MgII-LRGs and QSO hosts within 400 kpc (the same range as for LRGs). The KS test gives statistics 0.14 and p-value 0.998, therefore we do not reject the null hypothesis that the distributions of the two samples are the same. When we applied KS test on MgII-LRGs and COS-Halos (or red COS-Halos, with ur>2u-r>2 ), the obtained statistic is 0.73 (0.65), and p-value is 0.0014 (0.013), which rejects the hypothesis that our MgII-LRGs and COS-Halos (either whole sample or only red galaxies) originate from the same distribution.

This supports the idea that the QSO-CGM and LRG-CGM might be evolutionary connected. One possible explanation is, as briefly discussed in Smailagić et al. (2018), that the cool gas around QSOs is heated with time, and the largest cool gas clouds might survive until z0.5z\sim 0.5 (and be observed as MgII-LRGs CGM), while the smaller clouds might be heated and transformed into hot gas (and be observed as Baseline LRGs without H I detected), see e.g. Armillotta et al. (2017), Mandelker et al. (2020), Gronke & Oh (2018) and discussion in Armillotta et al. (2017). Butsky et al. (2020) found that cosmic rays pressure could prevent cool CGM gas from falling into the central galaxy without changing the temperature of this gas (see also Hopkins et al., 2020). The authors found that this effect may explain abundant cool gas in the CGM around quenched galaxies. The same effect could prevent some of the cool gas clouds around QSOs from falling into the central galaxy. Another possibility is that the strongest QSO-CGM systems evolve into the CGM of MgII-LRGs and that when the strongest QSO-CGM systems evolve to the redshift z0.5z\sim 0.5, then the distribution of the H I gas in their CGM is the same as in the overall population of QSOs at z23z\sim 2-3.

We note that if impact parameters are scaled to the virial radius, we do not obtain statistically significant results when we compare the distribution of the CGM around MgII-LRGs with the CGM around QSO hosts (and around \sim local L\sim L^{*} galaxies). However, if the QSOs’ CGM are gravitationally bound, then we might expect that a large fraction of this gas will stay at similar or lower distance from the halo center. Since we find that the distributions of the cool CGM around MgII-LRGs and QSO hosts as a function of impact parameter are the same, our results support this scenario, where cool gas clouds stay at approximately the same distance from the central galaxy over a few Gyr.

We note that SMGs might also evolve into LRGs (see White et al., 2012). Fu et al. (2016) studied CGM around three SMGs at 100200\sim 100-200 kpc, and found that their EWs are 23\sim 2-3 Å, consistent with QSO hosts and our measurements. However, these SMGs do not show metal absorption or optically thick H I gas in their CGM. In contrast, our LRGs often show metal absorptions in their CGM.

Refer to caption
Refer to caption
Figure 11: EW (H I 1215) as a function of impact parameter, for our MgII-LRGs (red stars), compared to other CGM data. Other CGM data shown on the Figure include: COS-Halos (blue open squares), QSO host galaxies (orange open circles), and our Baseline LRGs (red open diamonds). Blue line denotes predicted EW(H I 1215) relation from Bordoloi et al. (2018) for average logM\log M_{*} for COS-Halos. Orange line denotes average EW(H I 1215) for QSO hosts. Some of the data points would be below the y-axes limits. These points are shown as upper limits at a fixed value of -1. On the left panel impact parameters are not scaled, while on the right panel impact parameters are scaled to the virial radii. From the left panel, one notes that MgII-LRGs and QSO host galaxies show similar CGM properties, and that the CGM of LRGs and QSO host galaxies might be evolutionary connected.

7.2 O VI in MgII-LRG CGM Systems

In our sample of MgII-LRGs, five of seven CGM show O VI 1031, three of which have EW(O VI 1031)>0.35>0.35 Å (among which are the two LRGs discussed in Smailagić et al., 2018). One further notes that the highest EW(O VI 1031) are detected in the lowest halo masses, for MgII-LRGs, as well as for Baseline LRGs.

Among COS-Halos with EW(Mg II 2796) >0.3>0.3 Å, five galaxies have ur>2u-r>2, and all of them have EW(O VI 1031)0.35\lesssim 0.35 Å. This gives a probability to detect EW(O VI 1031) 0.35\gtrsim 0.35 Å along one line of sight for a sample with the same O VI properties as COS-Halos, which is <1/5<1/5. If LRGs and COS-Halos originate from the same distribution, a probability to detect EW(O VI 1031)>0.35>0.35 Å in three of seven MgII-LRGs is less than 0.28, which is close to 1 - σ\sigma. We conclude that the warm-hot gas phases in the CGMs of LRGs and red COS-Halos might have different properties, but we need higher number of galaxies to obtain statistically significant results. One possible explanation is that some of LRGs are surrounded with star-forming neighboring galaxies, and that CGM O VI originates from groups containing both a LRG and a blue star-forming neighboring galaxy. We discuss this possibility in the next section.

8 Environment and Neighboring Galaxies

8.1 Selection and Colors

In this section, we explore the relation between neighboring galaxies and the observed CGM absorption around LRGs. All galaxies near the QSO sightline might contribute to the observed CGM absorption. Smailagić et al. (2018) explored the same question and performed similar analysis; however, the authors discussed only results that were relevant to the two LRGs with extreme CGM, and did not provide results for the rest of the sample. Here we briefly describe the method, which is similar as in Smailagić et al. (2018) but with small modifications, and provide results for the whole sample of 15 LRGs.

We searched for all galaxies in SDSS that are projected within 200 kpc of our QSO sightlines. Most of these galaxies have only photometric redshifts available, which we adopted. We selected all of these galaxies with photometric redshift consistent with the LRG redshift, i.e., for which |zLRGzphot|<σ(zphot)|z_{\rm LRG}-z_{\rm phot}|<\sigma(z_{\rm phot}), where zphotz_{\rm phot} is the photometric redshift, zLRGz_{\rm LRG} is the LRG redshift, and σ(zphot)\sigma(z_{\rm phot}) is the error in the photometric redshift. We will refer to these galaxies as neighboring galaxies (NGs). We found 0 - 6 NGs around each LRG.

Next, we calculated k-corrected magnitudes and its errors by using the function sdss_kcorrect from Michael Blanton’s IDL package kcorrect888http://kcorrect.org/ (version 4.3; Blanton et al., 2003). As input, we use SDSS Petrosian ugriz fluxes, its inverse variances, and extinctions in ugriz bands, and we assume that all NGs around some LRG-QSO sightline have redshifs the same as the LRG’s redshift.

For each galaxy we calculate its color. Since LRGs are typically found in dense environments (Padmanabhan et al., 2007), such as groups of galaxies, and are typically quenched (Banerji et al., 2010), we expect that most of their NGs will have red colors, but blue colors would not be unexpected (see e.g., Kovač et al., 2014). We define blue and red galaxies as defined in Gavazzi et al. (2010). The authors studied galaxies in the local Universe, and found that on the gig-i color - ii magnitude diagram red and blue galaxies could be separated with a line: gi=0.0585(Mi+16)+0.78g-i=-0.0585(M_{i}+16)+0.78, where MiM_{i} is absolute ii magnitude. We define CgiC_{gi} color as:

Cgi=0.0585(Mi+16)+0.78(gi).C_{gi}=-0.0585(M_{i}+16)+0.78-(g-i). (5)

Here, we use k-correction output absolute gg and ii magnitudes. When CgiC_{gi} color is greater (smaller) than zero, galaxies are defined as blue (red). We confirm that in all cases when LRGs satisfy our selection criteria for NGs, LRGs will have red CgiC_{gi} colors.

We choose to use the described definition to separate blue and red galaxies because uu magnitudes often have large errors. However, errors in CgiC_{gi} colors are still large for some NGs. Specifically, redder galaxies are more likely to have faint bluer magnitudes, and hence larger errors in the CgiC_{gi} color. For this reason, in the further text, we define galaxies as blue only if the CgiC_{gi} color is greater than twice the error in the CgiC_{gi} color. We mark other galaxies as red.

Figure 12 shows a histogram with the number of red and blue NGs within 200 kpc from the QSO sightlines. A full list of NGs is shown in Appendix C. The Figure shows that around most of the LRGs we find at least one NG, and the number of NGs around each of our LRGs is 6\leq 6. The number of NGs that are blue is 030-3. We note that in some cases the number of blue NGs exceeds the number of red NGs. It could be also seen from the figure that there is no a correlation between EW(H I 1215) and the number of NGs or blue NGs.

Next, we searched for NGs with spectroscopic redshifts, and found two such galaxies, both of which are LRGs:

1) LRG_1059+4039: another LRG was found at 200\sim 200 kpc, and its redshift is offset from the target LRG by 200200 km s-1;

2) LRG_1549+0701: another LRG was found at 1793 km s-1 from the targeted LRG. This another LRG does not have photometric redshift consistent with the target LRG, and was not included in our sample of NGs. Due to a relatively large velocity difference, we do not include it in our analysis.

Smailagić et al. (2018) found one additional galaxy close to the QSO_1059+4039 sightline. Based on Panoramic Survey Telescope and Rapid Response System (Pan-STARRS) images, we assume that this galaxy has red color.

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Figure 12: Number of neighboring galaxies (NGs) inside <200<200 kpc from the QSO sightlines. Red and blue NGs are labeled in red and blue color, respectively (see text for the definition that we use). Different bins correspond to different LRGs. LRGs are sorted from the maximum to the minimum EW(H I 1215). ID numbers from 0 to 14 correspond to the following LRGs: LRG_1520+2534 (0), LRG_1059+4039 (1), LRG_1102+4543 (2), LRG_1144+0714 (3), LRG_1121+4345 (4), LRG_1440-0157 (5), LRG_1351+2753 (6), LRG_1217+4931 (7), LRG_0855+5615 (8), LRG_1237+1106 (9), LRG_1106-0115 (10), LRG_0226+0014 (11), LRG_1549+0701 (12), LRG_1251+3025 (13), LRG_1306+3421 (14). NGs do not include LRGs. In our sample, LRGs have 0-6 NGs, which includes both blue and red galaxies. It could be also seen from the figure that there is no a correlation between EW(H I 1215) and the number of NGs or blue NGs.

8.2 The Role of Blue NGs

We now investigate connection between the environment of LRGs and the detection of O VI in the CGM. Blue and red galaxies are typically star-forming and passive galaxies, respectively. Previous work by Tumlinson et al. (2011) found that the CGM of star-forming L\sim L^{*} z0.2z\sim 0.2 galaxies often shows strong O VI absorption, while passive galaxies rarely have O VI detected in their CGM, and that O VI column densities are correlated with specific star-formation rates in host galaxies. Later, theory work by Oppenheimer et al. (2016) found that one possible explanation is that different halo masses could explain this correlation. These authors found that the host halos of star-forming galaxies have the virial temperature at which the O VI ionization fraction reaches maximum, while passive galaxies are typically located in more massive halos. These more massive halos have oxygen mostly in more highly ionized states. However, in contrast to these results, we find O VI, even strong, in the CGM around some of massive quenched galaxies, or LRGs, in our sample. This finding motivated us to study if such LRGs have more blue galaxies in their surroundings, than the ones without O VI.

In our sample, LRGs with blue NGs show O VI in 5 of 7 cases. In contrast, only one of 8 LRGs without blue NGs shows O VI. In addition, this one LRG without blue NGs that shows O VI has the lowest O VI among all detections in our sample, and it does not have red NGs either. In addition, we note that all red COS-Halos galaxies with EW(O VI 1031) greater than 0.24 Å have blue NGs. These results indicate that there is a possible correlation between NGs and the LRG-CGM O VI.

We combine our sample of 15 LRGs with literature LRGs and red COS-Halos galaxies and divide the combined sample in two subsamples, one with blue NGs, and the other without. In the combined sample, 29 of 47 galaxies have a blue NG inside 200 kpc, and in our sample of 15 LRGs, 7 LRGs have blue NGs. We note that two of blue NGs around one of COS Halos galaxies (J0928+6025) have a confirmed spectroscopic redshift in Werk et al. (2012). In the left panel of Figure 13, we show EW(O VI 1031) versus stellar mass for LRGs (including our sample and literature data) and red COS-Halos, with and without blue NGs. One notes that 11 galaxies have the strongest O VI detected, with EW(O VI 1031) greater than 0.24 Å, and that in all of these cases there is a blue NG close to the QSO sightline. In contrast, among the galaxies with EW(O VI 1031) smaller than 0.24 Å, approximately half have a blue NG. If EW(O VI 1031) distribution is the same for galaxies with and without blue NGs, the probability that all of the 11 galaxies that show the strongest EW(O VI 1031) have blue NGs is 0.0020. The probability that at least one of these galaxies does not have a blue nearby NG would be 0.9980, or 3σ\sim 3\sigma. In the right panel of Figure 13, we show the fraction of galaxies with and without blue NGs that show EW(O VI 1031) greater than EWlim, for different values of EWlim, in the combined sample of LRGs and red COS-Halos galaxies. For all values of EWlim between 0.05 and 0.4, the fraction of galaxies with EW(O VI 1031)>EWlim\,>\rm EW_{\lim} is higher for galaxies with blue NGs than for galaxies without blue NGs. These results support the scenario in which the observed O VI around quenched galaxies originates from groups containing both a (massive) quenched galaxy and a blue star-forming neighboring galaxy. The O VI might originate from the blue star-forming neighboring galaxy or from environmental effects in such groups. We find a similar conclusion for a sample of 12 sightlines that probe gas inside z0z\sim 0 groups (Stocke et al., 2019): in this sample one moderately strong O VI system is detected, and that sightline contains the brightest composite galaxy (a galaxy that shows both emission and absorption lines) inside 200 kpc from the sightline.

Our results are also in agreement with a recent work of Tchernyshyov et al. (2022), where the authors found that among galaxies with the same stellar or halo mass, O VI is more commonly detected in the CGM around star-forming galaxies than around passive galaxies. Tchernyshyov et al. (2022) discussed two possible explanations for the detection of the O VI in the CGM around two passive galaxies from their sample, one was that the O VI is associated with another star-forming interloping/neighboring galaxy, and the other was that galaxies that show O VI in their CGM were quenched more recently and their CGM was still not transformed. Our results show that the former scenario might be more common.

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Figure 13: Left: Equivalent widths EW(O VI 1031) versus stellar mass for LRGs and red COS-Halos galaxies, with and without at least one blue NG. Our Baseline and literature LRGs are marked with diamonds, while MgII-LRGs are marked with stars, and COS-Halos are marked with circles. Blue and red symbols correspond to galaxies with at least one and without blue NGs, respectively. Measurements for blended O VI transitions are shown in fainter colors. Typically, galaxies with strong CGM O VI absorption have a blue NG. All (100%100\%) galaxies with measured EW(O VI 1031) >0.24>0.24 Å that are not upper limits have a blue NG, while for galaxies with EW(O VI 1031) <0.24<0.24 Å the percent of galaxies that have a blue NG is 52%52\%, or twice smaller. Gray dashed line denotes EW(O VI 1031) =0.24=0.24 Å. Right: Fraction of galaxies with (blue line) and without (red line) blue NGs that show EW(O VI 1031) greater than EWlim, for different EWlim, in the combined sample of LRGs and red COS-Halos galaxies. One notes that for all EWlim between 0.05 and 0.4, the fraction of galaxies with EW(O VI 1031)>EWlim\,>\rm EW_{\lim} is higher for galaxies with blue NGs than for galaxies without blue NGs.

For comparison, for EW(H I 1215) and EW(Mg II 2796) we do not find similarly clear trends. For example, in our sample of 15 LRGs, the number of LRGs with and without blue NGs that show H I 1215 are comparable, and are 6 of 7 (86%) and 5 of 8 (63%), respectively. The same numbers for Mg II 2796 are also comparable, and are 4 of 7 (57%) and 3 of 8 (38%). In contrast, for O VI we obtain 71% and 13% . In the combined sample of LRGs and red COS-Halos, among 11 galaxies which show the strongest EW(H I 1215) (and EW(Mg II 2796)), 7 have blue NGs. If the EW(H I 1215) distribution is the same for galaxies with and without blue NGs, the probability that among 11 galaxies with the strongest EW 7 have blue NGs is 0.28, much higher than we obtained for O VI. However, despite the lack of statistically significant results, we note that the strongest two Mg II absorbers in our sample of 15 LRGs are found around LRGs with blue NGs, and that two of three LRGs with more than one red NGs and no blue NGs do not show any CGM lines detected. A larger sample (and spectroscopic redshifts) might show more statistically significant results if H I and Mg II are correlated with blue NGs.

8.3 The Role of the Overall NGs Population

Smailagić et al. (2018) found extreme C III absorption in the CGM around two LRGs. The authors found that the measured EW and velocity extent are in agreement with their predictions for the combined EW and the combined velocity extent for LRG and its NGs, if they are seeing a superposition of the CGM systems. In addition, the authors found that the two LRGs with extreme CGM are two out of three LRGs with the highest number of NGs inside 100 kpc.

We calculate the probability that the two LRGs with extreme CGM traced by strong C III absorption would be located in the two of three regions with the highest number of galaxies in our sample of 15 LRGs. We found that the probability is 0.029, indicating that more overdense regions might contain more metals or have higher Doppler parameter. However, we note that when we applied generalized Kendall’s Tau test (BHK method), we do not find a statistically significant correlation between the number of NGs inside 100 or 200 kpc, and EW(C III 977), EW(H I 1215), or EW(Mg II 2976).

We also note that the two LRGs with identified separate components at large δv\delta v (LRG_1059+4039 and LRG_0855+5615) are two of three LRGs with the highest number of NGs inside 100 kpc, and the probability for this is again 0.029, which is 12σ\sim 1-2\sigma, indicating that more overdense regions might show multiple separate components from their CGM, and that multiple galaxies might contribute to the observed CGM absorption, which supports the Smailagić et al. (2018) conclusion.

We also predicted EW(H I 1215), based on the combined EW from all NGs from Bordoloi et al. (2018), as Smailagić et al. (2018) did for two LRG-CGM systems. However, we do not find a clear correlation, and in some cases we obtain higher, and in other lower EW(H I 1215) than observed. For example, inside 200 kpc around the QSO-LRG with the highest EW(H I 1215), we find only one red NG, and the predicted EW(H I 1215) 1.1\sim 1.1 Å, which is few times smaller than the observed EW(H I 1215) 7.4\sim 7.4 Å. This indicates that LRG-CGM systems might have more complex origins.

9 Conclusions

In this work, we study the circumgalactic gas around 15 LRGs at redshift z0.5z\sim 0.5, and with impact parameters up to 400 kpc, 7 of which have already detected Mg II in their CGM (MgII-LRGs) and 8 without Mg II (Baseline LRGs). We obtained HST COS FUV spectra of background QSOs. The available spectral lines include transitions in H I, C III, C II, O VI, Si II, Si III, and other. This is the first study of H I and UV metal lines in a sample of LRGs with strong Mg II already detected (previous studies focused on a general population of LRGs, without previous knowledge about the detection of Mg II); and the first presentation of our full sample of the CGM around 15 LRGs. We found that the covering fraction of H I with EW(H I 1215)>0.3>0.3 Å is 0.5612+11\sim 0.56^{+11}_{-12} and that metals are commonly detected (three of eight Baseline LRG-CGM systems show a metal absorption line).

Our main results are summarized below:

1) While for L\sim L^{*} and <L<L^{*} galaxies, CGM H I 1215 absorption is generally stronger for more massive galaxies, cool CGM traced by H I 1215 is suppressed above stellar masses of 1011.5M\sim 10^{11.5}M_{\sun}.

2) CGM around MgII-LRGs and CGM around QSO host galaxies show similar EW(H I) absorptions at similar impact parameters, and we could not reject the null hypothesis that the distributions of the two samples are the same. This implies that the CGM of LRGs and QSO host galaxies might be evolutionary connected.

3) On average, LRG-CGM systems show weak O VI, if detected. However, some fraction of LRGs shows O VI 1031 higher than around red \sim L z0.2z\sim 0.2 galaxies. While EW(O VI) is <0.35<0.35 Å around all red COS-Halos galaxies, we find EW(O VI) greater than 0.35 Å around one Baseline LRG and three MgII-LRGs.

4) The O VI detected in the CGM around LRGs and other quenched galaxies might originate from groups containing both a LRG and a blue (star-forming) neighboring galaxy (NG). In the combined sample of our LRGs, literature LRGs, and red COS-Halos, CGMs around 11 galaxies show the strongest O VI, with EW(O VI 1031) greater than 0.24 Å, and in all of these cases there is a blue NG close to the QSO sightline. In contrast, among the galaxies with EW(O VI 1031) smaller than EW=lim0.24{}_{\rm lim}=0.24 Å, approximately half have a blue NG. If EW(O VI 1031) distribution is the same for galaxies with and without blue NGs, the probability that all of the 11 galaxies which show the strongest EW(O VI 1031) have blue NGs is 0.0020. The probability that at least one of these galaxies does not have a blue nearby NG would be 0.9980, or 3σ\sim 3\sigma. For all EWlim between 0.05 and 0.4, the fraction of galaxies with EW(O VI 1031)>EWlim\,>\rm EW_{\lim} is higher for galaxies with blue NGs than for galaxies without blue NGs.

5) The velocity extent of the CGM absorptions is within the estimated escape velocity of LRG halos, implying that the CGM gas is gravitationally bound to the halos. However, some of LRG-CGM systems have additional components with velocity similar to or larger than the escape velocity.

6) The NHIN_{HI} is anti-correlated with the impact parameter scaled to the virial radius, implying that the H I is associated with LRGs halos. The generalized Kendall’s Tau test gives correlation coefficient -0.41 with significance 2.8σ\sim 2.8\sigma.

7) Strong Mg II in LRG-CGM systems is associated with high NHIN_{HI}.

Acknowledgments
Support for program GO-14171 was provided by NASA through a grant from the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS 5-26555. We would like to thank Brice Ménard and Sanchayeeta Borthakur for contribution to this project and Gábor Worseck for assisting with data reduction. We would also like to thank Jessica Werk, Kirill Tchernyshyov, Matthew Wilde, Nicolas Tejos, Tobias Westmeier and Glenn Kacprzak for helpful discussion. , CALCOS (2.21; The CALCOS development team, 2014), COS-REDUX (Smailagić & Prochaska, 2021), Kcorrect (4.3; Blanton et al., 2003), Linetools (Prochaska et al., 2017), Matplotlib (Hunter, 2007), Numpy (Oliphant, 2006), Pyasurvpart (Smailagić, 2021), Pyigm (Prochaska et al., 2017), Scipy (Virtanen et al., 2020), Statsmodels (Seabold et al., 2017)

Appendix A Customized Data Reduction

We reduced the data by using CALCOS v2.21 and our own custom Python codes COS_REDUX. Below we describe our customized data reduction in more details. We use the same notation as it was used in the COS Data Handbook (https://hst-docs.stsci.edu/cosdhb).

Based on Worseck et al. (2016) and our private communication with Gábor Worseck, our custom Python code combined with CALCOS performs a customized data reduction, which includes customized dark subtraction and co-addition of sub-exposures. CALCOS v3.1. uses a new TWOZONE extraction algorithm for data taken at Lifetime Position 3, while CALCOS v2.21 used a boxcar extraction. The previously used boxcar algorithm rejects every wavelength bin that contains a bad pixel in the extraction region. The TWOZONE algorithm divides the extraction region into an inner and an outer zone and rejects a wavelength bin only if a bad pixel is located in the inner zone. The boundaries of these two zones are defined such that each includes a fraction of the total flux, and are wavelength dependent. However, since the TWOZONE extraction is difficult to apply to dark frames, we chose, as did Worseck et al. (2016), to use CALCOS v2.21. We applied our data reduction steps separately to segments A and B.

As a part of our customized data reduction, we found object trace and defined a rectangular extraction region in the combined corrtag file for a given segment. We did not apply flat fielding. We restricted pulse height amplitudes (PHA) to the range of [2,11].

We found darks taken within 90 days around the date of our science observations, with the detector voltages (HVLEVELA and HVLEVELB) the same as in the science corrtag files, and defined background regions in corrtag files and in darks. Next, for each dark, we performed Kolmogorov-Smirnov (KS) test on the cumulative PHA histograms for the science and the dark frame, and selected all darks with the KS test probability PK_S >> 0.1. When the number of the selected darks was too low (<4<4), we lowered the criterion. Finally, we coadded all of the selected darks, and made a histogram with 1638516385 bins of the shifted XFULL (shifts are defined in the science file header as SHIFT1A or SHIFT1B), for the pixels where YFULL is inside the aperture of the extraction region, with good data quality (DQ=0\rm DQ=0), and with PHA between the minimum and the maximum selected value for the science frames. The final dark spectrum was obtained by scaling the obtained spectrum to the number of points in the background regions of the science frame, and smoothing by 500 pixels.

We coadded x1d sub-exposures, and binned them by 2 pixels. First, we selected pixels where DQ=0\rm DQ=0, flux is greater than 0, and wavelength is less than 2100 Å. For these pixels, we found WAVELENGTH and CALIB, where CALIB=NET/FLUX\rm CALIB=NET/FLUX, and NET and FLUX are the net count rate and the (default calculated and not precise) CALCOS pipeline flux. Then, we concatenated the data for all sub-exposures, and sorted them. Next, we interpolated CALIB over the wavelength. We defined total counts (TOTALCOUNTS), as the sum of counts from the sub-exposures, multiplied by DQ_WGT. Here, DQ_WGT are data quality weights, that are equal 0 or 1. We defined TOTALDARK in a similar way. Finally, we calculated flux as

FLUX=TOTALCOUNTSTOTALDARKCALIB×TOTALTIME,\rm FLUX=\frac{TOTALCOUNTS-TOTALDARK}{CALIB\times TOTALTIME}, (A1)

where TOTALTIME is the sum of DQ_WGT ×\times EXPTIME over all subexposures. We also provided a simple estimate of the error in the flux as

ERROR=TOTALCOUNTS1/2CALIB×TOTALTIME.\rm ERROR=\frac{TOTALCOUNTS^{1/2}}{CALIB\times TOTALTIME}. (A2)

Finally, we coadded FUVA and FUVB spectra. We note that for one of the LRGs (see Table 2) there are two visits. However, since one of these visits has much better S/NS/N than the other, the combined spectrum would marginally improve the S/NS/N, and we decided to use only the visit with the better S/NS/N.

Appendix B Further analysis for less reliable lines

In 8 LRG-CGM systems, we find an absorption line at wavelength that corresponds to O VI 1031 at the LRG-CGM’s redshift. However, such lines could also be interloping lines from another redshift, and not associated with LRGs. In addition, previous studies found that O VI is not commonly detected around red galaxies. In most cases when a potential O VI 1031 is detected, O VI 1037 is not detected at a significance level higher than 3σ3\sigma.

To confirm if we detect O VI, we calculate the apparent column density (Na(v)N_{a}(v)) multiplied by the velocity interval as in Savage & Sembach (1991): Na(v)=τ(v)dv2.654×1015fλN_{a}(v)=\frac{\tau(v)dv}{2.654\times 10^{15}f\lambda}, where λ\lambda is rest-frame wavelength in angstroms, ff is oscillator strength, and vv is velocity. Next, we compare Na(v)N_{a}(v) profiles between O VI 1031 and O VI 1037, and if the profiles are consistent within their 1 σ\sigma error, we consider the line as a detection, otherwise we place upper limits. The results are shown on Figure 14.

We consider that we detect O VI in LRG-CGM systems in all cases, except LRG_1217+4931 and LRG_1102+4543. In the first case, near the O VI 1031 line center (peak in the blue line), in two pixels the flux in O VI 1037 is lower by more than 1σ\sigma than the lower limit in the O VI 1031 flux. In the second case, we find the same, but for one pixel only. In LRG_1059+4039, LRG_1121+4345, and LRG_0855+5615, line profiles for the two O VI transitions show a similar shape, and are in agreement within 1σ\sigma errors. For LRG_0855+5615, we also compare Na(v)N_{a}(v) profiles of O VI 1031 and H I 972. For LRG_1351+2253, the blue side of O VI 1037 is blended, but the red sides of the two transitions have similar profile and agree within 1σ\sigma errors. For LRG_1144+0714 and LRG_1440-0157, we find that fluxes from the two O VI transitions are in agreement in each pixel (see also stack plots in Appendix D).

We apply the same method to H I 1215 and H I 1025 transitions in the CGM of LRG_1237+1106, because only H I 1215 was detected at a significance level greater than 3σ3\sigma. We show the results on Figure 15, and conclude that we detect H I in the CGM of LRG_1237+1106.

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Figure 14: Apparent column density profiles for a few LRGs with possible O VI 1031 detection. Blue and orange line represent O VI 1031 and O VI 1037 apparent column densities multiplied by the length of the velocity intervals corresponding to the velocity bins. Red and green vertical line correspond to the LRG’s redshift and Mg II LRG-CGM system’s redshift, respectively. LRG name is shown in the upper right corner.
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Figure 15: The same as Figure 14, but for confirmation of H I in LRG_1237+1106, and for a comparison between O VI 1031 and H I 972 in LRG_0855+5615.

Appendix C Neighboring galaxies around LRG sightlines

In Tables 8 and 7, we list properties of neighboring galaxies (NGs, see section 8.1) inside 200 kpc from the QSO sightline for our LRGs sample.

{rotatetable*}
Table 7: Properties of neighboring galaxies (NGs) around LRG-QSO sightlinesa

LRG RLRGR_{\rm LRG} zLRGz_{\rm LRG} RgalR_{\rm gal} zphot,galz_{\rm phot,\,gal} uru-r rr CgiC_{gi} rr-mag gg-mag ii-mag R/B (kpc) (kpc) J1059+4039 29 0.449 94 0.460±0.1080.460\pm 0.108 3.2 21.69 0.6±1.1-0.6\pm 1.1 21.30±0.10-21.30\pm 0.10 20.05±1.10-20.05\pm 1.10 21.75±0.05-21.75\pm 0.05 R J1059+4039 29 0.449 117 0.498±0.0830.498\pm 0.083 0.5 21.13 1.0±0.31.0\pm 0.3 21.10±0.02-21.10\pm 0.02 20.38±0.18-20.38\pm 0.18 20.43±0.21-20.43\pm 0.21 B J1059+4039 29 0.449 137 0.395±0.0970.395\pm 0.097 1.9 22.42 0.4±7.0-0.4\pm 7.0 19.70±0.28-19.70\pm 0.28 18.44±6.99-18.44\pm 6.99 19.87±0.30-19.87\pm 0.30 R J1059+4039c 29 0.449 198 0.436±0.0170.436\pm 0.017 3.7 19.59 0.1±0.0-0.1\pm 0.0 23.18±0.00-23.18\pm 0.00 22.32±0.05-22.32\pm 0.05 23.63±0.00-23.63\pm 0.00 Rb J1351+2753 99 0.432 88 0.364±0.0730.364\pm 0.073 1.5 21.02 1.4±0.31.4\pm 0.3 20.61±0.02-20.61\pm 0.02 20.31±0.04-20.31\pm 0.04 19.88±0.25-19.88\pm 0.25 B J1351+2753 99 0.432 161 0.351±0.1500.351\pm 0.150 2.0 21.44 0.4±0.10.4\pm 0.1 20.66±0.03-20.66\pm 0.03 20.23±0.04-20.23\pm 0.04 20.95±0.04-20.95\pm 0.04 B J1520+2534 225 0.538 157 0.430±0.1530.430\pm 0.153 3.1 21.90 2.5±389.4-2.5\pm 389.4 22.02±0.10-22.02\pm 0.10 18.25±389.40-18.25\pm 389.40 21.86±0.21-21.86\pm 0.21 R J1106-0115 383 0.611 146 0.552±0.1430.552\pm 0.143 1.1 21.89 0.3±0.80.3\pm 0.8 21.35±0.18-21.35\pm 0.18 20.48±0.75-20.48\pm 0.75 21.26±0.14-21.26\pm 0.14 R J1440-0157 343 0.480 31 0.434±0.0700.434\pm 0.070 2.7 21.18 1.2±5579.6-1.2\pm 5579.6 22.32±31.74-22.32\pm 31.74 20.34±5579.61-20.34\pm 5579.61 22.71±15.81-22.71\pm 15.81 R J1440-0157 343 0.480 77 0.451±0.1080.451\pm 0.108 1.4 21.19 0.4±0.00.4\pm 0.0 21.22±0.02-21.22\pm 0.02 20.87±0.03-20.87\pm 0.03 21.55±0.02-21.55\pm 0.02 B J1440-0157 343 0.480 87 0.428±0.0870.428\pm 0.087 1.0 21.96 1.0±0.21.0\pm 0.2 19.77±0.09-19.77\pm 0.09 19.82±0.08-19.82\pm 0.08 19.80±0.14-19.80\pm 0.14 B J1440-0157 343 0.480 154 0.432±0.1090.432\pm 0.109 -0.1 22.08 1.2±0.81.2\pm 0.8 19.34±0.33-19.34\pm 0.33 19.25±0.26-19.25\pm 0.26 18.99±0.72-18.99\pm 0.72 R J1237+1106 23 0.473 165 0.523±0.0880.523\pm 0.088 0.0 21.21 0.1±0.3-0.1\pm 0.3 21.25±0.05-21.25\pm 0.05 20.30±0.25-20.30\pm 0.25 21.52±0.04-21.52\pm 0.04 R J1121+4345 80 0.422 125 0.394±0.0650.394\pm 0.065 2.4 21.18 0.2±0.1-0.2\pm 0.1 21.29±0.02-21.29\pm 0.02 20.41±0.11-20.41\pm 0.11 21.75±0.01-21.75\pm 0.01 R J1121+4345 80 0.422 162 0.457±0.1130.457\pm 0.113 1.8 21.09 0.3±0.00.3\pm 0.0 21.16±0.03-21.16\pm 0.03 20.78±0.04-20.78\pm 0.04 21.60±0.03-21.60\pm 0.03 B J1549+0701 120 0.500 61 0.562±0.1540.562\pm 0.154 -0.2 21.99 0.2±0.40.2\pm 0.4 20.11±0.26-20.11\pm 0.26 19.61±0.23-19.61\pm 0.23 20.41±0.27-20.41\pm 0.27 R J1549+0701 120 0.500 151 0.519±0.0420.519\pm 0.042 3.2 21.78 2.2±19.4-2.2\pm 19.4 21.86±0.08-21.86\pm 0.08 19.14±19.42-19.14\pm 19.42 22.48±0.02-22.48\pm 0.02 R J1549+0701d 120 0.500 178 0.591±0.1200.591\pm 0.120 2.5 22.63 0.3±2.5-0.3\pm 2.5 21.00±0.70-21.00\pm 0.70 19.92±2.45-19.92\pm 2.45 21.35±0.58-21.35\pm 0.58 R

  • a

    First three columns contain name of the LRG-CGM system, LRG impact parameter, LRG redshift. Other columns contain information

    about NGs: impact parameter between the galaxy and the QSO (RgalR_{\rm gal}); photometric redshift and its error (zphot,galz_{\rm phot,\,gal}; note that these errors

    are likely underestimated); uru-r color; apparent rr magnitude (rr); CgiC_{gi} color (see section 8); absolute rr, gg, ii magnitudes (k-corrected);

    and indicator if NG is red or blue (R/B). All colors are derived from k-corrected absolute magnitudes. We note that errors in colors

    are in some cases very big.

  • b

    This galaxy has spectroscopic redshift measured by SDSS, z0.450z\sim 0.450, and is actually another LRG.

  • c

    J1059+4039 has one more NG, that was identified in Pan-STARRS and does not have SDSS data. This NG is not

    included in this table.

  • d

    There is also one another galaxy close to LRG_1549+0701, which is also a LRG. This galaxy has spectroscopic redshift z0.509z\sim 0.509, and

    impact parameter 125 kpc. Its photometric redshift is not consistent with the targeted LRG.

{rotatetable*}
Table 8: Properties of neighboring galaxies around LRG-QSO sightlines - continuation

LRG RLRGR_{\rm LRG} zLRGz_{\rm LRG} RgalR_{\rm gal} zphot,galz_{\rm phot,\,gal} uru-r rr CgiC_{gi} rr-mag gg-mag ii-mag R/B (kpc) (kpc) J1306+3421 184 0.469 181 0.366±0.1400.366\pm 0.140 2.7 22.12 5.0±19453.0-5.0\pm 19453.0 20.78±0.12-20.78\pm 0.12 14.85±19452.98-14.85\pm 19452.98 20.91±0.14-20.91\pm 0.14 R J1306+3421 184 0.469 199 0.460±0.0300.460\pm 0.030 1.9 21.01 0.2±0.9-0.2\pm 0.9 21.69±0.02-21.69\pm 0.02 20.50±0.88-20.50\pm 0.88 21.85±0.04-21.85\pm 0.04 R J1217+4931 208 0.523 134 0.570±0.0520.570\pm 0.052 1.3 22.80 0.9±2.1-0.9\pm 2.1 20.92±0.48-20.92\pm 0.48 19.26±2.07-19.26\pm 2.07 21.27±0.41-21.27\pm 0.41 R J1217+4931 208 0.523 180 0.508±0.0800.508\pm 0.080 1.1 22.59 0.5±2.9-0.5\pm 2.9 21.37±0.12-21.37\pm 0.12 19.78±2.81-19.78\pm 2.81 21.42±0.50-21.42\pm 0.50 R J1217+4931 208 0.523 189 0.445±0.1330.445\pm 0.133 1.8 22.57 0.1±0.5-0.1\pm 0.5 20.42±0.16-20.42\pm 0.16 19.86±0.45-19.86\pm 0.45 21.07±0.17-21.07\pm 0.17 R J1102+4543 193 0.487 94 0.565±0.1140.565\pm 0.114 0.7 22.17 0.9±inf0.9\pm inf 19.55±0.14-19.55\pm 0.14 19.40±inf-19.40\pm inf 19.52±0.41-19.52\pm 0.41 R J1102+4543 193 0.487 109 0.438±0.0940.438\pm 0.094 0.5 20.59 0.8±0.20.8\pm 0.2 21.66±0.03-21.66\pm 0.03 20.99±0.15-20.99\pm 0.15 21.26±0.12-21.26\pm 0.12 B J1102+4543 193 0.487 142 0.444±0.1600.444\pm 0.160 0.2 22.43 0.4±0.4-0.4\pm 0.4 18.51±22.37-18.51\pm 22.37 19.94±0.36-19.94\pm 0.36 21.44±0.13-21.44\pm 0.13 R J1102+4543 193 0.487 172 0.497±0.0410.497\pm 0.041 2.9 21.51 0.7±1.2-0.7\pm 1.2 22.09±0.06-22.09\pm 0.06 20.79±1.24-20.79\pm 1.24 22.67±0.02-22.67\pm 0.02 R J1251+3025 281 0.513 73 0.554±0.1440.554\pm 0.144 1.5 22.27 0.7±0.10.7\pm 0.1 19.95±0.05-19.95\pm 0.05 19.93±0.05-19.93\pm 0.05 20.31±0.05-20.31\pm 0.05 B J1251+3025 281 0.513 145 0.648±0.1530.648\pm 0.153 1.2 22.27 0.5±1.20.5\pm 1.2 20.23±0.08-20.23\pm 0.08 19.66±1.20-19.66\pm 1.20 20.15±0.11-20.15\pm 0.11 R J0226+0014 357 0.473 102 0.461±0.1540.461\pm 0.154 1.8 22.12 0.1±0.2-0.1\pm 0.2 21.27±0.14-21.27\pm 0.14 20.58±0.16-20.58\pm 0.16 21.82±0.08-21.82\pm 0.08 Re J0855+5615 315 0.440 70 0.507±0.0740.507\pm 0.074 0.2 21.35 0.4±0.40.4\pm 0.4 20.68±0.05-20.68\pm 0.05 20.00±0.13-20.00\pm 0.13 20.62±0.43-20.62\pm 0.43 R J0855+5615 315 0.440 76 0.424±0.0660.424\pm 0.066 2.0 20.53 0.1±0.40.1\pm 0.4 22.02±0.17-22.02\pm 0.17 21.31±0.44-21.31\pm 0.44 22.39±0.03-22.39\pm 0.03 R J0855+5615 315 0.440 84 0.526±0.1110.526\pm 0.111 1.3 21.83 3.4±365.6-3.4\pm 365.6 20.79±0.10-20.79\pm 0.10 16.76±365.63-16.76\pm 365.63 21.23±0.05-21.23\pm 0.05 R J0855+5615 315 0.440 84 0.411±0.1040.411\pm 0.104 1.9 21.20 1.6±0.71.6\pm 0.7 20.50±0.12-20.50\pm 0.12 20.67±0.18-20.67\pm 0.18 20.10±0.70-20.10\pm 0.70 B J0855+5615 315 0.440 160 0.446±0.1310.446\pm 0.131 1.7 20.42 0.4±0.00.4\pm 0.0 21.81±0.01-21.81\pm 0.01 21.35±0.03-21.35\pm 0.03 22.13±0.01-22.13\pm 0.01 B J0855+5615 315 0.440 199 0.376±0.1280.376\pm 0.128 0.2 20.85 5.4±19790.8-5.4\pm 19790.8 21.42±0.09-21.42\pm 0.09 14.99±19790.77-14.99\pm 19790.77 21.51±0.08-21.51\pm 0.08 R

  • e

    Absolute rr-magnitudes of two NGs around J1251+3025 and of the NG around J0226+0014 significantly differ,

    although all three NGs have similar apparent rr-magnitudes. This is because of significantly different k-corrections

    of these sources, which are -0.13, 0.15 and 1.25, respectively. Larger k-corrections correspond to older stellar

    populations. Here, the source with the lowest k-correction is a blue NG while two other sources are red NGs,

    as expected.

Appendix D Notes about individual absorbers

Figures 16 - 21 present absorption lines detected in the CGM around MgII-LRGs. These lines include H I transitions and metal lines, such as C III, Si III, Si II, C II, O VI transitions. Figures 22 and 23 present absorption lines in the CGM around Baseline LRGs. Baseline LRGs also show H I line transitions and some of the metal lines. In contrast to MgII-LRGs, around Baseline LRGs we do not detect low-ionization lines such as C II and Si II.

Refer to caption
Figure 16: The same as Figure 3, but for LRG_1144+0714. Line profiles, shown as continuum normalized flux vs. velocity in the LRG rest frame. Transitions are labeled in the lower right corner, and rest-frame EWs are shown in the lower left corner. The analyzed velocity ranges are marked in blue color for reliable transitions, and in red color for blended or uncertain detections. Velocity ranges of additional components are marked in cyan, and analyzed velocity ranges for some of non detections are labeled in magenta. Red dot-dashed and green dashed vertical lines denote LRG redshift and velocity offset of the corresponding LRG-CGM system (for MgII-LRGs determined from the central velocity of Mg II absorption), respectively. The blue dotted line shows the flux uncertainty. Interloping transitions are marked with red and gray vertical dotted lines, if they originate from the CGM around the LRG, or from absorption systems found at other redshifts, respectively. We consider that transitions within 1200 km s-1 of the LRG redshift are associated with the CGM around the LRG. Name and redshift of these interloping transitions are labeled alongside of the vertical lines.
Refer to caption
Figure 17: The same as Figure 16, but for LRG_1351+2753.
Refer to caption
Figure 18: The same as Figure 16, but for LRG_1520+2534.
Refer to caption
Figure 19: The same as Figure 16, but for LRG_1106-0115.
Refer to caption
Figure 20: The same as Figure 16, but for LRG_1440-0157.
Refer to caption
Figure 21: The same as Figure 16, but for LRG_1121+4345.
Refer to caption
Refer to caption
Refer to caption
Figure 22: The same as Figure 16, but for Baseline LRGs with two or more H I transitions significantly detected.
Refer to caption
Refer to caption
Refer to caption
Refer to caption
Refer to caption
Figure 23: The same as Figure 16, but for Baseline LRGs without or with only one absorption line (which is H I 1215).

D.1 MgII-LRGs

LRG_1059+4039: QSO sightline is located at 29 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (strong H I with EW(H I 1215) 5.63\sim 5.63 Å, and logNHI\log N_{HI} between 17.69 and 20.4); intermediate ions C III and Si III; O VI; low ions C II, Si II, N II, Mg II, and Ca II; and Mg I. We note that we measure EW(C III 977) in two ways, by including and by not including the central part of the line, since that part might be blended. Then, we found an average value between these two measurements. Because we do not know if the line is blended, the error in EW includes both cases, and is larger than it would be for the individual measurements. One additional component was found at 2500\sim 2500 km s-1, which shows H I and C III lines. Around the QSO sightline and close to the LRG’s redshift, a few other galaxies are located: one blue NG, one NG close to the QSO sightline, one another LRG, and two red NGs.

LRG_1144+0714: QSO sightline is located at 98 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (strong H I with EW(H I 1215) 2.06\sim 2.06 Å, and logNHI\log N_{HI} between 17.91 and 19.4); intermediate ions C III and Si III; O VI; and low ions C II, Si II, and Mg II. No any NGs are found around the QSO sightline.

LRG_1351+2753: QSO sightline is located at 99 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (strong H I with EW(H I 1215) 1.45\sim 1.45 Å, and logNHI17.37\log N_{HI}\sim 17.37); intermediate ions C III and Si III; O VI; and low ions C II and Mg II. We also find possible Fe III, but define it as an upper limit. Two blue NGs are found around the QSO sightline.

LRG_1520+2534: QSO sightline is located at 225 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (strong H I with EW(H I 1215) 7.41\sim 7.41 Å, and logNHI\log N_{HI} between 17.86 and 20.65); intermediate ions C III and Si III; and low ions Mg II and Fe II . One red NG is found around the QSO sightline.

LRG_1106-0115: QSO sightline is located at 383 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions strong H I with EW(H I 1215) 0.55\sim 0.55 Å, and logNHI17.26\log N_{HI}\sim 17.26 ); intermediate ions C III and Si III; low ions C II, Si II, and Mg II. One additional component was found at 600\sim 600 km s-1 (shows only H I). One red NG is found around the QSO sightline.

LRG_1440-0157: QSO sightline is located at 343 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (strong H I with EW(H I 1215) 1.7\sim 1.7 Å, and logNHI17.02\log N_{HI}\sim 17.02)); intermediate ions C III and Si III; O VI; and Mg II. We also detect possible O IV and Ne VIII. Two red and two blue NGs are found around the QSO sightline.

LRG_1121+4345: QSO sightline is located at 80 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (strong H I with EW(H I 1215) 1.72\sim 1.72 Å, and logNHI\log N_{HI} between 17.89 and 19.2); intermediate ions C III and Si III (Si III is blended with a strong H I 1025 from a higher redshift); O VI; and low ions C II, Si II, N II, and Mg II. We also possibly detect Fe II and Fe III. One blue and one red NG are found around the QSO sightline.

D.2 Baseline LRGs

LRG_1237+1106: QSO sightline is located at 23 kpc from the LRG. Only H I 1215 line is detected at a significance level >3σ>3\sigma. Since we detected only one line at wavelength that corresponds to the H I 1215 at the LRG redshift, we compared apparent column density profiles for H I 1215 and H I 1025, and concluded that the absorption line is likely H I 1215 at the LRG redshift. One red NG is found around the QSO sightline.

LRG_1549+0701: QSO sightline is located at 120 kpc from the LRG. No any CGM lines are detected. Three red NGs are found around the QSO sightline.

LRG_1306+3421: QSO sightline is located at 184 kpc from the LRG. No any CGM lines are detected. Two red NGs are found around the QSO sightline.

LRG_1217+4931: QSO sightline is located at 208 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (relatively strong H I 1215 with EW 1.45\sim 1.45 Å, however for NHIN_{HI} we measure only an upper limit), and intermediate ion C III. We found an absorption line close to the wavelenght that corresponds to the O VI 1031 at the LRG’s redshift, but concluded that the line is likely an interloping line from another redshift or blended. Three red NGs are found around the QSO sightline.

LRG_1102+4543: QSO sightline is located at 193 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (relatively strong H I 1215 with EW 2.52\sim 2.52 Å, however for NHIN_{HI} we measure only an upper limit), and intermediate ions C III and Si III. We found a line close to the wavelenght that corresponds to O VI 1031 at the LRG’s redshift, but concluded that the line is likely an interloping line from another redshift or blended. We also found that there is a possible Ne VIII 770, however we were not able to confirm this detection, so we define it as an upper limit. One blue and three red NGs are found around the QSO sightline.

LRG_1251+3025: QSO sightline is located at 281 kpc from the LRG. No any CGM lines are detected. One blue and one red NG are found around the QSO sightline.

LRG_0226+0014: QSO sightline is located at 357 kpc from the LRG. No any CGM lines are detected. One red NG is found around the QSO sightline.

LRG_0855+5615: QSO sightline is located at 315 kpc from the LRG. Absorption lines from the LRG-CGM system include: H I transitions (relatively strong H I 1215 with EW 1.32\sim 1.32 Å, however for NHIN_{HI} we measure only an upper limit), O VI, and possibly weak N II and blended C III. We find one additional component (absorption system) at 1000\sim 1000 km s-1, that shows H I and O VI absorption. Four red and two blue NGs are found around the QSO sightline.

Appendix E Additional components associated with LRGs

In section 5.4, we found additional absorption line components around two LRGs, with velocities similar or larger than the corresponding escape velocity of the LRGs’ host halos. We discussed if the additional components originate from the same halos as the target LRGs. Here we provide more details.

We calculate the probability to detect a random Ly α\alpha absorption with EW as in these two additional components or higher. Danforth et al. (2016) analyzed 85 spectra of active galactic nuclei at z<0.85z<0.85, which included 2611 different absorption systems at redshifts up to 0.75. From these data, the authors derived H I column density distribution per redshift path, and parametrized it as a power law. We access Danforth et al. (2016) data at http://vizier.cfa.harvard.edu/viz-bin/VizieR?-source=J/ApJ/817/111, derive EW(H I 1215) distribution, and fit this distribution with a power law. We obtain log(N(>EW(HI1215))/dz)=aEW(HI1215)+b\log(N(>EW(HI1215))/dz)=aEW(HI1215)+b, where a=0.0029a=-0.0029 and b=2.129b=2.129. We found that the probabilities to detect a random Lyman-alpha absorption with the EW as in the two additional components or higher, in the minimum velocity range that encompasses the additional components and is symmetric around the LRG redshift, are 0.072 and 0.00047. When taking into account that the additional components were found in one of seven MgII-LRGs and in one of eight Baseline LRGs, these probabilities are 0.58 and 0.0033. We note that the redshift of our LRGs (0.45\sim 0.45) is somewhat higher than in Danforth et al. (2016) sample (0.16\sim 0.16), but if we assume same redshift dependence as Shull et al. (2017) found, our results do not change significantly. For LRG_0855+5615, we could not conclude if the additional component is associated with LRG halo. For LRG_1059+4039, we conclude that the additional component likely originates from the same halo as the LRG, with significance 3σ\sim 3\sigma.

Appendix F LRG LYMAN-LIMIT DECREMENTS IN OUR QSO SPECTRA

Figures 24 - 38 show the LL decrement in our QSO spectra.

Refer to caption
Figure 24: The LL decrement in the J1059+4039 spectrum. The black line is flux, the red dotted line is the 1σ1\sigma error in the flux, and the vertical green dashed line is the expected location of the LL. The measured H I column density NHIN_{HI} is shown in the upper left corner.
Refer to caption
Figure 25: The same as Figure 5, but for J1144+0714.
Refer to caption
Figure 26: The same as Figure 5, but for J1351+2753.
Refer to caption
Figure 27: The same as Figure 5, but for J1520+2534.
Refer to caption
Figure 28: The same as Figure 5, but for J1106-0115.
Refer to caption
Figure 29: The same as Figure 5, but for J1440-0157.
Refer to caption
Figure 30: The same as Figure 5, but for J1237+1106.
Refer to caption
Figure 31: The same as Figure 5, but for J1121+4345.
Refer to caption
Figure 32: The same as Figure 5, but for J1549+0701.
Refer to caption
Figure 33: The same as Figure 5, but for J1306+3421.
Refer to caption
Figure 34: The same as Figure 5, but for J1217+4931.
Refer to caption
Figure 35: The same as Figure 5, but for J1102+4543.
Refer to caption
Figure 36: The same as Figure 5, but for J1251+3025.
Refer to caption
Figure 37: The same as Figure 5, but for J0226+0014.
Refer to caption
Figure 38: The same as Figure 5, but for J0855+5615.

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