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			<titleStmt><title level='a'>The QuaStar Survey: Detecting Hidden Low-velocity Gas in the Milky Way’s Circumgalactic Medium</title></titleStmt>
			<publicationStmt>
				<publisher></publisher>
				<date>04/29/2021</date>
			</publicationStmt>
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				<bibl> 
					<idno type="par_id">10287957</idno>
					<idno type="doi">10.3847/1538-4357/abeb6b</idno>
					<title level='j'>The Astrophysical Journal</title>
<idno>0004-637X</idno>
<biblScope unit="volume">912</biblScope>
<biblScope unit="issue">1</biblScope>					

					<author>Hannah V. Bish</author><author>Jessica K. Werk</author><author>Joshua Peek</author><author>Yong Zheng</author><author>Mary Putman</author>
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			<abstract><ab><![CDATA[From our position embedded within the Milky Way's interstellar medium (ISM), we have limited ability to detect gas at low relative velocities in the extended Galactic halo because those spectral lines are blended with much stronger signals from dense foreground gas. As a result, the content of the Milky Way's circumgalactic medium (CGM) is poorly constrained at |v LSR | . 150 km s 1 . To overcome this complication, the QuaStar Survey applies a spectral di↵erencing technique using paired quasar-star sightlines to measure the obscured content of the Milky Way's CGM for the first time. We present measurements of the C iv doublet ( 1548, 1550 Å), a rest-frame UV metal line transition detected in HST/COS spectra of 30 halo-star/quasar pairs evenly distributed across the sky at Galactic latitudes |b| > 30 . The 30 halo stars have well-constrained distances (d⇡5-14 kpc), and are paired with quasars separated by < 2.8 . We argue that the di↵erence in absorption between the quasar and stellar sightlines originates primarily in the Milky Way's extended CGM beyond ⇠10 kpc. For the Milky Way's extended, low-velocity CGM (|v| <150 km/s), we place an upper limit on the mean C iv column density of logN LVCGM < 13.39 and find a covering fraction of f CIV,LVCGM (logN > 13.65) = 20% [6/30], a value significantly lower than the covering fraction for star-forming galaxies at low redshift. Our results suggest either that the bulk of Milky Way's C iv -traced CGM lies at low Galactic latitudes, or that the Milky Way's CGM is lacking in warm, ionized material compared to low-redshift (z < 0.1) star-forming galaxy halos.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">INTRODUCTION</head><p>Over the past decade, groundbreaking work with the Cosmic Origins Spectrograph (COS) on the Hubble Space Telescope (HST) has shown that the circumgalactic medium (CGM) around Milky Way-like galaxies is the hiding place of most galactic baryons and metals and an important source of fuel for star formation <ref type="bibr">(Werk et al. 2014;</ref><ref type="bibr">Peeples et al. 2014;</ref><ref type="bibr">Tumlinson et al. 2017)</ref>. This tenuous, predominantly ionized halo gas is notoriously di cult to detect in emission because of its low density, so it is most commonly measured in absorption along quasar sightlines that pierce nearby galaxy halos (e.g. <ref type="bibr">Bahcall &amp; Spitzer 1969;</ref><ref type="bibr">Bergeron &amp; Stasi&#324;ska 1986;</ref><ref type="bibr">Lanzetta et al. 1995;</ref><ref type="bibr">Prochaska et al. 2011;</ref><ref type="bibr">Werk et al. 2013</ref>). Extragalactic absorption-line studies are useful for investigating average global properties of the CGM, but the limited availability of quasar sightlines means that we can rarely make more than one or two measurements within a single galaxy halo outside the Local Group. The Milky Way, with hundreds of sightlines that pierce its halo, provides a unique opportunity to characterize the structure and kinematics of our own CGM better than that of any other galaxy in the universe.</p><p>Observations of CGM gas reveal a complex structure and distribution that can be explained by various physical models. On the largest scales, the CGM may be distributed spherically with a steeply declining density profile (e.g. <ref type="bibr">Liang &amp; Chen 2014;</ref><ref type="bibr">Werk et al. 2014)</ref>; it may form a thick, rotating, toroidal structure (e.g. <ref type="bibr">Stewart et al. 2011;</ref><ref type="bibr">Bregman et al. 2018)</ref>; or it may be composed of large shocked sheets of material flowing through the halo <ref type="bibr">(McQuinn &amp; Werk 2018)</ref>. The northern and southern Galactic skies are quite di&#8629;erent in their known CGM components, which may indicate an overall asymmetry <ref type="bibr">(Putman et al. 2012;</ref><ref type="bibr">Bordoloi et al. 2017</ref>). Additionally, smaller-scale structures, such as clouds and thin filaments, are known to populate the CGM (e.g. <ref type="bibr">Ben Bekhti et al. 2009;</ref><ref type="bibr">Saul et al. 2012;</ref><ref type="bibr">Stocke et al. 2013;</ref><ref type="bibr">McCourt et al. 2015;</ref><ref type="bibr">Stern et al. 2016;</ref><ref type="bibr">Bish et al. 2019)</ref>.</p><p>While our own Galaxy was the first in which we detected extraplanar material <ref type="bibr">(Muller et al. 1963)</ref>, we have yet to make a definitive measurement of the column density of the Milky Way's CGM because global measurements of Galactic halo properties are confounded by our location within the Milky Way's disk. Any attempt to isolate signals from the Milky Way's CGM will be hampered by blended foreground absorption from the interstellar medium (ISM) in which we are embedded (see <ref type="bibr">Zheng et al. 2015)</ref>. In particular, Galactic foreground gas in the disk obscures halo gas with similar relative velocities.</p><p>In order to avoid foreground contamination from the low-velocity material in the disk, Milky Way CGM studies typically target high-velocity gas (|v| &amp; 100 km/s) and do not constrain lower-velocity material beyond the inner &#8672;10 kpc of the halo. Ionized high-velocity clouds are ubiquitous, covering 65%-90% of the sky at typical distances of 5-15 kpc <ref type="bibr">(Fox et al. 2006;</ref><ref type="bibr">Collins et al. 2009;</ref><ref type="bibr">Shull et al. 2009;</ref><ref type="bibr">Lehner et al. 2012;</ref><ref type="bibr">Richter et al. 2017)</ref>. But despite their abundance, observations indicate that high-and intermediate-velocity clouds likely make up a small fraction of the Milky Way's total halo mass <ref type="bibr">(Putman et al. 2012</ref>) and point to the possibility that considerable material is hidden at lower velocities in the extended Galactic CGM.</p><p>In other low-redshift galaxies, the average velocity of galactic CGM absorption generally centers around 0 km/s relative to the host galaxy's systemic velocity (e.g. <ref type="bibr">Tumlinson et al. 2013;</ref><ref type="bibr">Werk et al. 2016)</ref>. Metal-enriched gas is detected in external L &#8676; galaxies moving at low relative velocities out to their virial radii (e.g., <ref type="bibr">Liang &amp; Chen 2014;</ref><ref type="bibr">Werk et al. 2014;</ref><ref type="bibr">Lehner et al. 2015;</ref><ref type="bibr">Burchett et al. 2016</ref>). In the COS-Halos survey of low-redshift galaxy halos, &#8672; 90% of the total CGM column density within &#177;600 km/s of the galaxy systemic velocity was found at |v| &lt; 100 km/s <ref type="bibr">(Tumlinson et al. 2013;</ref><ref type="bibr">Werk et al. 2014)</ref>. Kinematic analysis of warm gas signatures in the quasar absorption-line survey COS-GAL also shows that a substantial portion of the CGM is likely hidden at |v| &lt; 100 km/s <ref type="bibr">(Zheng et al. 2019</ref>). In the recent CGM 2 survey, the majority of the Hi column density detected in absorption around z &lt; 0.48 galaxies lies within &#177;250 km s 1 of the galaxy systemic velocity, despite a velocity window of 1000 km s 1 <ref type="bibr">(Wilde et al. 2021)</ref>. Additionally, <ref type="bibr">Martin et al. (2019)</ref> find that the velocity of low-ionization gas around nearby galaxies is tied to the rotation of the disk out to radii of &#8672;70 kpc. If the Milky Way is similar to other star-forming galaxies at low redshift, these observations further reinforce the evidence suggesting that a significant fraction of Galactic baryons are yet to be detected in the low-velocity Galactic CGM.</p><p>Simulations of Milky Way analogs also broadly agree that a significant fraction of circumgalactic baryons are moving at low velocities. The FOGGIE simulations, which focus on resolving the CGM around galaxies with extreme spatial and mass resolution, show with mock observations that the strongest absorption is confined to within 200 km/s of the systemic velocity <ref type="bibr">(Peeples et al. 2019;</ref><ref type="bibr">Zheng et al. 2020)</ref>. Other synthetic observations of a Milky Way-mass galaxy generated from the highresolution cosmological simulation Enzo also predict that &#8672; 65% of the Milky Way's CGM mass at Galactic latitudes |b| &gt; 20 is hidden at low to intermediate velocities (|v| &lt; 100 km/s) for all gas phases and that the warmhot component (10 5 K &lt; T &lt; 10 6 K) is primarily moving at |v| &lt; 150 km/s <ref type="bibr">(Zheng et al. 2015;</ref><ref type="bibr">Joung et al. 2012)</ref>.</p><p>The C iv doublet is a useful probe of warm ionized gas in galaxy halos because of its strong oscillator strength <ref type="bibr">(Savage &amp; Wakker 2009</ref>) and high covering fraction in the CGM of external galaxies <ref type="bibr">(Keeney et al. 2013;</ref><ref type="bibr">Liang &amp; Chen 2014)</ref>. In low-redshift galaxies that span a wide range of stellar mass (9.5 &lt; log (M &#8676; /M ) &lt; 11), estimates of log N CIV [cm 2 ] range from 13.5 -14.5, with a covering fraction of &#8672;50% out to half the virial radius for logN CIV &gt; 13.5 cm 2 <ref type="bibr">(Bordoloi et al. 2014;</ref><ref type="bibr">Burchett et al. 2016)</ref>. Using conservative ionization fraction arguments which take the maximum fraction of carbon that presents as C iv , &#8672;30%, for both photoionized and collisionally ionized gas, such measurements imply &gt; 10 6 M of carbon sits in the CGM of external galaxies. For sub-L &#8676; galaxies with stellar masses 10 8.5 . M ? <ref type="bibr">[M ]</ref> . 10 10 , this estimated CGM carbon mass amounts to 50%-80% of the total ISM carbon mass <ref type="bibr">(Bordoloi et al. 2014)</ref>.</p><p>Measurements of the Milky Way's CGM are needed at all velocities in order to directly probe the baryonic mass of the Milky Way, test the expectations from cosmological simulations, and compare the Milky Way to other galaxies. Motivated by this need, we present QuaStar: an absorption-line survey designed to enable the first measurements of low-velocity CGM gas in the Milky Way that have been isolated from contaminating foreground absorption.</p><p>The QuaStar survey follows recent work examining ionized CGM gas absorption in the Milky Way using HST/COS archival spectra of hundreds of quasars <ref type="bibr">(Richter et al. 2017;</ref><ref type="bibr">Zheng et al. 2019;</ref><ref type="bibr">Qu et al. 2020)</ref>. <ref type="bibr">Richter et al. (2017)</ref> provide a list of quasar pairs with &lt; 1 sightline separation and highlight the di&#8629;erences in their Si ii , Si iii , C ii , and C iv absorption profiles. Our preliminary investigation of sightlines included in the <ref type="bibr">Zheng et al. (2019)</ref> COS-GAL sample showed that the variation of C iv for 20/26 quasar pairs with angular separation &lt; 2 is consistent with noise. With this study we build on the discovery that C iv , sensitive to warm (T &gt; 10 4.5 K) CGM gas, is found in large coherent structures and exhibits little variation in column density between sightlines at small separation <ref type="bibr">(Werk et al. 2019)</ref>.</p><p>Specifically, QuaStar uses close pairs of quasar and halo star sightlines to account for the foreground gas absorption that blends with and obscures our view of low-velocity gas in the Milky Way's CGM. The experimental design of QuaStar relies on the expectation that C iv -bearing gas in the inner halo of the Milky Way is homogeneous on the angular scales probed by the star-quasar sightline pairs -an assumption that we seek to evaluate as we carry out the analysis. If both quasar and stellar spectra have the same amount of C iv absorption due to foreground gas, then the di&#8629;erence in total C iv absorption between them likely originates in the Milky Way's extended CGM, revealing its unobscured content for the first time.</p><p>Here we focus on the first isolated measurement of N CIV in the extended Milky Way halo (R CGM &amp; 10 kpc) for 30 sightline pairs across the sky and use our findings to place the Milky Way's CGM content in a broader extragalactic context. &#167;2 expands on the details of the QuaStar survey design, sample, and data. &#167;3 describes our analysis methods for obtaining column density measurements and applying a "spectral di&#8629;erencing" technique to isolate low-velocity C iv in the Milky Way's CGM. We present the results of our ISM-subtracted C iv measurements in &#167;4 and discuss the implications of our findings in &#167;5. Finally, we conclude with a summary in &#167;6.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">OBSERVATIONS</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Survey Design</head><p>The QuaStar survey consists of HST/COS G160M spectroscopy of 30 UV-bright halo stars at distances d &#8672; 5 14 kpc paired with archival G160M spectra of quasars separated by less than 2.8 on the sky (Figure <ref type="figure">1</ref> and Table <ref type="table">1</ref>). Quasar sightlines probe the extended CGM, while halo star sightlines span foreground absorption from the disk and the disk-halo interface. Thus, the survey design allows absorption along the stellar sightline (originating from foreground gas associated with the disk) to be subtracted from absorption along the quasar sightline (originating from both disk and CGM gas), in principle isolating absorption signatures of gas beyond the disk-halo interface.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Sample Selection</head><p>To ensure that foreground ISM contamination could be subtracted successfully, we selected a sample of halo stars that are (1) far-UV (FUV) bright (FUV magnitude &lt; 17.5), (2) well above the Galactic plane (|z| &gt; 6 kpc) and (3) close on the sky (&lt; 2.8 ) to quasars with well-detected rest-frame C iv . The disk-halo interface has been suggested to have a scale height of &#8672;3 kpc in C iv <ref type="bibr">(Savage &amp; Wakker 2009</ref>), so we targeted stars &gt;6 kpc above the Galactic plane. Assuming an exponential density profile along the z-axis for C iv -bearing gas, a halo star at z &#8672;6 kpc allows us to subtract out &amp;86% (= 1 e 6/3 ) of absorption from the obscuring diskassociated material.</p><p>Although sightlines at lower Galactic latitudes would be sensitive to CGM features in the extended plane of the disk, UV-bright quasar lines of sight at low Galactic latitudes are rare due to significant extinction from the Milky Way disk. Generally, sightlines at higher Galactic latitudes are less a&#8629;ected by Galactic di&#8629;erential rotation and generally must pass through less foreground ISM substructure in order to probe gas at &gt;6 kpc above the disk. As a result, we chose QuaStar lines of sight to lie at |b| &gt; 30 . We sampled the sightlines as evenly as possible in Galactic longitude and within our range of Galactic latitudes. In selecting lines of sight, we did not avoid the well-studied, ionized Magellanic System (MS; <ref type="bibr">Fox et al. 2014)</ref>, the bulk of which lies at d &amp; 50 kpc and |v LSR | &gt; 100 km s 1 . We discuss its possible contribution to our C iv measurements throughout the manuscript, and sightlines that intersect Hi associated with the MS are labeled "MS" in Figure <ref type="figure">2</ref> and Table <ref type="table">1</ref>.</p><p>The stellar sightlines for QuaStar are blue horizontal branch halo (BHB) stars, which have little scatter in their absolute magnitudes and generally exhibit FUV-bright continua with few stellar absorption features <ref type="bibr">(Deason et al. 2011;</ref><ref type="bibr">Werk et al. 2019)</ref>. To construct a parent sample of halo stars, we started with the <ref type="bibr">Smith et al. (2010)</ref> catalog of BHB candidates. This catalog was itself constructed from photometric Sloan Digital Sky Survey (SDSS) observations, using a machine learning method trained on the spectroscopically confirmed catalog of <ref type="bibr">Xue et al. (2008)</ref>. We then matched the stars to the Gaia DR2 catalog for parallaxes <ref type="bibr">(Gaia Collaboration et al. 2016</ref><ref type="bibr">, 2018)</ref>. While Gaia does not have the parallactic sensitivity to robustly measure the distance to these halo stars, the primary interlopers into our color selection are nearby disk stars, which Gaia parallaxes allow us to reject. We found that these interloper disk stars composed roughly 20% of the original sample.</p><p>The SDSS sample is largely limited to the northern sky, so for southern targets we turned to the SkyMapper survey <ref type="bibr">(Wolf et al. 2018)</ref>. SkyMapper is the only largearea southern survey with accurate u-band photometry, a critical filter for selecting BHB stars. We found a small subset of SDSS BHB stars from <ref type="bibr">Smith et al. (2010)</ref> that are also detected in SkyMapper. These served as the training set for a k-nearest neighbors algorithm, which we used to predict the BHB probability of the rest of the SkyMapper stellar sample based on colors. Using the same Gaia method to reject interlopers, we found the highest likelihood BHB (&gt;90%) subsample to be 10% disk stars, which we rejected.</p><p>We then took this decontaminated joint SDSS/SkyMapper parent sample of halo BHB stars and found all stars with well-measured FUV magnitudes from GALEX <ref type="bibr">(Bianchi et al. 2017)</ref>. We took the subset of these stars brighter than FUV = 18.5 and cross-matched it with the COS-GAL sample of quasars <ref type="bibr">(Zheng et al. 2019</ref>) with well-measured C iv Galactic absorption, requiring pairs to be closer than 3 . Each of the archival quasars paired to these stars was examined to look for redshifted lines contaminating the Galactic C iv absorption, and one quasar was rejected for having saturated contamination. From this list we culled out any redundant stars that significantly overlapped, with a bias toward removing fainter stars that would be time-consuming to observe. Finally, we included three sightline pairs from an initial pilot study that made use of preexisting observations of stars <ref type="bibr">(Lehner &amp; Howk 2011)</ref> and quasars <ref type="bibr">(Zheng et al. 2019)</ref>. One sightline pair (quasar LBQS-0107-0232 and star J0111-0011) was later excluded from analysis because Lyman-alpha forest prevented accurate measurement of Milky Way absorption features. The final list is composed of 30 BHB star-quasar pairs that provide a roughly even sampling of the high-latitude (b &gt; 30 ) sky (Figure <ref type="figure">1</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Quasar &amp; Stellar Spectra</head><p>QuaStar includes both stellar and quasar spectra observed with the G160M grating on Cosmic Origins Spectrograph (COS; <ref type="bibr">Froning &amp; Green 2009;</ref><ref type="bibr">Green et al. 2012)</ref> on the Hubble Space Telescope. The stellar spectra were obtained as part of a Cycle 26 HST Large Program (PID #15656), and the archival quasar spectra were originally obtained as part of a number of di&#8629;erent programs with varying science goals. We detect FUV absorption features from metal ions such C iv ( 1548 &#197;, 1550 &#197;) and Si iv ( 1393 &#197;, 1402 &#197;), which trace warm ionized material. Both our newly observed stellar targets and their archival quasar pairs in the Hubble Spectral Legacy Archive (HSLA) were observed at a central wavelength of 1577 &#197; , with a wavelength range of 1383-1754 &#197; and a velocity resolution of 18 km s 1 .</p><p>The stellar spectra were co-added with 3-pixel binning using the IDL routine COADD X1D (v3.3) developed by <ref type="bibr">Danforth et al. (2016)</ref>. Co-added quasar spectra were obtained directly from the HSLA and rebinned to match the stellar spectra using the SpectRes spectral resampling tool <ref type="bibr">(Carnall 2017)</ref>. Coauthor Yong Zheng performed a co-added flux comparison among COADD X1D and HSLA data for a set of bright UV stars, finding that despite their slightly di&#8629;erent algorithms the spectral co-addition routines from COADD X1D and HSLA yield similar line profiles and co-added flux levels (Y. <ref type="bibr">Zheng et al. 2020, private communication)</ref>. This check assures that the stellar and quasar spectra comparison does not su&#8629;er significant systemic errors. After spectra were binned and co-added, continuum fitting was performed for both stars and quasars using the linetools package 7 , an open-source code for analysis of 1D spectra.</p><p>In order to enable accurate measurement of the C iv column density down to a limit consistent with that of low-redshift CGM surveys (log N CIV &amp; 13.5 cm 2 ), we obtained COS spectra of stellar sightlines with signal-to-noise ratio (S/N) of &amp; 10 over the full spectrum. The stellar COS spectra have 14.0 &lt; S/N &lt; 43.3 at = 1550 &#197;, with a median value of 16.5. The quasar spectra have 5.6 &lt; S/N &lt; 29.5 at = 1550 &#197;, with a median value of 14.2. For reference, an S/N of &#8672;15 at = 1550 &#197; corresponds to a median 2 upper limit (e.g. for non-detections) of log N CIV . 13.20 cm 2 over a 50 km/s window. As we will discuss below, our di&#8629;erence spectra require us to measure features over two larger velocity ranges, which in turn impacts our e&#8629;ective sensitivity limit for the column density di&#8629;erence measurement. Specifically, we will consider all material within &#177;150 km s 1 and &#177;300 km s 1 of the local standard of rest (LSR); these windows carry an e&#8629;ective 1 sensitivity limit to log N CIV of 13.39 and 13.56 cm 2 , respectively. The sensitivity limits for the di&#8629;erence measurements are explained in more detail in &#167;3.3.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">ANALYSIS</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Contamination Correction</head><p>Once data reduction was complete, we identified and corrected for contaminating absorption features, which were present in 16 quasar spectra and 17 stellar spectra. In quasar spectra, where absorption-line systems at higher redshifts can overlap with rest-wavelength features of interest, there were a greater number of contamination features per sightline and those features had larger column densities on average. Contaminating absorption lines intrinsic to the BHB stellar atmospheres were less numerous, and when present, the contaminating absorption was weaker.</p><p>In order to distinguish contaminants from Galactic absorption, we used the PyIGM IGMGUESSES GUI 8 to identify all absorption features within 500 km/s of the C iv ( 1548, 1550 &#197;) and Si iv ( 1393, 1402 &#197;) doublets and obtained preliminary line profile fits (with velocity v, column density N , and Doppler b parameter b D ). We found that absorption features in the C iv doublet consistently matched one another but Si iv features were frequently saturated, resulting in unreliable column density measurements. For that reason, we focus only on C iv measurements in the body of this paper.</p><p>To remove contaminating absorption, the velocity window used to fit each absorption component was determined by eye, and both lines in each absorption doublet were then fit simultaneously. This individual inspection allowed us to assign narrow velocity priors for fitting in cases when multiple components were blended. Any remaining absorption features that were not present in both lines of the C iv doublet were considered contaminants. If we found any blended contaminants in</p><p>1548, 1550 &#197;) absorption doublets in the contamination-corrected, continuumnormalized star-quasar spectrum pairs. Velocities are given in the LSR frame. For each sightline pair, spectra and target names are shown in red for the star and blue for the quasar. The stronger 1548 &#197; line is shown on bottom with the 1550 &#197; line above it. Since the doublet lines are separated by &#8672;500 km/s in velocity space, some features that appear at positive velocities relative to the 1548 &#197; line are also visible at negative velocities relative to the 1550 &#197; line. The sightline pairs are labeled with ID numbers, which are listed in Table <ref type="table">1</ref> and referenced throughout this work. A symbol below the ID number identifies sightline pairs with significant excess quasar absorption ( ) or stellar absorption ( ) at |v| &lt; 150 km/s. Sightlines in the direction of the MS are labeled with a '+' symbol. Right columns: Di&#8629;erence spectrum showing the average excess quasar absorption for the doublet lines shown in the left column (quasar absorption -stellar absorption). A value of 0 means that the normalized fluxes of the star and quasar are identical, and a value of &#177;1 corresponds to an excess equal to the continuum level. In order to highlight features that are inconsistent with noise, regions of the di&#8629;erence spectrum where the excess absorption is greater than the flux error for both lines in the doublet are shaded blue or red for quasar and stellar excess, respectively. In both columns, the gray shaded region shows the 150 km/s "low-velocity" window within which absorption features were measured. quasar spectra, we then identified and fit profiles for all absorption-line systems at higher redshifts to identify the contaminating line. Once all absorption components were identified and fit, we adjusted the normalized fluxes of each spectrum using the best-fit line profiles of the contaminants. All subsequent analysis was performed on the resulting contamination-corrected spectra.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Column Densities</head><p>We measured column densities using the apparent optical depth method (AODM) with the same linetools XSpectrum1D package 9 used for data reduction (see &#167;2.3). We measured the C iv ( 1548, 1550 &#197;) and Si iv ( 1393, 1402 &#197;) doublets, which are both strong and well-defined features in UV COS spectra. However, saturated Si iv features often prevented precise or reliable measurement, and we therefore present only the C iv measurements in this work.</p><p>We report column densities measured for two velocity windows, which include absorption within 150 and 300 km/s of the Galactic LSR for each sightline. In our primary analysis we focus on the |v| &lt; 150 km/s window. We choose this velocity range in order to fully capture the low-velocity absorption features we detect while minimizing the potential for including additional noise or contaminating features. Going forward we use the term "low-velocity" to refer to this |v| &lt; 150 km/s window unless otherwise specified. In addition, we make the same measurement within a wider |v| &lt; 300 km/s window, which includes absorption from the MS along some quasar sightlines. If structures similar to the MS exist in external galaxies, then they could potentially contribute to CGM column densities measured at low velocity relative to the galaxy, depending on the sightline orientation and corresponding observed radial velocity. We therefore find this wider velocity window useful for comparing our results to column densities of external galaxies in the literature (see &#167;5.2 for such comparisons). 9 <ref type="url">https://github.com/linetools/linetools</ref> 3.3. Di&#8629;erence Spectra In order to isolate and measure absorption signatures of CGM gas beyond the disk-halo interface, which is always blended with absorption from foreground gas along the line of sight, we leverage the unique experimental design of QuaStar to correct for the blended foreground absorption. Data included in the archival COS-GAL sample indicate that C iv absorption exhibits no detectable variation between &#8672; 80% of sightlines separated by &lt; 2 <ref type="bibr">(Zheng et al. 2019)</ref>; we can reasonably assume that the C iv absorption originating from foreground gas will be consistent between the stellar and quasar spectra in the same fraction of our close sightline pairs (but see O vi analysis of SMC/LMC sightlines of <ref type="bibr">Howk et al. 2002)</ref>. Therefore, we can measure the absorption from foreground gas along stellar sightlines that extend to the disk-halo interface and use those measurements to subtract foreground gas absorption along the closely paired quasar sightlines. We expect that &#8672;20% of paired sightlines will have excess stellar or quasar absorption due to clumpy foreground gas. In theory, the resulting di&#8629;erence spectrum will reveal any remaining C iv absorption originating from Milky Way CGM gas behind the star. We discuss some caveats to these assumptions in &#167;5.2.</p><p>Figure <ref type="figure">2</ref> displays line profiles of the C iv ( 1548, 1550 &#197;) absorption doublet for each paired star (red) and quasar (blue), along with the corresponding di&#8629;erence spectrum for each sightline pair. Each pair is labeled with an ID number that can be referenced in Table <ref type="table">1</ref>, and a symbol appears below the ID number in cases where the sightline pair has significant excess quasar absorption ( ) or stellar absorption ( ) at |v| &lt; 150 km/s. Sightlines in the direction of the Magellanic System are labeled with a '+' symbol, regardless of whether excess absorption is detected. The spectra (left columns) are continuum normalized and corrected for contamination, and the corresponding di&#8629;erence spectra (right columns) are determined simply by subtracting the stellar flux from the quasar flux. Thus, the di&#8629;erence spectra are positive where absorption along the quasar sightline exceeds absorption along the stellar sightline, and vice versa. The di&#8629;erence spectra in Figure <ref type="figure">2</ref> are shaded where this excess is greater than flux measurement errors, with red shading used for excess stellar absorption and blue for excess quasar absorption.</p><p>The mean stacked absorption profile and di&#8629;erence spectrum of the individual sightline pairs in Figure <ref type="figure">2</ref> are presented in Figure <ref type="figure">3</ref>. As with the individual sightline pairs, the left panel shows the C iv absorption doublet, with the mean normalized flux for quasars in blue and for stars in red. The right panel shows the mean stacked difference spectrum for the 30 sightline pairs. The standard error on the mean, shaded purple, is calculated using the jackknife resampling method, which does not assume a normal distribution or large sample size. The absorption profile in the left panel illustrates that the bulk of the C iv column density we detect in the Milky Way is moving at velocities within 100 km s 1 of the LSR. However, the di&#8629;erence spectrum in the right panel is relatively flat and consistent with zero, which suggests that little of the low-velocity C iv lies beyond d &#8673; 14 kpc in the Milky Way's halo. While stacked spectra are useful for getting a sense of global behavior over the whole sky, we caution that they may be misleading. Features of interest that are weak and present in only one direction on the sky may be smoothed out. In a forthcoming paper we will further examine such features and the kinematic information they provide about Galactic features such as rotational lag and gas flows.</p><p>If foreground absorption were perfectly homogeneous and identical along both quasar and stellar sightlines in every case, we would not expect to see any stellar excess in the di&#8629;erence spectra. However, as discussed in &#167;2, we expect that variation in foreground gas density due to clumpy ISM substructure will result in a significant detection of excess absorption for 20% of our paired star and quasar sightlines. In our sample of 30 sightline pairs, this translates to 3&#177;1 pairs with detectable stellar excess and 3&#177;1 pairs with detectable quasar excess, assuming Poisson noise. We will report both an empirical covering fraction, uncorrected for this clumpiness factor, and a corrected covering fraction, which excludes three detections assumed to be contamination.</p><p>To determine our sensitivity to weak CIV features in the di&#8629;erence spectra, we estimate upper limits on N CIV for each spectrum using the 1 error on column density measured within a featureless region of the continuum near the C iv ( 1548, 1550 &#197;) doublet. The velocity width of the featureless region matches the width of the window used for column density measurements, but the exact location of the featureless region in velocity space was selected by eye to ensure that contaminating lines were excluded from the measurement. These 1 detection limits are conservative upper limits given the large velocity ranges over which they are measured. The upper limit we report on the di&#8629;erence measurement logN CIV in the case of a non-detection, N det , is the two one-sigma upper limits for stellar and quasar sightlines added in quadrature.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">RESULTS</head><p>We measure C iv column densities for each individual sightline, and the di&#8629;erence between those column densities for each star-quasar sightline pair. For convenience we define our column density di&#8629;erence measurement of low-velocity C iv in the Milky Way's CGM to be</p><p>where N q is the quasar sightline column density, N s is the stellar sightline column density, and the di&#8629;erence measurement sensitivity limit N det is the sensitivity limit of the stellar and quasar spectra added in quadrature, as discussed in &#167;3.3. Thus, logN LVCGM is the log of the di&#8629;erence in column density for a star-quasar pair, where excess absorption along the quasar sightline gives a positive value and excess absorption along the stellar sightline gives a negative value. If the column density di&#8629;erence is smaller than the sensitivity limit, then N det places an upper limit on the value of logN LVCGM . The di&#8629;erence measurement logN LVCGM will be negative in cases where there is a small clump or overdensity present along the line of sight to the star that is not in the foreground gas along the quasar sightline. We expect roughly 10% of sightline pairs to have column density excess along the stellar sightline due to di&#8629;erences in foreground gas absorption (see &#167;3.3).</p><p>We present the results for two velocity windows: one measuring |v| &lt; 150 km/s gas (hereafter referred to as "low-velocity"), and a wider |v| &lt; 300 km s 1 window that is useful for comparing to extragalactic CGM measurements (see &#167;3.2 for an explanation of this choice of velocity windows). The low-velocity (|v| &lt; 150 km/s) C iv column densities and di&#8629;erence measurements for each star-quasar sightline pair are listed in Table <ref type="table">1</ref>. Lowvelocity C iv column densities for stellar sightlines have a range of logN CIV,star = [13.12, 14.41] and the log of the median column density is 14.11; quasar sightlines have a range of logN CIV,quasar <ref type="bibr">= [13.47, 14.40</ref>] and the log of the median column density is 14.16. The column density di&#8629;erence measurements for sightline pairs have a range of logN LVCGM <ref type="bibr">= [11.41, 14.11]</ref> for pairs with excess quasar absorption and logN LVCGM = [12.03, 13.88] for pairs with excess stellar absorption.</p><p>Over all logN LVCGM measurements, the log of the median column density di&#8629;erence is 11.60 and the median sensitivity limit is logN det = 13.39. The distribution of these values is shown by the violin plot at the center of the bottom panel of Figure <ref type="figure">4</ref>. Within the low-velocity window we detect excess stellar absorption above the sensitivity limit for three sightline pairs <ref type="bibr">(IDs 14,</ref><ref type="bibr">19,</ref><ref type="bibr">&amp; 20)</ref> and excess quasar absorption for six sightline pairs <ref type="bibr">(IDs 5,</ref><ref type="bibr">6,</ref><ref type="bibr">11,</ref><ref type="bibr">16,</ref><ref type="bibr">17,</ref><ref type="bibr">&amp; 30)</ref>. We find a total low-velocity C iv covering fraction of f CIV,star (log N&gt;13.65)=97% [29/30] and f CIV,quasar (log N&gt;13.65) = 100% [30/30]; after subtracting foreground gas absorption with the spectral di&#8629;erencing technique, the C iv covering fraction of the isolated CGM component is f CIV,LVCGM (log Here, color represents the galactic coordinates of the sightline pair. Open markers represent measurements below the sensitivity limit. In the left panel, markers are green if a sightline is in the northern Galactic hemisphere and gray if it is in the southern Galactic hemisphere; in the right panel, markers are orange if the sightline is toward Galactic center, and purple if it is away from Galactic center. The violin plot in the middle panel shows the distribution, median value, and interquartile range of the C iv column density di&#8629;erence measurement logN LVCGM . The range of column density measurements that fall below the median sensitivity limit of the sample ( logN LVCGM &lt; 13.39 cm 2 ) is shaded gray. Notably, the column density di&#8629;erence logN LVCGM for most sightline pairs falls below the sensitivity limit, suggesting that there is little low-velocity gas in the Milky Way's extended CGM.</p><p>N&gt;13.65)=20% [6/30]. If we assume that three of these sightlines are false positives caused by clumpy foreground gas (as discussed in &#167;3.3), then the corrected covering fraction is f &#8676; CIV,LVCGM (log N&gt;13.65)=10% [3/30]. To test our assumption that there is negligible variation of C iv column density on scales of &lt;2 , we confirmed that | logN LVCGM | is not correlated with sightline separation of the star-quasar pair (p=0.67). We also confirmed that logN LVCGM is not correlated with Galactic latitude (p=0.58), Galactic longitude (p=0.37), or distance to the foreground star (p=0.71).</p><p>We repeat these measurements within the wider |v| &lt; 300 km/s velocity window and obtain di&#8629;erence measurements with a range of logN LVCGM = [12.04, 14.28] for pairs with excess quasar absorption and logN LVCGM = [12.42.13.92] for pairs with excess stellar absorption, with a log of the overall median column density di&#8629;erence of 12.65 and an overall median sensitivity limit of logN det = 13.56. Within this wider velocity window we detect excess stellar absorption above the sensitivity limit for 2 sightline pairs (IDs 14 &amp; 19), and excess quasar absorption for 10 sightline pairs <ref type="bibr">(IDs 5,</ref><ref type="bibr">6,</ref><ref type="bibr">11,</ref><ref type="bibr">16,</ref><ref type="bibr">17,</ref><ref type="bibr">21,</ref><ref type="bibr">26,</ref><ref type="bibr">27,</ref><ref type="bibr">29,</ref><ref type="bibr">&amp; 30)</ref>. The covering fraction of CGM gas within the wider velocity window is f CIV,CGM (log N&gt;13.65)=38% [9/24], and the corrected covering fraction is f CIV,CGM (log N&gt;13.65)=25% [6/24]. Note that this covering fraction excludes any sightline pairs with a sensitivity limit greater than the given limiting column density. The absorption features we detect at 150 &lt; |v| &lt; 300</p><p>Bish et al.</p><p>km/s are typically distinct from any excess absorption at |v| &lt; 150 km/s and do not su&#8629;er from blending. We identify the MS as the absorber in most of these sightlines and discuss possible origins of other excess absorption in &#167;5.1. The top panel of Figure <ref type="figure">4</ref> shows the logN LVCGM di&#8629;erence measurements within a |v| &lt; 150 km/s velocity window, overlaid on a map of Galactic HVCs (|v| &gt; 70 km s 1 ) from the HI4PI survey in gray (HI4PI <ref type="bibr">Collaboration et al. 2016;</ref><ref type="bibr">Westmeier 2018)</ref>. Each marker represents one star-quasar sightline pair and is labeled with an ID that can be referenced in Table <ref type="table">1</ref> and<ref type="table">Figure 2</ref>. Markers are blue if there is more C iv absorption along the quasar sightline, and red if there is more along the stellar sightline. The bottom panel plots the same di&#8629;erence measurements against Galactic latitude and longitude separately, with their distribution in the middle. Each marker again represents one sightline pair, but here the color of the markers corresponds to their Galactic coordinates. The median sensitivity limit for the sample is shaded gray for reference, but each sightline pair may have a sensitivity limit above or below this value.</p><p>The fraction of sightline pairs with significant excess stellar absorption (3/30) is consistent with our expectation that 10% of sightline pairs will have stellar excess due to clumpiness in foreground gas (see &#167;3.3). The quasar excess detection rate (6/30) suggests that the column density of extended Milky Way CGM gas is below our sensitivity limit of logN C iv &lt; 13.39 cm 2 across most of the sky. All but one of the significant detections are in the northern Galactic hemisphere at latitudes 60 &lt; b &lt; 70 . The two sightline pairs with the greatest excess quasar absorption (IDs 6 &amp; 11) are close together at Galactic longitudes 270 &lt; `&lt; 300 .</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.">DISCUSSION</head><p>In this section we comment on the significance of specific di&#8629;erence measurement detections and identify the MS, a low-velocity cloud, and HI Complex A as possible origins of the detected absorption. We then compare our observations of the Milky Way's CGM to similar measurements of external galaxies in order to place our results in larger context. Finally, we discuss apparent inconsistencies between the Milky Way and other galaxies, and explore some explanations which might reconcile them.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.1.">The Magellanic System and LVHCs</head><p>One of the most prominent features visible in the difference spectra is the excess quasar sightline absorption at v &#8672; 250 km/s for pair IDs 26, 27, and 29 (see Figure <ref type="figure">2</ref>). The velocities and Galactic coordinates of these features are consistent with absorption from the Magellanic Stream <ref type="bibr">(Nidever et al. 2008;</ref><ref type="bibr">Fox et al. 2014</ref>) and they have C iv column densities logN CIV = 13.81, 13.78, and 14.16, respectively. Those three prominent absorbers account for 96% of the excess absorption added by the wider velocity window (that is, at 150 &lt; |v| &lt; 300 km/s), which increases the median di&#8629;erence measurement of the overall sample by logN=12.46 from the narrower low-velocity window. Two other sightlines also have absorption identified as MS because they are in the direction of MS-associated Hi gas: sightline 30 intersects a section of the Magellanic Stream with low radial velocities and shows some detectable absorption within the low-velocity window, while sightline 20 lies in the direction of the Magellanic Clouds and has a stellar excess within the low-velocity window.</p><p>The considerable contribution of high-velocity gas to the total column density detected in the Milky Way's CGM is an apparent contradiction to extragalactic CGM studies that detect &gt; 90% of both low-and highionization CGM gas at velocities within 200 km/s of the galaxy systemic velocity (e.g., <ref type="bibr">Tumlinson et al. 2013;</ref><ref type="bibr">Werk et al. 2016)</ref>. But the MS is a dominant feature peculiar to the Milky Way and therefore presents a complication when interpreting our results in the context of other Milky Way-like galaxies.</p><p>Our primary analysis of low-velocity gas, however, focuses on a |v| &lt; 150 km/s window that excludes most MS absorption. Within that narrower window we detect low-velocity CGM gas for six sightline pairs. Three of these detections are likely due to expected fluctuations of foreground gas density (see &#167;3). Furthermore, the quasar excess for pair #16 may be capturing the ionized edge of Complex A, which has a distance of 8 kpc . d . 10 kpc <ref type="bibr">(Wakker &amp; van Woerden 1997;</ref><ref type="bibr">Wakker 2001;</ref><ref type="bibr">Sembach et al. 2003)</ref>. The two remaining detections have a clear correlation with known structures. Sightline pairs 6 and 11 have the largest logN LVCGM measurements, and both lie in the northern Galactic hemisphere in the direction of a HI low-velocity halo cloud (LVHC) previously identified by <ref type="bibr">Peek et al. (2009)</ref>.</p><p>Low-velocity clouds represent a distinct population that has not been well studied, but they are associated with detections of both HI and metals that trace cooler gas, typically in the lower halo or the Milky Way disk (Ben <ref type="bibr">Bekhti et al. 2009</ref>). The low-velocity cloud that corresponds to our detections is a continuation of a large HVC complex in the region <ref type="bibr">(Peek et al. 2009;</ref><ref type="bibr">Saul et al. 2012)</ref>; aside from the MS, all known HVC complexes have distances that place them in the inner halo (d . 15 kpc). It is therefore unlikely that the low-velocity gas we detect in sightline pairs 6 and 11 originates in the extended CGM.</p><p>Finally, we note that five of the six quasar excess detections are found in the northern Galactic hemisphere. Although we do not know the distance to any of these absorbers with certainty, their distribution suggests that low-velocity CGM gas in the Milky Way is not spatially homogeneous.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.2.">Comparison with Low-Redshift CGM Surveys</head><p>In &#167;4 we reported excess quasar absorption in 6/30 sightline pairs, and we expect that 3 &#177; 1 of those detections are due to fluctuations of foreground gas (see &#167;3.3). Two of the remaining three detections originate in a lowvelocity HI halo cloud that is likely to be located in the inner Galactic halo. Within a wider velocity window, almost all detected absorption originates from the MS. In sum, we detect very little low-velocity gas in the Milky Way's extended CGM. Are these results expected based on what we know about low-velocity halo gas in exter-Figure <ref type="figure">5</ref>. CGM column density in Milky Way vs. other galaxies. Column densities of C iv in the CGM of the Milky Way and other low-redshift galaxies <ref type="bibr">(Bordoloi et al. 2014;</ref><ref type="bibr">Burchett et al. 2016;</ref><ref type="bibr">Lehner et al. 2020</ref>) as a function of distance from the center of the host galaxy normalized by virial radius. In the case of external galaxies, R/R vir is the impact parameter &#8674; of the sightline normalized by the galaxy's virial radius. For QuaStar sightlines, which have a di&#8629;erent viewing geometry than extragalactic sightlines, R/R vir is the paired star's Galactocentric distance normalized by the Milky Way's virial radius. The markers are filled if the measurement is a detection; otherwise, the upper limit is shown with an open marker. Marker colors represent the stellar mass of the galaxy being probed by the sightline. The Milky Way column density di&#8629;erence measurements in QuaStar, represented by '+' symbols, are measured within a |v| &lt; 300 km/s window, which includes the MS. QuaStar sightlines in the direction of the MS are circled.</p><p>nal Milky Way-like galaxies? In order to understand our findings, we must examine them in the context of existing extragalactic observations.</p><p>In this section we compare QuaStar column density measurements and covering fractions of C iv with similar measurements in external low-redshift galaxies. In addition to the low-velocity (|v| &lt; 150 km/s) window used throughout our main analysis and discussion of this work (Figure <ref type="figure">4</ref> and Table <ref type="table">1</ref>), we use a wider velocity window (|v| &lt; 300 km/s) to measure column density di&#8629;erence. This expanded velocity window is useful for comparison with external galaxies, which often include a velocity search window of &#177;300 km s 1 from the galaxy redshift. However, complication arises with comparisons using the expanded velocity window because it includes MS absorption in the Milky Way, whereas there is scant evidence for LMC-like companions in other galaxies <ref type="bibr">(Tollerud et al. 2011;</ref><ref type="bibr">Liu et al. 2011;</ref><ref type="bibr">James &amp; Ivory 2011)</ref>. For that reason we consider measurements within the wider velocity window to be more conservative in the context of investigating whether the Milky Way has anomalously sparse low-velocity CGM compared to other galaxies.</p><p>In Figure <ref type="figure">5</ref>, we plot column densities of C iv as a function of R/R vir , the distance from the center of the host galaxy normalized by its virial radius. In the case of external galaxies, R/R vir is the impact parameter &#8674; of the sightline normalized by the galaxy's virial radius. For QuaStar sightlines, which have a di&#8629;erent viewing geom-etry than extragalactic sightlines, R/R vir is the paired star's Galactocentric distance normalized by the Milky Way's virial radius. Column densities are represented by markers colored according to the stellar mass of the host galaxy; the markers are filled if the measurement is a detection; otherwise, the upper limit is shown with an open marker. The Milky Way column density difference measurements in QuaStar, represented by '+' symbols, are measured within a |v| &lt; 300 km/s window that includes the MS. QuaStar sightlines in the direction of the MS are circled. We assume a virial radius of 230 kpc for the Milky Way, determined by adopting a mass of</p><p>We compare our results with C iv column densities of low-velocity gas in the halos of M31 <ref type="bibr">(Lehner et al. 2020</ref>), a sample of nearby galaxies (z &lt; 0.015; <ref type="bibr">Burchett et al. 2016)</ref>, and the COS-Dwarfs survey (z &lt; 0.1; <ref type="bibr">Bordoloi et al. 2014)</ref> in Figure <ref type="figure">5</ref>. It should be noted that many of these galaxies have stellar masses significantly lower than the Milky Way and do not necessarily reflect the distribution of nearby galaxies. The CGM of dwarf galaxies may have a di&#8629;erent density profile than L &#8676; galaxies, and they are thought to experience halo-scale flows tied to star-formation activity that may drive gas loss <ref type="bibr">(Oppenheimer et al. 2018;</ref><ref type="bibr">Johnson et al. 2017;</ref><ref type="bibr">Li et al. 2021</ref>). Ideally we would only compare our results to measure-Figure <ref type="figure">6</ref>. CGM covering fraction in Milky Way vs. other galaxies. Cumulative covering fraction f C of low-velocity C iv CGM gas for impact parameters within R/R vir of the host galaxy and a limiting column density of 13.65. The black line represents the covering fraction of low-velocity CGM gas for the combined samples of external galaxies presented in Figure <ref type="figure">5</ref>  <ref type="bibr">(Burchett et al. 2016;</ref><ref type="bibr">Bordoloi et al. 2014;</ref><ref type="bibr">Lehner et al. 2020)</ref>. The 1 and 2 Wilson binomial confidence intervals are shaded light and dark gray, respectively. The star symbol represents the covering fraction and 1 confidence interval for low-velocity CGM detections in QuaStar ("LV MW", |v| &lt; 150 km/s), and the plus symbol represents the same measurement within a wider velocity window that includes the MS ("MW", |v| &lt; 300 km/s). The cumulative covering fraction for external galaxies grows larger at smaller impact parameters, approaching unity at R/R vir &lt; 0.1. The CGM covering fraction in the Milky Way, as observed from within the Galaxy at R &#8672; 0.03 R vir , is inconsistent with the trend for the CGM covering fractions in external galaxies.</p><p>ments of galaxies with masses and star-formation rates similar to the Milky Way, but the data for C iv in galaxy halos are sparse. At this time, the column densities we show in Figure <ref type="figure">5</ref> represent the only substantial datasets available with C iv column densities around low-redshift galaxies.</p><p>The available measurements of C iv around external galaxies exhibit a trend of increasing column density at smaller impact parameters, and at R/R vir &lt; 0.2 most logN CIV measurements fall well above the sensitivity limit of QuaStar (the majority are lower limits as a result of saturation). The few Milky Way CGM detections are slightly lower than expected based on this trend, although they appear roughly consistent with the C iv in M31 as measured by the AMIGA survey <ref type="bibr">(Lehner et al. 2020</ref>). However, most QuaStar sightlines do not show detectable C iv in the Milky Way's CGM; this is inconsistent with the external sightline measurements, particularly at low impact parameters.</p><p>The striking discrepancy between the Milky Way and other low-redshift galaxies is illustrated most clearly in Figure <ref type="figure">6</ref>. The black line represents the empirical cumulative covering fraction for all sightlines within some radial distance of a galaxy, calculated for the three data sets in Figure <ref type="figure">5</ref> combined <ref type="bibr">(Bordoloi et al. 2014;</ref><ref type="bibr">Burchett et al. 2016;</ref><ref type="bibr">Lehner et al. 2020)</ref>. The 1 and 2 Wil-son binomial confidence intervals are shaded light and dark gray, respectively. The symbols with error bars represent the covering fraction and 1 confidence interval for Milky Way CGM detections in QuaStar within the low-velocity window ("LV MW", |v| &lt; 150 km/s) and broader window that includes MS absorption ("MW", |v| &lt; 300 km/s). For external galaxies, the cumulative covering fraction trends upward at smaller impact parameters, approaching unity at R/R vir &lt; 0.1.</p><p>The CGM covering fraction in the Milky Way (as observed from within the Galaxy at R &#8672; 0.03R vir ) is not consistent with the trend in detection rate for external galaxies. This is especially evident in the low-velocity window, which has a covering fraction of f C,LV M W = 20%, well below the cumulative covering fraction of f C,lit (R &lt; 0.2R vir ) = 79% for external galaxy sightlines. For the |v| &lt; 300 km/s window, the Milky Way covering fraction is higher at f C , MW = 38% but still significantly lower than the trend for external galaxies.</p><p>It is particularly unexpected that the window that includes MS absorption has a lower covering fraction than external galaxies. Satellite galaxies the size of the Magellanic Clouds are uncommon in the halos of L &#8676; galaxies <ref type="bibr">(Tollerud et al. 2011;</ref><ref type="bibr">Liu et al. 2011;</ref><ref type="bibr">James &amp; Ivory 2011)</ref>, so one might naively expect a galaxy like the Milky Way to have a covering fraction that is higher than other galaxies. The discrepancy between the Milky Way and its low-redshift neighbors only widens when we consider that three of the sightlines showing excess quasar absorption may be the result of foreground clumpiness. Furthermore, the inconsistency persists even when we account for the shorter distance probed by the Milky Way's inside-out sightline geometry.</p><p>It is important to recognize how di&#8629;erent observing geometries constrain CGM measurements in the Milky Way versus those made in external galaxies, and consequently how those geometries a&#8629;ect observed column densities. Measurements of the Milky Way's CGM are affected by an "inside-out" geometric observing bias that di&#8629;ers from the "outside-in" geometric bias for external galaxies. Any sightline that probes the Milky Way's extended CGM must also pass through the denser and clumpier gas in the inner halo. Although the QuaStar survey is designed to circumvent this issue, subtracting absorption from foreground gas introduces some uncertainty that does not a&#8629;ect external galaxy measurements. Furthermore, all QuaStar sightlines are at high Galactic latitude (|b| &gt;30 ) and originate from the same point within the Galaxy, while extragalactic sightlines pierce galaxy halos at a range of orientations and distances from the host galaxy.</p><p>The di&#8629;erent observing geometries also mean that in the Milky Way, gas velocities are measured along sightlines pointing radially outward from the disk, while velocities within extragalactic systems are measured along sightlines in a direction tangential to the galaxy. In both cases, measured velocities are only a projection of the true gas velocity onto the line of sight. Therefore, even if the CGM of the Milky Way and other L &#8676; galaxies were identical, a velocity structure that changes along the radial direction would result in di&#8629;erent observed velocities and increase the scatter of inside-out measurements by a factor of &#8672; 2 <ref type="bibr">(Zheng et al. 2020)</ref>. Such asymmetries in the kinematics of CGM gas are indeed seen in idealized simulations <ref type="bibr">(Lochhaas et al. 2020)</ref>. If this is correct, the gas that is detected at low velocities in external galaxies might be detected at &gt; 150 km/s if the same gas was observed from within the galaxy <ref type="bibr">(Zheng et al. 2015)</ref>.</p><p>To check that our results are not being driven by an observing geometry bias, we repeated the comparison to external galaxies using a "chord length" parameter. The chord length of each sightline is defined as the full distance the sightline traverses within the virial radius of the host galaxy and is equal to 2 p R 2 vir &#8674; 2 . For external galaxy sightlines, &#8674; is the impact parameter; for QuaStar sightlines, it is the foreground star's Galactocentric distance. Chord length therefore scales inversely with impact parameter for external galaxies.</p><p>For example, in a galaxy with a virial radius of R vir = 200 kpc, impact parameters of 50 and 150 kpc correspond to chord lengths of 387 and 265 kpc, respectively. For Milky Way sightlines with &#8674; = 8 kpc, the chord length is approximately 230 kpc. If we observed the Milky Way from the outside in like an external galaxy, the same chord length would correspond to a much larger impact parameter. Even so, when we compare the Milky Way to external galaxies using chord length, we still find a significantly lower covering fraction of low-velocity C iv in the Milky Way. The chord length thus provides an additional, conservative metric for comparing the disparate Milky Way and extragalactic datasets. However, without deprojected velocities and actual distance information for the absorbers along their sightlines, it is not possible to fully account for all biases arising from observing geometry. We emphasize that these biases may a&#8629;ect measured column densities in both the Milky Way and external galaxies.</p><p>5.3. Understanding the C iv Content of the Extended CGM: Is the Milky Way an Anomaly? To interpret our results, we must consider the physical properties of C iv -bearing gas within the broader context of a complex, multiphase CGM <ref type="bibr">(Tumlinson et al. 2017)</ref>. Generally, C iv has two possible phases: (1) along with common metal ions such as Si iv , N v , and O vi , it may trace warm, collisionally ionized "transition temperature" or "intermediate-ionization-state" gas at T &#8672; 10 5.5 K (e.g. <ref type="bibr">Werk et al. 2016</ref>); (2) C iv (and other intermediate ions present in the CGM) could also trace low-density, cool T&#8673; 10 4.5 K photoionized material, generally envisioned as clouds in the CGM (e.g. <ref type="bibr">Stern et al. 2016)</ref>. In a simulated experiment similar to QuaStar, <ref type="bibr">Zheng et al. (2020)</ref> used mock observations of 5, 000 quasar-star pairs through the halo of a high-redshift Milky Way analog in the FOGGIE simulation <ref type="bibr">(Peeples et al. 2019)</ref> and found that C iv may be a less sensitive tracer of the outer CGM than O vi and N v . In the FOGGIE simulations of high-redshift Milky Way analogs, therefore, C iv appears to predominantly trace cooler material typically detected as low ionization state metal species. In contrast, the cosmological hydrodynamical simulation EAGLE, with its AGN feedback model, predicts that C iv manifests as both warm and cool material, making it an ideal tracer of the total baryonic content of the CGM <ref type="bibr">(Oppenheimer et al. 2020)</ref>. Thus, the near absence of C iv in the QuaStar observations could mean either a lower quantity of lowdensity photoionized, cool clouds relative to other nearby star-forming galaxies or, alternatively, an atmosphere depleted of transitional-temperature gas, which is primarily exhibited by non-star-forming galaxies <ref type="bibr">(Tumlinson et al. 2011)</ref>.</p><p>With this in mind, we can speculate about what might cause the surprisingly low covering fraction we find for low-velocity gas in the Milky Way's CGM. QuaStar observations hint at a C iv distribution that deviates notably from the norm; we find that the bulk of the column density detected in the halo beyond d &#8672; 14 kpc is associated with the MS at velocities greater than 150 km/s (see &#167;5.1). This is kinematically very di&#8629;erent from sightlines through external galaxy halos, in which the bulk of the CGM gas column density tends to sit at v &lt; 150 km s 1 relative to galaxy systemic velocities (e.g., <ref type="bibr">Tumlinson et al. 2013;</ref><ref type="bibr">Werk et al. 2014;</ref><ref type="bibr">Zheng et al. 2019)</ref>. These contrasting measurements do not necessarily mean that the Milky Way is missing C iv at low velocities, however. For example, if halo gas predominantly flows in a radial direction, di&#8629;ering observing geometries in the Milky Way versus external galaxies (discussed in &#167;5.2) could cause halo gas velocities projected along the line of sight to be lower for external galaxies, producing a similar e&#8629;ect.</p><p>Moreover, because QuaStar focuses on high-latitude (|b| &gt; 30 ) sightlines, we cannot rule out the intriguing possibility that the C iv -traced CGM lies predominantly at lower Galactic latitudes. A toroidal or flareddisk morphology would not be probed by the QuaStar survey's inside-out high-latitude sightlines, but could be detected by outside-in sightlines through external galaxy halos with almost any orientation. Such an extended disk model is supported at least indirectly by observational and theoretical work that finds evidence for a large-scale rotational signal in the CGM <ref type="bibr">(Hodges-Kluck et al. 2016;</ref><ref type="bibr">Oppenheimer 2018;</ref><ref type="bibr">Martin et al. 2019;</ref><ref type="bibr">Ho et al. 2017;</ref><ref type="bibr">Zabl et al. 2019)</ref>. Other work has suggested that a corotating warm gas disk in the Milky Way may be more extended in the direction perpendicular to the disk rather than the radial direction (e.g., <ref type="bibr">Qu &amp; Bregman 2019;</ref><ref type="bibr">Qu et al. 2020)</ref>, so future observations using low-latitude sightlines will be important for constraining this picture of the CGM.</p><p>We also consider the possibility that the Milky Way truly is di&#8629;erent from most nearby star-forming galaxies. Evidence suggests that the Milky Way is a green valley galaxy, falling between the red sequence of quenched galaxies and the blue cloud of galaxies with active star formation on the color-magnitude diagram <ref type="bibr">(Mutch et al. 2011;</ref><ref type="bibr">Licquia et al. 2015;</ref><ref type="bibr">Bland-Hawthorn &amp; Gerhard 2016)</ref>. Star formation in Milky Way-mass galaxies declines over several Gyr on average, more slowly than lower-mass galaxies <ref type="bibr">(Pacifici et al. 2016)</ref>. Although a global star-formation history for the Milky Way itself is di cult to determine, the Galaxy may currently be in such a period of decline <ref type="bibr">(Snaith et al. 2014</ref><ref type="bibr">(Snaith et al. , 2015))</ref>. In intermediate-and high-mass galaxies at low redshift, decreasing star formation is tied to mechanisms such as gas consumption and weak tidal interactions with small satellite galaxies, like the Magellanic Clouds <ref type="bibr">(Bell et al. 2005)</ref>.</p><p>The transformation galaxies experience as they begin to quench is not yet fully understood, but the CGM, which plays a key role in sustaining star formation by serving as a reservoir of gas, is almost certainly impacted by the process. Indeed, the presence of O vi in galaxy halos is confirmed to correlate with global star formation, while it is relatively absent from the halos of non-starforming galaxies <ref type="bibr">(Tumlinson et al. 2011)</ref>. The physical explanation for this observed dichotomy in O vi is widely debated (e.g. <ref type="bibr">Oppenheimer et al. 2016;</ref><ref type="bibr">McQuinn &amp; Werk 2018)</ref>, but if O vi and C iv both trace T &#8673; 10 5 6 K transitional-temperature gas, then the near absence of C iv in the Milky Way's halo may be a similar reflection of its declining star-formation rate. Unfortunately, this is di cult to test directly because there are few measurements of C iv in the CGM of quiescent galaxies available for such a comparison. Simultaneous measurements of both O vi and C iv are exceedingly rare given available UV detector characteristics and the two doublets' &gt; 500 &#197; separation in wavelength, though some such measurements have been made for a few systems (e.g., <ref type="bibr">Werk et al. 2016;</ref><ref type="bibr">Johnson et al. 2017)</ref>.</p><p>Finally, the Local Group environment, which contains both M31 and the Milky Way, may not be representative of the typical environment of L &#8676; galaxies. Galaxy environment has been tied to the CGM properties of galaxies and may exert a divergent influence on otherwise similar galaxies (e.g. <ref type="bibr">Yoon &amp; Putman 2013;</ref><ref type="bibr">Stocke et al. 2014;</ref><ref type="bibr">Burchett et al. 2018)</ref>. The SAGA survey reports that 86% (109/127) of its Mily Way-analog satellites are starforming, in contrast to only 29% (4/14) of Local Group satellites of both M31 and the Milky Way in the same mass range <ref type="bibr">(Geha et al. 2017;</ref><ref type="bibr">Mao et al. 2021)</ref>. The low star formation rates of the Local Group satellites compared to other L &#8676; satellite populations may indicate different local environmental conditions shaping the Milky Way that ultimately manifest as di&#8629;erent CGM properties. What's more, satellites as massive as the Milky Way's SMC/LMC are not typically found around lowredshift galaxies <ref type="bibr">(Tollerud et al. 2011;</ref><ref type="bibr">Liu et al. 2011;</ref><ref type="bibr">James &amp; Ivory 2011)</ref>. The Milky Way is expected to merge with the LMC in &#8672;2.4 Gyr <ref type="bibr">(Cautun et al. 2019)</ref>, an event that will undoubtedly disrupt circumgalactic gas. After this significant interaction, the global properties of the Milky Way's CGM may better match those of nearby star-forming galaxies.</p><p>Generally, CGM covering fractions of a range of ionized and neutral gas tracers are lower in cluster environments compared to isolated galaxies <ref type="bibr">(Yoon &amp; Putman 2013;</ref><ref type="bibr">Pointon et al. 2017;</ref><ref type="bibr">Zhang et al. 2019</ref>), but assessing the nature and impact of small group environments is more di cult. In particular, data cannot yet distinguish between gas associated with an intragroup medium and the CGM of a massive halo <ref type="bibr">(Stocke et al. 2017</ref><ref type="bibr">(Stocke et al. , 2019))</ref>. It is therefore possible that our anomalously low C iv covering fractions and median column densities are simply indicative of a hotter intragroup medium relatively devoid of C iv compared to other more "typical" L &#8676; environments. The somewhat low C iv column densities measured within 0.5 R/R vir of M31 relative to the CGM of other nearby galaxies, evident in Figure <ref type="figure">5</ref> (yellow diamonds), may lend support to the idea that both the Milky Way and M31 reside in an environment with a depleted C iv -traced gaseous reservoir. However, the AMIGA survey reports a C iv covering fraction of approximately 50% (with a threshold column density of log N CIV = 13.8) within 150 kpc of M31 <ref type="bibr">(Lehner et al. 2020)</ref>, significantly higher than what we find around the Milky Way and roughly consistent with results for other nearby L &#8676; galaxies.</p><p>To make progress in our understanding, more observations of the low-velocity CGM will be needed. Sightlines at low Galactic latitudes in particular are important for constraining the morphology of the low-velocity CGM and testing the idea that warm gas is hidden in an extended, flared disk. HST/COS is the best available instrument for observing UV absorption lines of warm gas, and it allows us to map ions like C iv and Si iv . Additional measurements of these ions in the CGM of low-redshift, Milky Way-like galaxies will be key for making robust comparisons with the Milky Way. Although there are no concrete plans to bring new, highly-sensitive, high-resolution spectrographs online with wavelength coverage in the FUV, it will be necessary to measure ions that trace other gas phases to bring a complete picture of the low-velocity CGM into focus.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="6.">SUMMARY</head><p>The QuaStar survey has enabled the first measurements of the Milky Way's low-velocity CGM (|v| &lt; 150 km/s) that are unobscured by foreground gas in the disk. We measured C iv column densities along sightlines to 30 halo stars (d &#8672; 8 kpc) paired with quasars at small angular separations (&lt; 2.8 ), evenly sampling the sky at Galactic latitudes |b| &gt; 30 ( &#167;2; Figure <ref type="figure">1</ref>). Applying a spectral di&#8629;erencing technique, we isolated Milky Way CGM absorption in each quasar spectrum by subtracting the foreground gas absorption measured in its paired stellar spectrum to obtain a "di&#8629;erence measurement" logN LVCGM ( &#167;3; Figure <ref type="figure">2</ref>). Our main results are as follows:</p><p>1. We detect low-velocity (|v| &lt; 150 km/s) C iv in the Milky Way's CGM for 6/30 sightline pairs, place an upper limit of logN LVCGM &lt; 13.39 cm 2 on the median column density, and report a covering fraction of f CIV,LVCGM (logN&gt;13.65) = 20% [6/30]. Within a wider velocity range that includes the Magellanic System (|v| &lt; 300 km/s), we detect C iv for 10/30 sightline pairs, place an upper limit of logN&lt; 13.56 cm 2 on the median column density and report a covering fraction of f CIV,CGM (logN&gt;13.65) = 38% [9/24]. A total of 96% of the additional absorption detected in this wider velocity window likely originates in the Magellanic System. Accounting for the existence of foreground substructure with angular scales below our sightline separations further reduces these two covering fractions to 10% and 25%, respectively. ( &#167;3, &#167;4, and &#167;5.1; Figures <ref type="figure">2</ref> and<ref type="figure">4</ref>)</p><p>2. The covering fraction of low-velocity C iv in the Milky Way's CGM is markedly lower than observations of other L &#8676; galaxies. Although it is possible that the Milky Way represents an anomaly, the di&#8629;ering geometric viewing e&#8629;ects of the Milky Way and external galaxies allow for the possibility that the warm, low-velocity CGM of L &#8676; galaxies exhibits a flared-disk morphology. QuaStar's "inside-out" observations of the Milky Way at high latitudes would not probe such a structure, while "outside-in" sightlines with various orientations would be more likely to detect it in external galaxies. Alternatively, it is possible that the Milky Way's CGM is uniquely a&#8629;ected by environment, or has begun the process of quenching and thus appears di&#8629;erent from typical star-forming galaxies. ( &#167;5; Figures <ref type="figure">5</ref> and<ref type="figure">6</ref>) </p></div></body>
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