Mapping stellar content to dark matter haloes using galaxy clustering and galaxy–galaxy lensing in the SDSS DR7

By Y. Zu, Rachel Mandelbaum. 2015

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The mapping between the distributions of the observed galaxy stellar mass and the underlying dark matter halos provides the crucial link from theories of large‐scale structure formation to interpreting the complex phenomena of galaxy formation and evolution. We develop a novel statistical method, based on the Halo Occupation Distribution model (HOD), to solve for this mapping by jointly fitting the galaxy clustering and the galaxy-galaxy lensing measured from the Sloan Digital Sky Survey (SDSS). The method, called the iHOD model, extracts maximum information from the survey by including 80% more galaxies than the traditional HOD methods, and takes into account the incompleteness of the stellar mass samples in a statistically consistent manner. The derived stellar-to-halo mass relation not only explains the clustering and lensing of SDSS galaxies over almost four decades in stellar mass, but also successfully predicts the stellar mass functions observed in SDSS. Due to its capability of modelling significantly more galaxies, the iHOD is able to break the degeneracy between the logarithmic scatter in the stellar mass at fixed halo mass and the slope of the stellar-to-halo mass relation at high mass end, without the need to assume a strong prior on the scatter and/or use the stellar mass function as an input. We detect a decline of the scatter with halo mass, from 0:22 +0:02 0:01 dex at below 10 12 h 1 M to 0:18 0:01 dex at 10 14 h 1 M . The model also enables stringent constraints on the satellite stellar mass functions at fixed halo mass, predicting a departure from the Schechter functional form in high mass halos. The iHOD model can be easily applied to existing and future spectroscopic datasets, greatly improving the statistical constraint on the stellar-to-halo mass relation compared to the traditional HOD methods within the same survey.

Subfields: Astronomy and Astrophysics, Computer Vision and Pattern Recognition, Ecology

View Paper: https://www.semanticscholar.org/paper/f1351e56fedf62512bbd1f47c34e9e7895344c4c

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Citations in the corpus

THE SMALL SCATTER OF THE BARYONIC TULLY–FISHER RELATION (2015, background): “The M∗ − M200 relation, proxy of a more fundamental Mb −M200 relation, has an estimated scatter of ∼0.1-0.2 dex (Moster et al. 2013; Zu & Mandelbaum 2015), driving scatter on fbar.”
The DESI Bright Galaxy Survey: Final Target Selection, Design, and Validation (2022, background): “It will also enable studies of galaxy groups (Eke et al. 2004), the connection between galaxies and dark matter (Tinker et al. 2011; Zu & Mandelbaum 2015; Xu et al. 2018), and the environmentdependent luminosity function (McNaught-Roberts et al. 2014; Eardley et al. 2015; Fang et al. 2019).”
Gravitational probes of dark matter physics (2017, background): “[359, 560]) applied to the next generation of deep wide-field surveys (Table 1 optical survey list) [484, 482, 516, 472, 485, 483].”
Target Selection and Validation of DESI Luminous Red Galaxies (2022, methodology): “In order to accurately model galaxy clustering (e.g., Zu & Mandelbaum 2015; Zhou et al. 2021) and study galaxy–galaxy lensing (e.g., Alam et al. 2017; Jullo et al. 2019), halo occupation distribution (e.g., Rodríguez-Torres et al. 2016), and evolution of the most massive galaxies (e.g., Bundy et…”
Lensing is Low: Cosmology, Galaxy Formation, or New Physics? (2016, background): “…probes are increasingly popular for studies of the galaxy halo connection (e.g. Mandelbaum et al. 2006a; Leauthaud et al. 2012; Coupon et al. 2015; Zu & Mandelbaum 2015), to constrain cosmological parameters (e.g. Yoo et al. 2006; Cacciato et al. 2009, 2013; Mandelbaum et al. 2013; More et al.…”
KiDS+GAMA : cosmology constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing, and angular clustering (2017, background): “However, values a bit larger than unity are typical for samples selected in luminosity or stellar mass bins close to the mean of our sample (e.g. Zehavi et al. 2011; Zu & Mandelbaum 2015; Crocce et al. 2016).”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: modelling the clustering and halo occupation distribution of BOSS CMASS galaxies in the Final Data Release (2015, background): “Zu & Mandelbaum (2015) present a modified HOD in order to include the stellar mass incompleteness (iHOD).”
First results from the IllustrisTNG simulations: matter and galaxy clustering (2017, background): “We note that some of the most recent empiric models for galaxy formation (Zu & Mandelbaum 2015; van Daalen et al. 2016; Moster, Naab & White 2017) actually employ galaxy clustering data as an input constraint, thereby limiting their ability to predict large-scale structure observables.”
The BAHAMAS project: Calibrated hydrodynamical simulations for large-scale structure cosmology (2016, methodology): “The black dashed curve shows the HOD modelling results of Zu & Mandelbaum (2015) for SDSS data (see also Leauthaud et al. 2012 for HOD modelling of COSMOS data, which yields very similar results), where their HOD models have been constrained to reproduce the observed 11 The relatively low…”