Constraining the Stellar-to-Halo Mass Relation with Galaxy Clustering and Weak Lensing from DES Year 3 Data

We develop a framework to study the relation between the stellar mass of a galaxy and the total mass of its host dark matter halo using galaxy clustering and galaxy-galaxy lensing measurements. We model a wide range of scales, roughly from to , using a theoretical framework based on the Halo Occupation Distribution and data from Year 3 of the Dark Energy Survey (DES) dataset. The new advances of this work include: 1) the generation and validation of a new stellar mass-selected galaxy sample in the range of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mo>⋆</mml:mo> </mml:msub> <mml:mi>/</mml:mi> <mml:msub> <mml:mi>M</mml:mi> <mml:mo>⊙</mml:mo> </mml:msub> <mml:mo>∼</mml:mo> <mml:mn>9.6</mml:mn> </mml:mrow> </mml:math> to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>∼</mml:mo> <mml:mn>11.5</mml:mn> </mml:mrow> </mml:math> ; 2) the joint-modeling framework of galaxy clustering and galaxy-galaxy lensing that is able to describe our stellar mass-selected sample deep into the 1-halo regime; and 3) stellar-to-halo mass relation (SHMR) constraints from this dataset. In general, our SHMR constraints agree well with existing literature with various weak lensing measurements. We constrain the free parameters in the SHMR functional form <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mo>⋆</mml:mo> </mml:msub> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>h</mml:mi> </mml:msub> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mi>ϵ</mml:mi> <mml:msub> <mml:mi>M</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">[</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>h</mml:mi> </mml:msub> <mml:mi>/</mml:mi> <mml:msub> <mml:mi>M</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">]</mml:mo> </mml:mrow> <mml:mo>−</mml:mo> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>≡</mml:mo> <mml:mo>−</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mi>α</mml:mi> <mml:mi>x</mml:mi> </mml:mrow> </mml:msup> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:mi>δ</mml:mi> <mml:msup> <mml:mrow> <mml:mo stretchy="true" form="prefix">[</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mo>exp</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">]</mml:mo> </mml:mrow> <mml:mi>γ</mml:mi> </mml:msup> <mml:mi>/</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">[</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mo>exp</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mi>x</mml:mi> </mml:mrow> </mml:msup> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">]</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , to be <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>=</mml:mo> <mml:msubsup> <mml:mn>11.506</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.404</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.325</mml:mn> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:mi>ϵ</mml:mi> <mml:mo>=</mml:mo> <mml:mo>−</mml:mo> <mml:msubsup> <mml:mn>1.632</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.181</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.306</mml:mn> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>α

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Journal
The Open Journal of Astrophysics
Published
2026-01-08
DOI
https://doi.org/10.33232/001c.155046
Primary Topic
Astronomy and Astrophysical Research
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article
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article

Constraining the Stellar-to-Halo Mass Relation with Galaxy Clustering and Weak Lensing from DES Year 3 Data

A. Roodman, L. F. Secco, S. Everett, W.G Hartley et al.
The Open Journal of Astrophysics
Astronomy and Astrophysical Research
article

Constraining the Stellar-to-Halo Mass Relation with Galaxy Clustering and Weak Lensing from DES Year 3 Data

A. Roodman, L. F. Secco, S. Everett, W.G Hartley, M. Gatti, B. Yin, I. Harrison, M. R. Becker, G. Giannini, R Chen, D. Gruen, J. Prat, E. Sheldon, A. Amon, K. Eckert, J. Myles, Eric Huff, Hung-Jin Huang, J. Zuntz, O. Alves, Xiao Fang, Y. Zhang, I. Tutusaus, N. MacCrann, R.A Gruendl, G. M. Bernstein, E. S. Rykoff, E. Krause, A.N Alsina, Scott Dodelson, P. F. Leget, T. Shin, J. Elvin-Poole, J. McCullough, K. Bechtol, T. F. Eifler, A. Campos, Ashley J. Ross, A. Carnero Rosell, Sunil Mucesh, Georgios Zacharegkas, Marco Raveri, N. Kuropatkin, A. Ferté, Mike Jarvis, J. Blazek, A. Drlica-Wagner, C. Sánchez, Shivam Pandey, A. Choi, C. L. Chang, A. Alarcon, R. P. Rollins, H. T. Diehl, C. Doux, R. Cawthon, I. Sevilla-Noarbe, M.A Troxel, M. Carrasco Kind, B Yanny, J. Cordero, C. Davis, J. DeRose
article en

Abstract

We develop a framework to study the relation between the stellar mass of a galaxy and the total mass of its host dark matter halo using galaxy clustering and galaxy-galaxy lensing measurements. We model a wide range of scales, roughly from to , using a theoretical framework based on the Halo Occupation Distribution and data from Year 3 of the Dark Energy Survey (DES) dataset. The new advances of this work include: 1) the generation and validation of a new stellar mass-selected galaxy sample in the range of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mo>⋆</mml:mo> </mml:msub> <mml:mi>/</mml:mi> <mml:msub> <mml:mi>M</mml:mi> <mml:mo>⊙</mml:mo> </mml:msub> <mml:mo>∼</mml:mo> <mml:mn>9.6</mml:mn> </mml:mrow> </mml:math> to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>∼</mml:mo> <mml:mn>11.5</mml:mn> </mml:mrow> </mml:math> ; 2) the joint-modeling framework of galaxy clustering and galaxy-galaxy lensing that is able to describe our stellar mass-selected sample deep into the 1-halo regime; and 3) stellar-to-halo mass relation (SHMR) constraints from this dataset. In general, our SHMR constraints agree well with existing literature with various weak lensing measurements. We constrain the free parameters in the SHMR functional form <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mo>⋆</mml:mo> </mml:msub> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>h</mml:mi> </mml:msub> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mi>ϵ</mml:mi> <mml:msub> <mml:mi>M</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">[</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>h</mml:mi> </mml:msub> <mml:mi>/</mml:mi> <mml:msub> <mml:mi>M</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">]</mml:mo> </mml:mrow> <mml:mo>−</mml:mo> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>≡</mml:mo> <mml:mo>−</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mi>α</mml:mi> <mml:mi>x</mml:mi> </mml:mrow> </mml:msup> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:mi>δ</mml:mi> <mml:msup> <mml:mrow> <mml:mo stretchy="true" form="prefix">[</mml:mo> <mml:mo>log</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mo>exp</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">]</mml:mo> </mml:mrow> <mml:mi>γ</mml:mi> </mml:msup> <mml:mi>/</mml:mi> <mml:mrow> <mml:mo stretchy="true" form="prefix">[</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mo>exp</mml:mo> <mml:mrow> <mml:mo stretchy="true" form="prefix">(</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mi>x</mml:mi> </mml:mrow> </mml:msup> <mml:mo stretchy="true" form="postfix">)</mml:mo> </mml:mrow> <mml:mo stretchy="true" form="postfix">]</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , to be <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>=</mml:mo> <mml:msubsup> <mml:mn>11.506</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.404</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.325</mml:mn> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mo>log</mml:mo> <mml:mi>ϵ</mml:mi> <mml:mo>=</mml:mo> <mml:mo>−</mml:mo> <mml:msubsup> <mml:mn>1.632</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.181</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.306</mml:mn> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>α

The Open Journal of AstrophysicsVol. 9
University of Geneva (CH), California Institute of Technology (US), Argonne National Laboratory (US), Goddard Space Flight Center (US), Fermi National Accelerator Laboratory (US), University of Arizona (US), University of Waterloo (CA), University of Illinois Urbana-Champaign (US), Universidad de La Laguna (ES), Duke University (US), Universidade Estadual de Campinas (UNICAMP) (BR), Brookhaven National Laboratory (US), Princeton University (US), University of Michigan (US), SLAC National Accelerator Laboratory (US), University of Manchester (GB), California University of Pennsylvania (US), Sorbonne Université (FR), University of Chicago (US), Institut d'Estudis Espacials de Catalunya (ES), Excellence Cluster Origins (DE), Laboratoire de Physique Nucléaire et de Hautes Énergies (FR), Instituto de Astrofísica de Canarias (ES), Laboratoire de Physique Subatomique et de Cosmologie (FR), NSF NOIRLab (US), Laboratório Interinstitucional de e-Astronomia (BR), Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (ES), Laboratoire Médiations (FR), Institut des langues et cultures d'Europe, Amérique, Afrique, Asie et Australie (FR), University College London (GB), The Ohio State University (US), William Jewell College (US), University of Portsmouth (GB), Universitat de Barcelona (ES), Carnegie Mellon University (US), Ludwig-Maximilians-Universität München (DE), University of Genoa (IT), KTH Royal Institute of Technology (SE), Universidad del Noreste (MX), Universidade Estadual Paulista (Unesp) (BR), Université Grenoble Alpes (FR), Stanford University (US), University of Edinburgh (GB)
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