How to optimally constrain galaxy assembly bias: supplement projected correlation functions with count-in-cells statistics
Abstract
ABSTRACT Most models for the statistical connection between galaxies and their haloes ignore the possibility that galaxy properties may be correlated with halo properties other than halo mass, a phenomenon known as galaxy assembly bias. And yet, it is known that such correlations can lead to systematic errors in the interpretation of survey data that are analysed using traditional halo occupation models. At present, the degree to which galaxy assembly bias may be present in the real Universe, and the best strategies for constraining it remain uncertain. We study the ability of several observables to constrain galaxy assembly bias from redshift survey data using the decorated halo occupation distribution (dHOD), an empirical model of the galaxy–halo connection that incorporates assembly bias. We cover an expansive set of observables, including the projected two-point correlation function $$w$$p(rp), the galaxy–galaxy lensing signal ΔΣ(rp), the void probability function VPF(r), the distributions of counts-in-cylinders P(NCIC), and counts-in-annuli P(NCIA), and the distribution of the ratio of counts in cylinders of different sizes P(N2/N5). We find that despite the frequent use of the combination $$w$$p(rp) + ΔΣ(rp) in interpreting galaxy data, the count statistics, P(NCIC) and P(NCIA), are generally more efficient in constraining galaxy assembly bias when combined with $$w$$p(rp). Constraints based upon $$w$$p(rp) and ΔΣ(rp) share common degeneracy directions in the parameter space, while combinations of $$w$$p(rp) with the count statistics are more complementary. Therefore, we strongly suggest that count statistics should be used to complement the canonical observables in future studies of the galaxy–halo connection.
- Authors:
-
- Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA, Pittsburgh Particle Physics, Astrophysics, and Cosmology Center (PITT PACC), University of Pittsburgh, Pittsburgh, PA 15260, USA
- Department of Astronomy, Yale University, PO Box 208101, New Haven, CT 06511, USA
- Department of Statistics & Data Science, Carnegie Mellon University, Pittsburgh, PA 15213, USA, McWilliams Center for Cosmology, Carnegie Mellon University, Pittsburgh, PA 15213, USA
- Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA, Argonne National Laboratory, Argonne, IL 60539, USA
- Argonne National Laboratory, Argonne, IL 60539, USA
- McWilliams Center for Cosmology, Carnegie Mellon University, Pittsburgh, PA 15213, USA, Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1545973
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Published Article
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 488 Journal Issue: 3; Journal ID: ISSN 0035-8711
- Publisher:
- Oxford University Press
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Wang, Kuan, Mao, Yao-Yuan, Zentner, Andrew R., van den Bosch, Frank C., Lange, Johannes U., Schafer, Chad M., Villarreal, Antonia Sierra, Hearin, Andrew P., and Campbell, Duncan. How to optimally constrain galaxy assembly bias: supplement projected correlation functions with count-in-cells statistics. United Kingdom: N. p., 2019.
Web. doi:10.1093/mnras/stz1733.
Wang, Kuan, Mao, Yao-Yuan, Zentner, Andrew R., van den Bosch, Frank C., Lange, Johannes U., Schafer, Chad M., Villarreal, Antonia Sierra, Hearin, Andrew P., & Campbell, Duncan. How to optimally constrain galaxy assembly bias: supplement projected correlation functions with count-in-cells statistics. United Kingdom. https://doi.org/10.1093/mnras/stz1733
Wang, Kuan, Mao, Yao-Yuan, Zentner, Andrew R., van den Bosch, Frank C., Lange, Johannes U., Schafer, Chad M., Villarreal, Antonia Sierra, Hearin, Andrew P., and Campbell, Duncan. Tue .
"How to optimally constrain galaxy assembly bias: supplement projected correlation functions with count-in-cells statistics". United Kingdom. https://doi.org/10.1093/mnras/stz1733.
@article{osti_1545973,
title = {How to optimally constrain galaxy assembly bias: supplement projected correlation functions with count-in-cells statistics},
author = {Wang, Kuan and Mao, Yao-Yuan and Zentner, Andrew R. and van den Bosch, Frank C. and Lange, Johannes U. and Schafer, Chad M. and Villarreal, Antonia Sierra and Hearin, Andrew P. and Campbell, Duncan},
abstractNote = {ABSTRACT Most models for the statistical connection between galaxies and their haloes ignore the possibility that galaxy properties may be correlated with halo properties other than halo mass, a phenomenon known as galaxy assembly bias. And yet, it is known that such correlations can lead to systematic errors in the interpretation of survey data that are analysed using traditional halo occupation models. At present, the degree to which galaxy assembly bias may be present in the real Universe, and the best strategies for constraining it remain uncertain. We study the ability of several observables to constrain galaxy assembly bias from redshift survey data using the decorated halo occupation distribution (dHOD), an empirical model of the galaxy–halo connection that incorporates assembly bias. We cover an expansive set of observables, including the projected two-point correlation function $w$p(rp), the galaxy–galaxy lensing signal ΔΣ(rp), the void probability function VPF(r), the distributions of counts-in-cylinders P(NCIC), and counts-in-annuli P(NCIA), and the distribution of the ratio of counts in cylinders of different sizes P(N2/N5). We find that despite the frequent use of the combination $w$p(rp) + ΔΣ(rp) in interpreting galaxy data, the count statistics, P(NCIC) and P(NCIA), are generally more efficient in constraining galaxy assembly bias when combined with $w$p(rp). Constraints based upon $w$p(rp) and ΔΣ(rp) share common degeneracy directions in the parameter space, while combinations of $w$p(rp) with the count statistics are more complementary. Therefore, we strongly suggest that count statistics should be used to complement the canonical observables in future studies of the galaxy–halo connection.},
doi = {10.1093/mnras/stz1733},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 3,
volume = 488,
place = {United Kingdom},
year = {2019},
month = {6}
}
https://doi.org/10.1093/mnras/stz1733
Web of Science
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Halo Occupation Distribution Modeling of Clustering of Luminous red Galaxies
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Redshift-space clustering of SDSS galaxies – luminosity dependence, halo occupation distribution, and velocity bias
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Constraining the Luminous red Galaxy halo Occupation Distribution Using Counts-In-Cylinders
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The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Release 9 spectroscopic galaxy sample
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The Scale Dependence of Relative Galaxy Bias: Encouragement for the “Halo Model” Description
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The Dark Side of the Halo Occupation Distribution
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Constraints on the Relationship Between Stellar mass and halo mass at low and high Redshift
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SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL INTERPRETATION
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Cosmological constraints from a combination of galaxy clustering and lensing – III. Application to SDSS data
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The Dependence on Environment of the Color-Magnitude Relation of Galaxies
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Beyond assembly bias: exploring secondary halo biases for cluster-size haloes
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Concentrations of Dark Halos from Their Assembly Histories
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The importance of satellite quenching for the build-up of the red sequence of present-day galaxies
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Satellite galaxy number density profiles in the Sloan Digital Sky Survey: Satellite number density profiles
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Galaxy Clustering in the Completed sdss Redshift Survey: the Dependence on Color and Luminosity
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Maturing satellite kinematics into a competitive probe of the galaxy–halo connection
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Gravitationally Consistent halo Catalogs and Merger Trees for Precision Cosmology
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The Rockstar Phase-Space Temporal halo Finder and the Velocity Offsets of Cluster Cores
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The scale-dependence of halo assembly bias
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Linking early- and late-type galaxies to their dark matter haloes
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The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
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SDSS galaxy bias from halo mass-bias relation and its cosmological implications
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Connecting massive galaxies to dark matter haloes in BOSS – I. Is galaxy colour a stochastic process in high-mass haloes?
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The Excursion set Theory of halo mass Functions, halo Clustering, and halo Growth
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Halo assembly bias and its effects on galaxy clustering
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The Systematic Properties of Clusters of Galaxies. Photometry of 15 Clusters
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The Equatorial Disk at the Center of the PN CPD-568032
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Investigating the Properties of a Sample Mean by Employing Random Subsample Means
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Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
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