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Title: The Aemulus Project. III. Emulation of the Galaxy Correlation Function

Abstract

Using the N-body simulations of the AEMULUS Project, we construct an emulator for the nonlinear clustering of galaxies in real and redshift space. We construct our model of galaxy bias using the halo occupation framework, accounting for possible velocity bias. The model includes 15 parameters, including both cosmological and galaxy bias parameters. We demonstrate that our emulator achieves ~1% precision at the scales of interest, 0.1 h -1 Mpc < r < 10 h -1 Mpc, and recovers the true cosmology when tested against independent simulations. Our primary parameters of interest are related to the growth rate of structure, ƒ, and its degenerate combination, ƒσ 8. Using this emulator, we show that the constraining power on these parameters monotonically increases as smaller scales are included in the analysis, all the way down to 0.1 h -1 Mpc. For a BOSS-like survey, the constraints on ƒσ 8 from r < 30 h -1 Mpc scales alone are nearly a factor of two tighter than those from the fiducial BOSS analysis of redshift-space clustering using perturbation theory at larger scales. The combination of real- and redshift-space clustering allows us to break the degeneracy between ƒ and σ 8, yielding an 11% constraintmore » on ƒ alone for a BOSSlike analysis. The current AEMULUS simulations limit this model to surveys of massive galaxies. Future simulations will allow this framework to be extended to all galaxy target types, including emission-line galaxies« less

Authors:
; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1571279
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Astrophysical Journal
Additional Journal Information:
Journal Volume: 874; Journal Issue: 1; Journal ID: ISSN 0004-637X
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
methods: statistical; large-scale structure of universe; methods: numerical

Citation Formats

Zhai, Zhongxu, Tinker, Jeremy L., Becker, Matthew R., DeRose, Joseph, Mao, Yao-Yuan, McClintock, T., McLaughlin, Sean, Rozo, E., and Wechsler, Risa H. The Aemulus Project. III. Emulation of the Galaxy Correlation Function. United States: N. p., 2019. Web. doi:10.3847/1538-4357/ab0d7b.
Zhai, Zhongxu, Tinker, Jeremy L., Becker, Matthew R., DeRose, Joseph, Mao, Yao-Yuan, McClintock, T., McLaughlin, Sean, Rozo, E., & Wechsler, Risa H. The Aemulus Project. III. Emulation of the Galaxy Correlation Function. United States. doi:10.3847/1538-4357/ab0d7b.
Zhai, Zhongxu, Tinker, Jeremy L., Becker, Matthew R., DeRose, Joseph, Mao, Yao-Yuan, McClintock, T., McLaughlin, Sean, Rozo, E., and Wechsler, Risa H. Wed . "The Aemulus Project. III. Emulation of the Galaxy Correlation Function". United States. doi:10.3847/1538-4357/ab0d7b.
@article{osti_1571279,
title = {The Aemulus Project. III. Emulation of the Galaxy Correlation Function},
author = {Zhai, Zhongxu and Tinker, Jeremy L. and Becker, Matthew R. and DeRose, Joseph and Mao, Yao-Yuan and McClintock, T. and McLaughlin, Sean and Rozo, E. and Wechsler, Risa H.},
abstractNote = {Using the N-body simulations of the AEMULUS Project, we construct an emulator for the nonlinear clustering of galaxies in real and redshift space. We construct our model of galaxy bias using the halo occupation framework, accounting for possible velocity bias. The model includes 15 parameters, including both cosmological and galaxy bias parameters. We demonstrate that our emulator achieves ~1% precision at the scales of interest, 0.1h-1 Mpc < r < 10 h-1 Mpc, and recovers the true cosmology when tested against independent simulations. Our primary parameters of interest are related to the growth rate of structure, ƒ, and its degenerate combination, ƒσ8. Using this emulator, we show that the constraining power on these parameters monotonically increases as smaller scales are included in the analysis, all the way down to 0.1 h-1 Mpc. For a BOSS-like survey, the constraints on ƒσ8 from r < 30 h-1 Mpc scales alone are nearly a factor of two tighter than those from the fiducial BOSS analysis of redshift-space clustering using perturbation theory at larger scales. The combination of real- and redshift-space clustering allows us to break the degeneracy between ƒ and σ8, yielding an 11% constraint on ƒ alone for a BOSSlike analysis. The current AEMULUS simulations limit this model to surveys of massive galaxies. Future simulations will allow this framework to be extended to all galaxy target types, including emission-line galaxies},
doi = {10.3847/1538-4357/ab0d7b},
journal = {Astrophysical Journal},
issn = {0004-637X},
number = 1,
volume = 874,
place = {United States},
year = {2019},
month = {3}
}

Works referenced in this record:

Ensemble samplers with affine invariance
journal, January 2010

  • Goodman, Jonathan; Weare, Jonathan
  • Communications in Applied Mathematics and Computational Science, Vol. 5, Issue 1
  • DOI: 10.2140/camcos.2010.5.65

The Baryon Oscillation Spectroscopic Survey of Sdss-Iii
journal, December 2012

  • Dawson, Kyle S.; Schlegel, David J.; Ahn, Christopher P.
  • The Astronomical Journal, Vol. 145, Issue 1
  • DOI: 10.1088/0004-6256/145/1/10

Void Statistics in Large Galaxy Redshift Surveys: Does Halo Occupation of Field Galaxies Depend on Environment?
journal, October 2008

  • Tinker, Jeremy L.; Conroy, Charlie; Norberg, Peder
  • The Astrophysical Journal, Vol. 686, Issue 1
  • DOI: 10.1086/589983

The Coyote Universe. i. Precision Determination of the Nonlinear Matter Power Spectrum
journal, April 2010


Analytic model for galaxy and dark matter clustering
journal, October 2000


The Sdss-Iv Extended Baryon Oscillation Spectroscopic Survey: Overview and Early data
journal, February 2016

  • Dawson, Kyle S.; Kneib, Jean-Paul; Percival, Will J.
  • The Astronomical Journal, Vol. 151, Issue 2
  • DOI: 10.3847/0004-6256/151/2/44

The Structure of Cold Dark Matter Halos
journal, May 1996

  • Navarro, Julio F.; Frenk, Carlos S.; White, Simon D. M.
  • The Astrophysical Journal, Vol. 462
  • DOI: 10.1086/177173

Towards accurate modelling of galaxy clustering on small scales: testing the standard ΛCDM + halo model
journal, April 2018

  • Sinha, Manodeep; Berlind, Andreas A.; McBride, Cameron K.
  • Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
  • DOI: 10.1093/mnras/sty967

A Critique of Rees's Theory of Primordial Gravitational Radiation
journal, February 1972

  • Jackson, J. C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 156, Issue 1
  • DOI: 10.1093/mnras/156.1.1P

Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
journal, October 2007

  • Zheng, Zheng; Coil, Alison L.; Zehavi, Idit
  • The Astrophysical Journal, Vol. 667, Issue 2
  • DOI: 10.1086/521074

On the Mass‐to‐Light Ratio of Large‐Scale Structure
journal, September 2005

  • Tinker, Jeremy L.; Weinberg, David H.; Zheng, Zheng
  • The Astrophysical Journal, Vol. 631, Issue 1
  • DOI: 10.1086/432084

The nature of galaxy bias and clustering
journal, February 2000


The three-point function in large-scale structure: redshift distortions and galaxy bias
journal, August 2005


Modelling the redshift-space three-point correlation function in SDSS-III
journal, March 2015

  • Guo, Hong; Zheng, Zheng; Jing, Y. P.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 449, Issue 1
  • DOI: 10.1093/mnrasl/slv020

Emulating galaxy clustering and galaxy–galaxy lensing into the deeply non-linear regime: methodology, information, and forecasts
journal, August 2018

  • Wibking, Benjamin D.; Salcedo, Andrés N.; Weinberg, David H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 1
  • DOI: 10.1093/mnras/sty2258

Critical look at cosmological perturbation theory techniques
journal, August 2009


A 2.5 per cent measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies
journal, August 2014

  • Reid, Beth A.; Seo, Hee-Jong; Leauthaud, Alexie
  • Monthly Notices of the Royal Astronomical Society, Vol. 444, Issue 1
  • DOI: 10.1093/mnras/stu1391

emcee : The MCMC Hammer
journal, March 2013

  • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
  • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925
  • DOI: 10.1086/670067

Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality
journal, December 2008

  • Tinker, Jeremy; Kravtsov, Andrey V.; Klypin, Anatoly
  • The Astrophysical Journal, Vol. 688, Issue 2
  • DOI: 10.1086/591439

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: the low-redshift sample
journal, December 2012

  • Parejko, John K.; Sunayama, Tomomi; Padmanabhan, Nikhil
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 1
  • DOI: 10.1093/mnras/sts314

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Baryonic Features in the Matter Transfer Function
journal, April 1998

  • Eisenstein, Daniel J.; Hu, Wayne
  • The Astrophysical Journal, Vol. 496, Issue 2
  • DOI: 10.1086/305424

The 2dF Galaxy Redshift Survey: spectra and redshifts
journal, December 2001


The age dependence of halo clustering
journal, October 2005


Cosmic Voids and Galaxy Bias in the Halo Occupation Framework
journal, August 2006

  • Tinker, Jeremy L.; Weinberg, David H.; Warren, Michael S.
  • The Astrophysical Journal, Vol. 647, Issue 2
  • DOI: 10.1086/504795

Extragalactic science, cosmology, and Galactic archaeology with the Subaru Prime Focus Spectrograph
journal, February 2014

  • Takada, Masahiro; Ellis, Richard S.; Chiba, Masashi
  • Publications of the Astronomical Society of Japan, Vol. 66, Issue 1
  • DOI: 10.1093/pasj/pst019

Cosmological Constraints from Galaxy Clustering and the Mass-To-Number Ratio of Galaxy Clusters: Marginalizing over the Physics of Galaxy Formation
journal, February 2014

  • Reddick, Rachel M.; Tinker, Jeremy L.; Wechsler, Risa H.
  • The Astrophysical Journal, Vol. 783, Issue 2
  • DOI: 10.1088/0004-637X/783/2/118

On the environmental dependence of halo formation
journal, June 2004


The Sloan Digital Sky Survey: Technical Summary
journal, September 2000

  • York, Donald G.; Adelman, J.; Anderson, Jr., John E.
  • The Astronomical Journal, Vol. 120, Issue 3
  • DOI: 10.1086/301513

MultiDark simulations: the story of dark matter halo concentrations and density profiles
journal, February 2016

  • Klypin, Anatoly; Yepes, Gustavo; Gottlöber, Stefan
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 4
  • DOI: 10.1093/mnras/stw248

The WiggleZ Dark Energy Survey: survey design and first data release
journal, January 2010

  • Drinkwater, Michael J.; Jurek, Russell J.; Blake, Chris
  • Monthly Notices of the Royal Astronomical Society, Vol. 401, Issue 3
  • DOI: 10.1111/j.1365-2966.2009.15754.x

Cosmological Constraints from Galaxy Clustering and the Mass-To-Number Ratio of Galaxy Clusters
journal, December 2011

  • Tinker, Jeremy L.; Sheldon, Erin S.; Wechsler, Risa H.
  • The Astrophysical Journal, Vol. 745, Issue 1
  • DOI: 10.1088/0004-637X/745/1/16

Clustering in the 1.2-Jy IRAS Galaxy Redshift Survey - I. The redshift and real space correlation functions*
journal, January 1994

  • Fisher, K. B.; Davis, M.; Strauss, M. A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 266, Issue 1
  • DOI: 10.1093/mnras/266.1.50

The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
journal, December 2013


Cosmic Emulation: fast Predictions for the Galaxy Power Spectrum
journal, August 2015


A marked correlation function analysis of halo formation times in the Millennium Simulation
journal, April 2006


Halo models of large scale structure
journal, December 2002


Halo occupation numbers and galaxy bias
journal, November 2000


THE CLUSTERING OF MASSIVE GALAXIES AT z ∼ 0.5 FROM THE FIRST SEMESTER OF BOSS DATA
journal, January 2011


The Halo Model and Numerical Simulations
journal, April 2001

  • White, Martin; Hernquist, Lars; Springel, Volker
  • The Astrophysical Journal, Vol. 550, Issue 2
  • DOI: 10.1086/319644

Galaxy Clustering in the Completed sdss Redshift Survey: the Dependence on Color and Luminosity
journal, July 2011


A survey of galaxy redshifts. V - The two-point position and velocity correlations
journal, April 1983

  • Davis, M.; Peebles, P. J. E.
  • The Astrophysical Journal, Vol. 267
  • DOI: 10.1086/160884

Dark Matter Halos in the Standard Cosmological Model: Results from the Bolshoi Simulation
journal, October 2011

  • Klypin, Anatoly A.; Trujillo-Gomez, Sebastian; Primack, Joel
  • The Astrophysical Journal, Vol. 740, Issue 2
  • DOI: 10.1088/0004-637X/740/2/102

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measuring growth rate and geometry with anisotropic clustering
journal, February 2014

  • Samushia, Lado; Reid, Beth A.; White, Martin
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 4
  • DOI: 10.1093/mnras/stu197

Fast Direct Methods for Gaussian Processes
journal, February 2016

  • Ambikasaran, Sivaram; Foreman-Mackey, Daniel; Greengard, Leslie
  • IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 38, Issue 2
  • DOI: 10.1109/TPAMI.2015.2448083

The Seventh data Release of the Sloan Digital sky Survey
journal, May 2009

  • Abazajian, Kevork N.; Adelman-McCarthy, Jennifer K.; Agüeros, Marcel A.
  • The Astrophysical Journal Supplement Series, Vol. 182, Issue 2
  • DOI: 10.1088/0067-0049/182/2/543

The Clustering of Luminous Red Galaxies at z ∼ 0.7 from EBOSS and BOSS Data
journal, October 2017

  • Zhai, Zhongxu; Tinker, Jeremy L.; Hahn, ChangHoon
  • The Astrophysical Journal, Vol. 848, Issue 2
  • DOI: 10.3847/1538-4357/aa8eee

Convolution Lagrangian perturbation theory for biased tracers
journal, December 2012

  • Carlson, Jordan; Reid, Beth; White, Martin
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 2
  • DOI: 10.1093/mnras/sts457

The Halo Occupation Distribution: Toward an Empirical Determination of the Relation between Galaxies and Mass
journal, August 2002

  • Berlind, Andreas A.; Weinberg, David H.
  • The Astrophysical Journal, Vol. 575, Issue 2
  • DOI: 10.1086/341469

The Coyote Universe. ii. Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
journal, October 2009


The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
journal, November 2006

  • Wechsler, Risa H.; Zentner, Andrew R.; Bullock, James S.
  • The Astrophysical Journal, Vol. 652, Issue 1
  • DOI: 10.1086/507120

Matplotlib: A 2D Graphics Environment
journal, January 2007


The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications
journal, September 2005


Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
journal, November 2005

  • Zheng, Zheng; Berlind, Andreas A.; Weinberg, David H.
  • The Astrophysical Journal, Vol. 633, Issue 2
  • DOI: 10.1086/466510

Clustering in real space and in redshift space
journal, July 1987

  • Kaiser, Nick
  • Monthly Notices of the Royal Astronomical Society, Vol. 227, Issue 1
  • DOI: 10.1093/mnras/227.1.1

The NumPy Array: A Structure for Efficient Numerical Computation
journal, March 2011

  • van der Walt, Stéfan; Colbert, S. Chris; Varoquaux, Gaël
  • Computing in Science & Engineering, Vol. 13, Issue 2
  • DOI: 10.1109/MCSE.2011.37

The Aemulus Project. II. Emulating the Halo Mass Function
journal, February 2019

  • McClintock, Thomas; Rozo, Eduardo; Becker, Matthew R.
  • The Astrophysical Journal, Vol. 872, Issue 1
  • DOI: 10.3847/1538-4357/aaf568

Gaussian covariance matrices for anisotropic galaxy clustering measurements
journal, February 2016

  • Grieb, Jan Niklas; Sánchez, Ariel G.; Salazar-Albornoz, Salvador
  • Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
  • DOI: 10.1093/mnras/stw065

The Coyote Universe. iii. Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
journal, April 2010