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

Abstract

The combination of galaxy–galaxy lensing (GGL) with galaxy clustering is one of the most promising routes to determining the amplitude of matter clustering at low redshifts. Here, we show that extending clustering+GGL analyses from the linear regime down to |$${\sim } 0.5 \, h^{-1}$$| Mpc scales increases their constraining power considerably, even after marginalizing over a flexible model of non-linear galaxy bias. Using a grid of cosmological N-body simulations, we construct a Taylor-expansion emulator that predicts the galaxy autocorrelation ξ gg( r) and galaxy-matter cross-correlation ξ gm( r) as a function of σ 8, Ω m, and halo occupation distribution (HOD) parameters, which are allowed to vary with large-scale environment to represent possible effects of galaxy assembly bias. We present forecasts for a fiducial case that corresponds to BOSS LOWZ galaxy clustering and SDSS-depth weak lensing (effective source density ~0.3 arcmin -2). Using tangential shear and projected correlation function measurements over |$$0.5 \le r_\mathrm{ p} \le 30 \, h^{-1}$$| Mpc yields a 2 per cent constraint on the parameter combination |$$\sigma _8\Omega _\mathrm{ m}^{0.6}$$|, a factor of two better than a constraint that excludes non-linear scales (|$$r_\mathrm{ p} \gt 2 \, h^{-1}$$| Mpc, |$$4 \, h^{-1}$$| Mpc for γ t, |$w$| p). Much of this improvement comes from the non-linear clustering information, which breaks degeneracies among HOD parameters. Increasing the effective source density to 3 arcmin -2 sharpens the constraint on |$$\sigma _8\Omega _\mathrm{ m}^{0.6}$$| by a further factor of two. With robust modelling into the non-linear regime, low-redshift measurements of matter clustering at the 1-per cent level with clustering+GGL alone are well within reach of current data sets such as those provided by the Dark Energy Survey.

Authors:
ORCiD logo [1];  [1];  [1];  [2];  [2];  [3];  [2];  [4];  [4]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States)
  3. New York Univ., NY (United States)
  4. Univ. of Arizona, Tucson, AZ (United States)
Publication Date:
Research Org.:
Krell Institute, Ames, IA (United States); Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1610360
Grant/Contract Number:  
FG02-97ER25308; SC0013718; DGE-1343012; AST-1516997; AST-1313285; 1228509
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 484; Journal Issue: 1; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; gravitational lensing; cosmological parameters; arge-scale structure of the Universe

Citation Formats

Wibking, Benjamin D., Salcedo, Andrés N., Weinberg, David H., Garrison, Lehman H., Ferrer, Douglas, Tinker, Jeremy, Eisenstein, Daniel, Metchnik, Marc, and Pinto, Philip. Emulating galaxy clustering and galaxy–galaxy lensing into the deeply non-linear regime: methodology, information, and forecasts. United States: N. p., 2018. Web. doi:10.1093/mnras/sty2258.
Wibking, Benjamin D., Salcedo, Andrés N., Weinberg, David H., Garrison, Lehman H., Ferrer, Douglas, Tinker, Jeremy, Eisenstein, Daniel, Metchnik, Marc, & Pinto, Philip. Emulating galaxy clustering and galaxy–galaxy lensing into the deeply non-linear regime: methodology, information, and forecasts. United States. doi:10.1093/mnras/sty2258.
Wibking, Benjamin D., Salcedo, Andrés N., Weinberg, David H., Garrison, Lehman H., Ferrer, Douglas, Tinker, Jeremy, Eisenstein, Daniel, Metchnik, Marc, and Pinto, Philip. Sat . "Emulating galaxy clustering and galaxy–galaxy lensing into the deeply non-linear regime: methodology, information, and forecasts". United States. doi:10.1093/mnras/sty2258. https://www.osti.gov/servlets/purl/1610360.
@article{osti_1610360,
title = {Emulating galaxy clustering and galaxy–galaxy lensing into the deeply non-linear regime: methodology, information, and forecasts},
author = {Wibking, Benjamin D. and Salcedo, Andrés N. and Weinberg, David H. and Garrison, Lehman H. and Ferrer, Douglas and Tinker, Jeremy and Eisenstein, Daniel and Metchnik, Marc and Pinto, Philip},
abstractNote = {The combination of galaxy–galaxy lensing (GGL) with galaxy clustering is one of the most promising routes to determining the amplitude of matter clustering at low redshifts. Here, we show that extending clustering+GGL analyses from the linear regime down to |${\sim } 0.5 \, h^{-1}$| Mpc scales increases their constraining power considerably, even after marginalizing over a flexible model of non-linear galaxy bias. Using a grid of cosmological N-body simulations, we construct a Taylor-expansion emulator that predicts the galaxy autocorrelation ξgg(r) and galaxy-matter cross-correlation ξgm(r) as a function of σ8, Ωm, and halo occupation distribution (HOD) parameters, which are allowed to vary with large-scale environment to represent possible effects of galaxy assembly bias. We present forecasts for a fiducial case that corresponds to BOSS LOWZ galaxy clustering and SDSS-depth weak lensing (effective source density ~0.3 arcmin-2). Using tangential shear and projected correlation function measurements over |$0.5 \le r_\mathrm{ p} \le 30 \, h^{-1}$| Mpc yields a 2 per cent constraint on the parameter combination |$\sigma _8\Omega _\mathrm{ m}^{0.6}$|, a factor of two better than a constraint that excludes non-linear scales (|$r_\mathrm{ p} \gt 2 \, h^{-1}$| Mpc, |$4 \, h^{-1}$| Mpc for γt, |$w$|p). Much of this improvement comes from the non-linear clustering information, which breaks degeneracies among HOD parameters. Increasing the effective source density to 3 arcmin-2 sharpens the constraint on |$\sigma _8\Omega _\mathrm{ m}^{0.6}$| by a further factor of two. With robust modelling into the non-linear regime, low-redshift measurements of matter clustering at the 1-per cent level with clustering+GGL alone are well within reach of current data sets such as those provided by the Dark Energy Survey.},
doi = {10.1093/mnras/sty2258},
journal = {Monthly Notices of the Royal Astronomical Society},
issn = {0035-8711},
number = 1,
volume = 484,
place = {United States},
year = {2018},
month = {8}
}

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Works referenced in this record:

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

Density profiles of galaxy groups and clusters from SDSS galaxy-galaxy weak lensing
journal, October 2006

  • Mandelbaum, Rachel; Seljak, Uroš; Cool, Richard J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 372, Issue 2
  • DOI: 10.1111/j.1365-2966.2006.10906.x

The impact of baryonic processes on the two-point correlation functions of galaxies, subhaloes and matter
journal, April 2014

  • van Daalen, Marcel P.; Schaye, Joop; McCarthy, Ian G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 4
  • DOI: 10.1093/mnras/stu482

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: modelling of the luminosity and colour dependence in the Data Release 10
journal, May 2014

  • Guo, H.; Zheng, Z.; Zehavi, I.
  • Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 3
  • DOI: 10.1093/mnras/stu763

The effects of assembly bias on the inference of matter clustering from galaxy–galaxy lensing and galaxy clustering
journal, April 2018

  • McEwen, Joseph E.; Weinberg, David H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 4
  • DOI: 10.1093/mnras/sty882

CFHTLenS: the Canada–France–Hawaii Telescope Lensing Survey: CFHTLenS
journal, October 2012

  • Heymans, Catherine; Van Waerbeke, Ludovic; Miller, Lance
  • Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 1
  • DOI: 10.1111/j.1365-2966.2012.21952.x

On combining galaxy clustering and weak lensing to unveil galaxy biasing via the halo model: Galaxy biasing in the halo model
journal, September 2012


A Universal Density Profile from Hierarchical Clustering
journal, December 1997

  • Navarro, Julio F.; Frenk, Carlos S.; White, Simon D. M.
  • The Astrophysical Journal, Vol. 490, Issue 2
  • DOI: 10.1086/304888

Dark Energy Survey Year 1 results: Cosmological constraints from cosmic shear
journal, August 2018


Dark Energy Survey year 1 results: Cosmological constraints from galaxy clustering and weak lensing
journal, August 2018


Constraints on the Mass–Richness Relation from the Abundance and Weak Lensing of SDSS Clusters
journal, February 2018

  • Murata, Ryoma; Nishimichi, Takahiro; Takada, Masahiro
  • The Astrophysical Journal, Vol. 854, Issue 2
  • DOI: 10.3847/1538-4357/aaaab8

The weak Lensing Signal and the Clustering of boss Galaxies. ii. Astrophysical and Cosmological Constraints
journal, June 2015

  • More, Surhud; Miyatake, Hironao; Mandelbaum, Rachel
  • The Astrophysical Journal, Vol. 806, Issue 1
  • DOI: 10.1088/0004-637X/806/1/2

The nature of galaxy bias and clustering
journal, February 2000


A Theoretical Framework for Combining Techniques that Probe the link Between Galaxies and dark Matter
journal, August 2011

  • Leauthaud, Alexie; Tinker, Jeremy; Behroozi, Peter S.
  • The Astrophysical Journal, Vol. 738, Issue 1
  • DOI: 10.1088/0004-637X/738/1/45

Galaxy–galaxy lensing estimators and their covariance properties
journal, July 2017

  • Singh, Sukhdeep; Mandelbaum, Rachel; Seljak, Uroš
  • Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 4
  • DOI: 10.1093/mnras/stx1828

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: galaxy clustering measurements in the low-redshift sample of Data Release 11
journal, April 2014

  • Tojeiro, Rita; Ross, Ashley J.; Burden, Angela
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 3
  • DOI: 10.1093/mnras/stu371

Improving initial conditions for cosmological N -body simulations
journal, July 2016

  • Garrison, Lehman H.; Eisenstein, Daniel J.; Ferrer, Douglas
  • Monthly Notices of the Royal Astronomical Society, Vol. 461, Issue 4
  • DOI: 10.1093/mnras/stw1594

Galaxy assembly bias: a significant source of systematic error in the galaxy–halo relationship
journal, August 2014

  • Zentner, Andrew R.; Hearin, Andrew P.; van den Bosch, Frank C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 4
  • DOI: 10.1093/mnras/stu1383

Power Spectrum Covariance of Weak Gravitational Lensing
journal, June 2001

  • Cooray, Asantha; Hu, Wayne
  • The Astrophysical Journal, Vol. 554, Issue 1
  • DOI: 10.1086/321376

An exploration of galaxy–galaxy lensing and galaxy clustering in the Millennium-XXL simulation
journal, June 2015

  • Marian, Laura; Smith, Robert E.; Angulo, Raul E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 451, Issue 2
  • DOI: 10.1093/mnras/stv984

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

Observational probes of cosmic acceleration
journal, September 2013


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


The age dependence of halo clustering
journal, October 2005


Sample Variance Considerations for Cluster Surveys
journal, February 2003

  • Hu, Wayne; Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 584, Issue 2
  • DOI: 10.1086/345846

Power Spectrum Correlations Induced by Nonlinear Clustering
journal, December 1999

  • Scoccimarro, Roman; Zaldarriaga, Matias; Hui, Lam
  • The Astrophysical Journal, Vol. 527, Issue 1
  • DOI: 10.1086/308059

The Abacus Cosmos: A Suite of Cosmological N -body Simulations
journal, June 2018

  • Garrison, Lehman H.; Eisenstein, Daniel J.; Ferrer, Douglas
  • The Astrophysical Journal Supplement Series, Vol. 236, Issue 2
  • DOI: 10.3847/1538-4365/aabfd3

Statistical Properties of X‐Ray Clusters: Analytic and Numerical Comparisons
journal, March 1998

  • Bryan, Greg L.; Norman, Michael L.
  • The Astrophysical Journal, Vol. 495, Issue 1
  • DOI: 10.1086/305262

Cosmological Model Predictions for Weak Lensing: Linear and Nonlinear Regimes
journal, August 1997

  • Jain, Bhuvnesh; Seljak, Uroš
  • The Astrophysical Journal, Vol. 484, Issue 2
  • DOI: 10.1086/304372

On the environmental dependence of halo formation
journal, June 2004


Cosmic Shear Results from the deep lens Survey. ii. full Cosmological Parameter Constraints from Tomography
journal, June 2016


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

Cosmological parameter constraints from galaxy–galaxy lensing and galaxy clustering with the SDSS DR7
journal, April 2013

  • Mandelbaum, Rachel; Slosar, Anže; Baldauf, Tobias
  • Monthly Notices of the Royal Astronomical Society, Vol. 432, Issue 2
  • DOI: 10.1093/mnras/stt572

From Galaxy‐Galaxy Lensing to Cosmological Parameters
journal, November 2006

  • Yoo, Jaiyul; Tinker, Jeremy L.; Weinberg, David H.
  • The Astrophysical Journal, Vol. 652, Issue 1
  • DOI: 10.1086/507591

Accurate and efficient halo-based galaxy clustering modelling with simulations
journal, March 2016

  • Zheng, Zheng; Guo, Hong
  • Monthly Notices of the Royal Astronomical Society, Vol. 458, Issue 4
  • DOI: 10.1093/mnras/stw523

Introducing decorated HODs: modelling assembly bias in the galaxy–halo connection
journal, May 2016

  • Hearin, Andrew P.; Zentner, Andrew R.; van den Bosch, Frank C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 3
  • DOI: 10.1093/mnras/stw840

Lensing is low: cosmology, galaxy formation or new physics?
journal, February 2017

  • Leauthaud, Alexie; Saito, Shun; Hilbert, Stefan
  • Monthly Notices of the Royal Astronomical Society, Vol. 467, Issue 3
  • DOI: 10.1093/mnras/stx258

The Concentration Dependence of the Galaxy–Halo Connection: Modeling Assembly bias with Abundance Matching
journal, December 2016

  • Lehmann, Benjamin V.; Mao, Yao-Yuan; Becker, Matthew R.
  • The Astrophysical Journal, Vol. 834, Issue 1
  • DOI: 10.3847/1538-4357/834/1/37

The accretion history of dark matter haloes – III. A physical model for the concentration–mass relation
journal, July 2015

  • Correa, Camila A.; Wyithe, J. Stuart B.; Schaye, Joop
  • Monthly Notices of the Royal Astronomical Society, Vol. 452, Issue 2
  • DOI: 10.1093/mnras/stv1363

Cosmological constraints from a combination of galaxy clustering and lensing – I. Theoretical framework
journal, February 2013

  • van den Bosch, Frank C.; More, Surhud; Cacciato, Marcello
  • Monthly Notices of the Royal Astronomical Society, Vol. 430, Issue 2
  • DOI: 10.1093/mnras/sts006

Spatial clustering of dark matter haloes: secondary bias, neighbour bias, and the influence of massive neighbours on halo properties
journal, January 2018

  • Salcedo, Andrés N.; Maller, Ariyeh H.; Berlind, Andreas A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 475, Issue 4
  • DOI: 10.1093/mnras/sty109

The Luminosity and Color Dependence of the Galaxy Correlation Function
journal, September 2005

  • Zehavi, Idit; Zheng, Zheng; Weinberg, David H.
  • The Astrophysical Journal, Vol. 630, Issue 1
  • DOI: 10.1086/431891

Cosmological constraints from a combination of galaxy clustering and lensing – III. Application to SDSS data
journal, February 2013

  • Cacciato, Marcello; van den Bosch, Frank C.; More, Surhud
  • Monthly Notices of the Royal Astronomical Society, Vol. 430, Issue 2
  • DOI: 10.1093/mnras/sts525

Sdss-Iii: Massive Spectroscopic Surveys of the Distant Universe, the Milky way, and Extra-Solar Planetary Systems
journal, August 2011

  • Eisenstein, Daniel J.; Weinberg, David H.; Agol, Eric
  • The Astronomical Journal, Vol. 142, Issue 3
  • DOI: 10.1088/0004-6256/142/3/72

Excursion set mass functions for hierarchical Gaussian fluctuations
journal, September 1991

  • Bond, J. R.; Cole, S.; Efstathiou, G.
  • The Astrophysical Journal, Vol. 379
  • DOI: 10.1086/170520

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


LUMINOUS RED GALAXY POPULATION IN CLUSTERS AT 0.2⩽ z ⩽0.6
journal, May 2009


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


Algorithm for the direct reconstruction of the dark matter correlation function from weak lensing and galaxy clustering
journal, March 2010


Galaxy clustering and galaxy-galaxy lensing: a promising union to constrain cosmological parameters
journal, April 2009

  • Cacciato, Marcello; van den Bosch, Frank C.; More, Surhud
  • Monthly Notices of the Royal Astronomical Society, Vol. 394, Issue 2
  • DOI: 10.1111/j.1365-2966.2008.14362.x

The Galaxy-Mass Correlation Function Measured from Weak Lensing in the Sloan Digital Sky Survey
journal, May 2004

  • Sheldon, Erin S.; Johnston, David E.; Frieman, Joshua A.
  • The Astronomical Journal, Vol. 127, Issue 5
  • DOI: 10.1086/383293

The Rockstar Phase-Space Temporal halo Finder and the Velocity Offsets of Cluster Cores
journal, December 2012


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

Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z   ~  1.2
journal, May 2012


Cosmological constraints from a combination of galaxy clustering and lensing – II. Fisher matrix analysis
journal, February 2013

  • More, Surhud; van den Bosch, Frank C.; Cacciato, Marcello
  • Monthly Notices of the Royal Astronomical Society, Vol. 430, Issue 2
  • DOI: 10.1093/mnras/sts697

KiDS-450: cosmological parameter constraints from tomographic weak gravitational lensing
journal, November 2016

  • Hildebrandt, H.; Viola, M.; Heymans, C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 2
  • DOI: 10.1093/mnras/stw2805

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


Dark Energy Survey year 1 results: Galaxy clustering for combined probes
journal, August 2018


Systematic errors in weak lensing: application to SDSS galaxy-galaxy weak lensing
journal, August 2005


The dark side of galaxy colour
journal, September 2013

  • Hearin, Andrew P.; Watson, Douglas F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 2
  • DOI: 10.1093/mnras/stt1374

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

Mapping stellar content to dark matter haloes using galaxy clustering and galaxy–galaxy lensing in the SDSS DR7
journal, October 2015

  • Zu, Ying; Mandelbaum, Rachel
  • Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 2
  • DOI: 10.1093/mnras/stv2062

Environmental influences on dark matter haloes and consequences for the galaxies within them
journal, January 1999


Dark Energy Survey year 1 results: Galaxy-galaxy lensing
journal, August 2018


redMaGiC: selecting luminous red galaxies from the DES Science Verification data
journal, May 2016

  • Rozo, E.; Rykoff, E. S.; Abate, A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 461, Issue 2
  • DOI: 10.1093/mnras/stw1281