Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy

Singh, Sukhdeep; Alam, Shadab; Mandelbaum, Rachel; Seljak, Uroš; Rodriguez-Torres, Sergio; Ho, Shirley

doi:10.1093/mnras/sty2681

Title: Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy

Abstract

We present measurements of EG, a probe of gravity from large-scale structure, using BOSS LOWZ and CMASS spectroscopic samples, with lensing measurements from SDSS (galaxy lensing) and Planck (CMB lensing). Using SDSS lensing and the BOSS LOWZ sample, we measure $⟨ E_{G} ⟩ = {0.40}_{- 0.04}^{+ 0.05}$ (stat), ±0.026 (systematic), consistent with the predicted value from the Planck ΛCDM model, EG=0.46. Using CMB lensing, we measure $⟨ E_{G} ⟩ = {0.46}_{- 0.09}^{+ 0.08}$ (stat) for LOWZ (statistically consistent with galaxy lensing and Planck predictions) and $⟨ E_{G} ⟩ = {0.39}_{- 0.05}^{+ 0.05}$ (stat) for the CMASS sample, consistent with the Planck prediction of E_G=0.40 given the higher redshift of the sample. We also study the redshift evolution of E_G by splitting the LOWZ sample into two samples based on redshift, with results being consistent with model predictions. We estimate systematic uncertainties on the above $$\langle$$E_G$$\rangle$$ numbers to be ~6% (when using galaxy-galaxy lensing) or ~3% (when using CMB lensing), subdominant to the quoted statistical errors. These systematic error budgets are dominated by observational systematics in galaxy-galaxy lensing and by theoretical modeling uncertainties, respectively. We do not estimate observational systematics in galaxy-CMB lensing cros-correlations.

Authors:

Singh, Sukhdeep ^[1]; Alam, Shadab ^[2];

^[3]; Seljak, Uroš ^[4]; Rodriguez-Torres, Sergio ^[5]; Ho, Shirley ^[6]

Carnegie Mellon Univ., Pittsburgh, PA (United States). McWilliams Center for Cosmology; Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Univ. of Edinburgh, Scotland (United Kingdom). The Royal Observatory
Carnegie Mellon Univ., Pittsburgh, PA (United States). McWilliams Center for Cosmology
Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Univ. Autonoma de Madrid (UAM), Cantoblanco, Madrid (Spain). Inst. de Fisica Teorica
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States). Berkeley Center for Cosmological Physics; Carnegie Mellon Univ., Pittsburgh, PA (United States). McWilliams Center for Cosmology

Publication Date:: Thu Oct 04 00:00:00 EDT 2018

Research Org.:: Carnegie Mellon Univ., Pittsburgh, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC); Carnegie Mellon University; Alfred P. Sloan Foundation; National Science Foundation (NSF)

OSTI Identifier:: 1755662

Grant/Contract Number:: SC0010118; 670193

Resource Type:: Accepted Manuscript

Journal Name:: Monthly Notices of the Royal Astronomical Society

Additional Journal Information:: Journal Volume: 482; Journal Issue: 1; Journal ID: ISSN 0035-8711

Publisher:: Royal Astronomical Society

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; gravitational lensing: weak; large-scale structure of Universe; cosmology: observations

Citation Formats


                    Singh, Sukhdeep, Alam, Shadab, Mandelbaum, Rachel, Seljak, Uroš, Rodriguez-Torres, Sergio, and Ho, Shirley. Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy.  United States: N. p., 2018. 
Web.  doi:10.1093/mnras/sty2681.

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                    Singh, Sukhdeep, Alam, Shadab, Mandelbaum, Rachel, Seljak, Uroš, Rodriguez-Torres, Sergio, & Ho, Shirley. Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy.  United States.  https://doi.org/10.1093/mnras/sty2681

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                    Singh, Sukhdeep, Alam, Shadab, Mandelbaum, Rachel, Seljak, Uroš, Rodriguez-Torres, Sergio, and Ho, Shirley. Thu .  
"Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy".  United States.  https://doi.org/10.1093/mnras/sty2681.  https://www.osti.gov/servlets/purl/1755662.

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@article{osti_1755662,

  title        = {Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy},

  author       = {Singh, Sukhdeep and Alam, Shadab and Mandelbaum, Rachel and Seljak, Uroš and Rodriguez-Torres, Sergio and Ho, Shirley},

  abstractNote = {We present measurements of EG, a probe of gravity from large-scale structure, using BOSS LOWZ and CMASS spectroscopic samples, with lensing measurements from SDSS (galaxy lensing) and Planck (CMB lensing). Using SDSS lensing and the BOSS LOWZ sample, we measure ⟨ E G ⟩ = 0.40 − 0.04 + 0.05 (stat), ±0.026 (systematic), consistent with the predicted value from the Planck ΛCDM model, EG=0.46. Using CMB lensing, we measure ⟨ E G ⟩ = 0.46 − 0.09 + 0.08 (stat) for LOWZ (statistically consistent with galaxy lensing and Planck predictions) and ⟨ E G ⟩ = 0.39 − 0.05 + 0.05 (stat) for the CMASS sample, consistent with the Planck prediction of EG=0.40 given the higher redshift of the sample. We also study the redshift evolution of EG by splitting the LOWZ sample into two samples based on redshift, with results being consistent with model predictions. We estimate systematic uncertainties on the above $\langle$EG$\rangle$ numbers to be ~6% (when using galaxy-galaxy lensing) or ~3% (when using CMB lensing), subdominant to the quoted statistical errors. These systematic error budgets are dominated by observational systematics in galaxy-galaxy lensing and by theoretical modeling uncertainties, respectively. We do not estimate observational systematics in galaxy-CMB lensing cros-correlations.},

  doi          = {10.1093/mnras/sty2681},

  journal      = {Monthly Notices of the Royal Astronomical Society},

  number       = 1,

  volume       = 482,

  place        = {United States},

  year         = {Thu Oct 04 00:00:00 EDT 2018},

  month        = {Thu Oct 04 00:00:00 EDT 2018}

}

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Citation Formats

KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing text, January 2016

Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies text, January 2004

The Sloan Digital Sky Survey Photometric Camera journal, December 1998

RCSLenS: testing gravitational physics through the cross-correlation of weak lensing and large-scale structure journal, December 2015

The VIMOS Public Extragalactic Redshift Survey (VIPERS): A precise measurement of the galaxy stellar mass function and the abundance of massive galaxies at redshifts 0.5 < z < 1.3⋆ journal, September 2013

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An Improved Photometric Calibration of the Sloan Digital Sky Survey Imaging Data text, January 2007

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The VIMOS Public Extragalactic Redshift Survey (VIPERS): Hierarchical scaling and biasing⋆ journal, June 2015

The Zel'dovich approximation journal, February 2014

Complete treatment of galaxy two-point statistics: Gravitational lensing effects and redshift-space distortions journal, January 2009

Cosmological parameters from CMB and other data: a Monte-Carlo approach text, January 2002

HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere journal, April 2005

The Multi-Object, Fiber-Fed Spectrographs for the Sloan Digital sky Survey and the Baryon Oscillation Spectroscopic Survey journal, July 2013

CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments text, January 2013

Extending the modeling of the anisotropic galaxy power spectrum to $k = 0.4 \ h\mathrm{Mpc}^{-1}$ text, January 2017

Spectral Classification and Redshift Measurement for the Sdss-Iii Baryon Oscillation Spectroscopic Survey journal, October 2012

Planck 2013 results. XVI. Cosmological parameters journal, October 2014

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

Cosmological tests of gravity journal, July 2010

Relativistic distortions in the large-scale clustering of SDSS-III BOSS CMASS galaxies journal, June 2017

The Seventh Data Release of the Sloan Digital Sky Survey text, January 2009

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample journal, March 2017

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: analysis of potential systematics: Systematic analysis of BOSS 3D clustering journal, June 2012

SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large scale structure catalogues preprint, January 2015

CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics text, January 2016

Planck 2015 results : XI. CMB power spectra, likelihoods, and robustness of parameters journal, September 2016

Observational probes of cosmic acceleration journal, September 2013

CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions text, January 2012

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

Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant journal, September 1998

The Zurich Extragalactic Bayesian Redshift Analyzer (ZEBRA) and its first application: COSMOS text, January 2006

Optical-to-virial velocity ratios of local disc galaxies from combined kinematics and galaxy-galaxy lensing text, January 2012

Precision simulation of ground-based lensing data using observations from space: Ground-based image simulation journal, December 2011

Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7 text, January 2013

Towards optimal measurement of power spectra - I. Minimum variance pair weighting and the Fisher matrix journal, August 1997

The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores text, January 2011

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

Confirmation of general relativity on large scales from weak lensing and galaxy velocities text, January 2010

A cross-correlation-based estimate of the galaxy luminosity function journal, March 2018

An analytic model for redshift-space distortions journal, November 2013

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples journal, April 2014

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

The Large-Scale bias of dark Matter Halos: Numerical Calibration and Model Tests journal, November 2010

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples text, January 2013

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

The WiggleZ Dark Energy Survey: direct constraints on blue galaxy intrinsic alignments at intermediate redshifts: WiggleZ intrinsic alignments journal, October 2010

Probing gravity at large scales through CMB lensing journal, April 2015

Reconstructing projected matter density power spectrum from cosmic microwave background journal, May 1999

Cosmological parameters from CMB and other data: A Monte Carlo approach journal, November 2002

KiDS+2dFLenS+GAMA: Testing the cosmological model with the $E_{\rm G}$ statistic text, January 2017

CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics journal, October 2016

The 6dF Galaxy Survey: z≈ 0 measurements of the growth rate and σ8: 6dFGS: z≈ 0 measurements of fσ8 and σ8 journal, June 2012

Separating intrinsic alignment and galaxy-galaxy lensing text, January 2012

The Eighth data Release of the Sloan Digital sky Survey: First data from Sdss-Iii journal, March 2011

Stable clustering, the halo model and non-linear cosmological power spectra journal, June 2003

Gravity and large-scale nonlocal bias journal, April 2012

Weak Lensing for Precision Cosmology journal, September 2018

KiDS+GAMA: cosmology constraints from a joint analysis of cosmic shear, galaxy–galaxy lensing, and angular clustering journal, March 2018

Renormalized cosmological perturbation theory journal, March 2006

Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7 text, January 2012

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: On the measurement of growth rate using galaxy correlation functions text, January 2016

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

The VIMOS Public Extragalactic Redshift Survey (VIPERS): Galaxy clustering and redshift-space distortions at journal, August 2013

COSMOS: Three‐dimensional Weak Lensing and the Growth of Structure journal, September 2007

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

Sloan Digital Sky Survey: Early Data Release journal, January 2002

A Method for Weak Lensing Observations journal, August 1995

Testing gravity with $E_G$: mapping theory onto observations text, January 2015

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

Weak gravitational lensing journal, January 2001

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

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measurements of the growth of structure and expansion rate at z = 0.57 from anisotropic clustering : Anisotropic clustering in CMASS galaxies journal, October 2012

Convolution Lagrangian perturbation theory for biased tracers journal, December 2012

Large-Scale Structure of the Universe and Cosmological Perturbation Theory text, January 2001

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

Measuring Omega and the real correlation function from the redshift correlation function journal, January 1992

KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
text, January 2016

Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
text, January 2004

The Sloan Digital Sky Survey Photometric Camera
journal, December 1998

RCSLenS: testing gravitational physics through the cross-correlation of weak lensing and large-scale structure
journal, December 2015

The VIMOS Public Extragalactic Redshift Survey (VIPERS): A precise measurement of the galaxy stellar mass function and the abundance of massive galaxies at redshifts 0.5 < z < 1.3⋆
journal, September 2013

Extending the modeling of the anisotropic galaxy power spectrum to k = 0.4 h Mpc ⁻¹
journal, October 2017

An Improved Photometric Calibration of the Sloan Digital Sky Survey Imaging Data
text, January 2007

Maps of Dust Infrared Emission for Use in Estimation of Reddening and Cosmic Microwave Background Radiation Foregrounds
journal, June 1998

The VIMOS Public Extragalactic Redshift Survey (VIPERS): Hierarchical scaling and biasing⋆
journal, June 2015

The Zel'dovich approximation
journal, February 2014

Complete treatment of galaxy two-point statistics: Gravitational lensing effects and redshift-space distortions
journal, January 2009

Cosmological parameters from CMB and other data: a Monte-Carlo approach
text, January 2002

HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005

The Multi-Object, Fiber-Fed Spectrographs for the Sloan Digital sky Survey and the Baryon Oscillation Spectroscopic Survey
journal, July 2013

CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments
text, January 2013

Extending the modeling of the anisotropic galaxy power spectrum to $k = 0.4 \ h\mathrm{Mpc}^{-1}$
text, January 2017

Spectral Classification and Redshift Measurement for the Sdss-Iii Baryon Oscillation Spectroscopic Survey
journal, October 2012

Planck 2013 results. XVI. Cosmological parameters
journal, October 2014

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

Cosmological tests of gravity
journal, July 2010

Relativistic distortions in the large-scale clustering of SDSS-III BOSS CMASS galaxies
journal, June 2017

The Seventh Data Release of the Sloan Digital Sky Survey
text, January 2009

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: analysis of potential systematics: Systematic analysis of BOSS 3D clustering
journal, June 2012

SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 12: galaxy target selection and large scale structure catalogues
preprint, January 2015

CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics
text, January 2016

Planck 2015 results : XI. CMB power spectra, likelihoods, and robustness of parameters
journal, September 2016

Observational probes of cosmic acceleration
journal, September 2013

CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
text, January 2012

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

Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
journal, September 1998

The Zurich Extragalactic Bayesian Redshift Analyzer (ZEBRA) and its first application: COSMOS
text, January 2006

Optical-to-virial velocity ratios of local disc galaxies from combined kinematics and galaxy-galaxy lensing
text, January 2012

Precision simulation of ground-based lensing data using observations from space: Ground-based image simulation
journal, December 2011

Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7
text, January 2013

Towards optimal measurement of power spectra - I. Minimum variance pair weighting and the Fisher matrix
journal, August 1997

The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
text, January 2011

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

Confirmation of general relativity on large scales from weak lensing and galaxy velocities
text, January 2010

A cross-correlation-based estimate of the galaxy luminosity function
journal, March 2018

An analytic model for redshift-space distortions
journal, November 2013

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
journal, April 2014

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

The Large-Scale bias of dark Matter Halos: Numerical Calibration and Model Tests
journal, November 2010

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
text, January 2013

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

The WiggleZ Dark Energy Survey: direct constraints on blue galaxy intrinsic alignments at intermediate redshifts: WiggleZ intrinsic alignments
journal, October 2010

Probing gravity at large scales through CMB lensing
journal, April 2015

Reconstructing projected matter density power spectrum from cosmic microwave background
journal, May 1999

Cosmological parameters from CMB and other data: A Monte Carlo approach
journal, November 2002

KiDS+2dFLenS+GAMA: Testing the cosmological model with the $E_{\rm G}$ statistic
text, January 2017

CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics
journal, October 2016

The 6dF Galaxy Survey: z≈ 0 measurements of the growth rate and σ8: 6dFGS: z≈ 0 measurements of fσ8 and σ8
journal, June 2012

Separating intrinsic alignment and galaxy-galaxy lensing
text, January 2012

The Eighth data Release of the Sloan Digital sky Survey: First data from Sdss-Iii
journal, March 2011

Stable clustering, the halo model and non-linear cosmological power spectra
journal, June 2003

Gravity and large-scale nonlocal bias
journal, April 2012

Weak Lensing for Precision Cosmology
journal, September 2018

KiDS+GAMA: cosmology constraints from a joint analysis of cosmic shear, galaxy–galaxy lensing, and angular clustering
journal, March 2018

Renormalized cosmological perturbation theory
journal, March 2006

Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7
text, January 2012

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: On the measurement of growth rate using galaxy correlation functions
text, January 2016

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

The VIMOS Public Extragalactic Redshift Survey (VIPERS): Galaxy clustering and redshift-space distortions at
journal, August 2013

COSMOS: Three‐dimensional Weak Lensing and the Growth of Structure
journal, September 2007

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

Sloan Digital Sky Survey: Early Data Release
journal, January 2002

A Method for Weak Lensing Observations
journal, August 1995

Testing gravity with $E_G$: mapping theory onto observations
text, January 2015

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

Weak gravitational lensing
journal, January 2001

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

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measurements of the growth of structure and expansion rate at z = 0.57 from anisotropic clustering : Anisotropic clustering in CMASS galaxies
journal, October 2012

Convolution Lagrangian perturbation theory for biased tracers
journal, December 2012

Large-Scale Structure of the Universe and Cosmological Perturbation Theory
text, January 2001

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

Measuring Omega and the real correlation function from the redshift correlation function
journal, January 1992

Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix
journal, December 2006

CARS: The CFHTLS-Archive-Research Survey: III. First detection of cosmic magnification in samples of normal high-
journal, September 2009

Measurements of Ω and Λ from 42 High‐Redshift Supernovae
journal, June 1999