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Title: Disentangling Redshift-Space Distortions and Nonlinear Bias using the 2D Power Spectrum

Abstract

We present the nonlinear 2D galaxy power spectrum, P(k, µ), in redshift space, measured from the Dark Sky simulations, using galaxy catalogs constructed with both halo occupation distribution and subhalo abundance matching methods, chosen to represent an intermediate redshift sample of luminous red galaxies. We find that the information content in individual µ (cosine of the angle to the line of sight) bins is substantially richer then multipole moments, and show that this can be used to isolate the impact of nonlinear growth and redshift space distortion (RSD) effects. Using the µ < 0.2 simulation data, which we show is not impacted by RSD effects, we can successfully measure the nonlinear bias to an accuracy of ~ 5% at k < 0.6hMpc-1 . This use of individual µ bins to extract the nonlinear bias successfully removes a large parameter degeneracy when constraining the linear growth rate of structure. We carry out a joint parameter estimation, using the low µ simulation data to constrain the nonlinear bias, and µ > 0.2 to constrain the growth rate and show that f can be constrained to ~ 26(22)% to a kmax < 0.4(0.6)hMpc-1 from clustering alone using a simple dispersion model, for amore » range of galaxy models. Our analysis of individual µ bins also reveals interesting physical effects which arise simply from different methods of populating halos with galaxies. We also find a prominent turnaround scale, at which RSD damping effects are greater then the nonlinear growth, which differs not only for each µ bin but also for each galaxy model. These features may provide unique signatures which could be used to shed light on the galaxy–dark matter connection. Furthermore, the idea of separating nonlinear growth and RSD effects making use of the full information in the 2D galaxy power spectrum yields significant improvements in constraining cosmological parameters and may be a promising probe of galaxy formation models.« less

Authors:
 [1];  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Univ. of Chicago, IL (United States)
  2. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1221340
Report Number(s):
FERMILAB-PUB-15-339-A
Journal ID: ISSN 0035-8711; arXiv eprint number arXiv:1508.01803
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 457; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; N-body simulations; cosmology:theory; large-scale structure of the Universe

Citation Formats

Jennings, Elise, and Wechsler, Risa H. Disentangling Redshift-Space Distortions and Nonlinear Bias using the 2D Power Spectrum. United States: N. p., 2015. Web. doi:10.1093/mnras/stv2989.
Jennings, Elise, & Wechsler, Risa H. Disentangling Redshift-Space Distortions and Nonlinear Bias using the 2D Power Spectrum. United States. doi:10.1093/mnras/stv2989.
Jennings, Elise, and Wechsler, Risa H. Fri . "Disentangling Redshift-Space Distortions and Nonlinear Bias using the 2D Power Spectrum". United States. doi:10.1093/mnras/stv2989. https://www.osti.gov/servlets/purl/1221340.
@article{osti_1221340,
title = {Disentangling Redshift-Space Distortions and Nonlinear Bias using the 2D Power Spectrum},
author = {Jennings, Elise and Wechsler, Risa H.},
abstractNote = {We present the nonlinear 2D galaxy power spectrum, P(k, µ), in redshift space, measured from the Dark Sky simulations, using galaxy catalogs constructed with both halo occupation distribution and subhalo abundance matching methods, chosen to represent an intermediate redshift sample of luminous red galaxies. We find that the information content in individual µ (cosine of the angle to the line of sight) bins is substantially richer then multipole moments, and show that this can be used to isolate the impact of nonlinear growth and redshift space distortion (RSD) effects. Using the µ < 0.2 simulation data, which we show is not impacted by RSD effects, we can successfully measure the nonlinear bias to an accuracy of ~ 5% at k < 0.6hMpc-1 . This use of individual µ bins to extract the nonlinear bias successfully removes a large parameter degeneracy when constraining the linear growth rate of structure. We carry out a joint parameter estimation, using the low µ simulation data to constrain the nonlinear bias, and µ > 0.2 to constrain the growth rate and show that f can be constrained to ~ 26(22)% to a kmax < 0.4(0.6)hMpc-1 from clustering alone using a simple dispersion model, for a range of galaxy models. Our analysis of individual µ bins also reveals interesting physical effects which arise simply from different methods of populating halos with galaxies. We also find a prominent turnaround scale, at which RSD damping effects are greater then the nonlinear growth, which differs not only for each µ bin but also for each galaxy model. These features may provide unique signatures which could be used to shed light on the galaxy–dark matter connection. Furthermore, the idea of separating nonlinear growth and RSD effects making use of the full information in the 2D galaxy power spectrum yields significant improvements in constraining cosmological parameters and may be a promising probe of galaxy formation models.},
doi = {10.1093/mnras/stv2989},
journal = {Monthly Notices of the Royal Astronomical Society},
number = ,
volume = 457,
place = {United States},
year = {2015},
month = {8}
}

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Works referenced in this record:

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


Gravitationally Consistent halo Catalogs and Merger Trees for Precision Cosmology
journal, December 2012


Mergers and mass Accretion for Infalling Halos both end well Outside Cluster Virial Radii
journal, May 2014


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


The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: testing gravity with redshift space distortions using the power spectrum multipoles
journal, July 2014

  • Beutler, Florian; Saito, Shun; Seo, Hee-Jong
  • Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 2
  • DOI: 10.1093/mnras/stu1051

Halo velocity bias
journal, November 2014


Improving the modelling of redshift-space distortions – I. A bivariate Gaussian description for the galaxy pairwise velocity distributions
journal, November 2014

  • Bianchi, Davide; Chiesa, Matteo; Guzzo, Luigi
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 1
  • DOI: 10.1093/mnras/stu2080

The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9: WiggleZ Survey: growth of structure
journal, June 2011


Galaxy halo occupation at high redshift
journal, January 2002

  • Bullock, James S.; Wechsler, Risa H.; Somerville, Rachel S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 329, Issue 1
  • DOI: 10.1046/j.1365-8711.2002.04959.x

Clustering of luminous red galaxies - I. Large-scale redshift-space distortions
journal, March 2009


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


Modeling Luminosity‐dependent Galaxy Clustering through Cosmic Time
journal, August 2006

  • Conroy, Charlie; Wechsler, Risa H.; Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 647, Issue 1
  • DOI: 10.1086/503602

Halo models of large scale structure
journal, December 2002


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

Power-spectrum analysis of three-dimensional redshift surveys
journal, May 1994

  • Feldman, Hume A.; Kaiser, Nick; Peacock, John A.
  • The Astrophysical Journal, Vol. 426
  • DOI: 10.1086/174036

DESI and other Dark Energy experiments in the era of neutrino mass measurements
journal, May 2014

  • Font-Ribera, Andreu; McDonald, Patrick; Mostek, Nick
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
  • DOI: 10.1088/1475-7516/2014/05/023

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

Velocity bias from the small-scale clustering of SDSS-III BOSS galaxies
journal, November 2014

  • Guo, Hong; Zheng, Zheng; Zehavi, Idit
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 1
  • DOI: 10.1093/mnras/stu2120

A test of the nature of cosmic acceleration using galaxy redshift distortions
journal, January 2008


An improved model for the non-linear velocity power spectrum
journal, September 2012


Non-linear stochastic growth rates and redshift space distortions
journal, April 2015

  • Jennings, E.; Jennings, D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 4
  • DOI: 10.1093/mnras/stv535

Velocity and mass bias in the distribution of dark matter haloes
journal, November 2014

  • Jennings, E.; Baugh, C. M.; Hatt, D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 1
  • DOI: 10.1093/mnras/stu2043

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 Dark Side of the Halo Occupation Distribution
journal, July 2004

  • Kravtsov, Andrey V.; Berlind, Andreas A.; Wechsler, Risa H.
  • The Astrophysical Journal, Vol. 609, Issue 1
  • DOI: 10.1086/420959

Mapping Growth and Gravity with Robust Redshift Space Distortions
journal, March 2012


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


Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions
journal, November 2000

  • Ma, Chung‐Pei; Fry, J. N.
  • The Astrophysical Journal, Vol. 543, Issue 2
  • DOI: 10.1086/317146

Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
journal, October 2008


The effect of redshift-space distortions on projected two-point clustering measurements: Redshift distortions and projected clustering
journal, June 2010


Reconstructing the linear power spectrum of cosmological mass fluctuations
journal, April 1994

  • Peacock, J. A.; Dodds, S. J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 267, Issue 4
  • DOI: 10.1093/mnras/267.4.1020

Testing cosmological structure formation using redshift-space distortions
journal, February 2009


Planck 2013 results. I. Overview of products and scientific results
journal, October 2014


The Connection Between Galaxies and dark Matter Structures in the Local Universe
journal, June 2013

  • Reddick, Rachel M.; Wechsler, Risa H.; Tinker, Jeremy L.
  • The Astrophysical Journal, Vol. 771, Issue 1
  • DOI: 10.1088/0004-637X/771/1/30

Constraining the Luminous red Galaxy halo Occupation Distribution Using Counts-In-Cylinders
journal, May 2009


Towards an accurate model of the redshift-space clustering of haloes in the quasi-linear regime: Redshift-space distortions
journal, August 2011


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

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
journal, June 2013

  • Sánchez, Ariel G.; Kazin, Eyal A.; Beutler, Florian
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 2
  • DOI: 10.1093/mnras/stt799

The spatial correlation function of IRAS galaxies on small and intermediate scales
journal, September 1992

  • Saunders, W.; Rowan-Robinson, M.; Lawrence, A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 258, Issue 1
  • DOI: 10.1093/mnras/258.1.134

Statistics of primordial density perturbations from discrete seed masses
journal, November 1991

  • Scherrer, Robert J.; Bertschinger, Edmund
  • The Astrophysical Journal, Vol. 381
  • DOI: 10.1086/170658

Redshift-space distortions, pairwise velocities, and nonlinearities
journal, October 2004


Distribution function approach to redshift space distortions
journal, November 2011


Baryon acoustic oscillations in 2D: Modeling redshift-space power spectrum from perturbation theory
journal, September 2010


Redshift-space distortions with the halo occupation distribution - I. Numerical simulations
journal, May 2006


Linking halo mass to galaxy luminosity
journal, September 2004


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

Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release
journal, December 2014

  • White, Martin; Reid, Beth; Chuang, Chia-Hsun
  • Monthly Notices of the Royal Astronomical Society, Vol. 447, Issue 1
  • DOI: 10.1093/mnras/stu2460

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

Halo Occupation Distribution Modeling of Clustering of Luminous red Galaxies
journal, November 2009


Determination of the large scale volume weighted halo velocity bias in simulations
journal, June 2015


CosmoSIS: Modular cosmological parameter estimation
journal, September 2015