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Galaxy power spectrum in redshift space: Combining perturbation theory with the halo model

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [1];  [2];  [3];  [4];  [5]
  1. The Univ. of Tokyo, Chiba (Japan)
  2. Univ. of California, CA (United States)
  3. Univ. of California, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  4. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  5. Univ. de Geneve, Geneve (Switzerland)
+ Show Author Affiliations
Theoretical modeling of the redshift-space power spectrum of galaxies is crucially important to correctly extract cosmological information from galaxy redshift surveys. The task is complicated by the nonlinear biasing and redshift space distortion (RSD) effects, which change with halo mass, and by the wide distribution of halo masses and their occupations by galaxies. One of the main modeling challenges is the existence of satellite galaxies that have both radial distribution inside the halos and large virial velocities inside halos, a phenomenon known as the Finger-of-God (FoG) effect. We present a model for the redshift-space power spectrum of galaxies in which we decompose a given galaxy sample into central and satellite galaxies and relate different contributions to the power spectrum to 1-halo and 2-halo terms in a halo model. Our primary goal is to ensure that any parameters that we introduce have physically meaningful values, and are not just fitting parameters. For the lowest order 2-halo terms we use the previously developed RSD modeling of halos in the context of distribution function and perturbation theory approach. This term needs to be multiplied by the effect of radial distances and velocities of satellites inside the halo. To this one needs to add the 1-halo terms, which are nonperturbative. We show that the real space 1-halo terms can be modeled as almost constant, with the finite extent of the satellites inside the halo inducing a small k2R2 term over the range of scales of interest, where R is related to the size of the halo given by its halo mass. Furthermore, we adopt a similar model for FoG in redshift space, ensuring that FoG velocity dispersion is related to the halo mass. For FoG k2 type expansions do not work over the range of scales of interest and FoG resummation must be used instead. We test several simple damping functions to model the velocity dispersion FoG effect. Applying the formalism to mock galaxies modeled after the “CMASS” sample of the BOSS survey, we find that our predictions for the redshift-space power spectra are accurate up to k ≃ 0.4 h Mpc–1 within 1% if the halo power spectrum is measured using N-body simulations and within 3% if it is modeled using perturbation theory.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231; AC02-76SF00515
OSTI ID:
1263410
Alternate ID(s):
OSTI ID: 1226499
OSTI ID: 1439979
Report Number(s):
SLAC-PUB--16628; arXiv:1506.05814
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 10 Vol. 92; ISSN PRVDAQ; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture text January 2008
Testing cosmological structure formation using redshift-space distortions text January 2008
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Nonlinear Biasing and Redshift-Space Distortions in Lagrangian Resummation Theory and N-body Simulations text January 2011
Distribution function approach to redshift space distortions. Part II: N-body simulations text January 2011
Peculiar Velocity Decomposition, Redshift Space Distortion and Velocity Reconstruction in Redshift Surveys - I. The Methodology text January 2012
Convolution Lagrangian perturbation theory for biased tracers text January 2012
Impacts of satellite galaxies on the redshift-space distortions text January 2013
Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos text January 2013
Broadband Alcock-Paczynski test exploiting redshift distortions text January 2013
Geometric and dynamic distortions in anisotropic galaxy clustering text January 2013
Constraining Halo Occupation Distribution and Cosmic Growth Rate using Multipole Power Spectrum text January 2014
A 2.5% measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies text January 2014
Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum text January 2014
Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects text January 2014
Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function text January 2015
Halo occupation numbers and galaxy bias text January 2000
The redshift space power spectrum in the halo model text January 2000
How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering text January 2000
Nonlinear redshift distortions: The two-point correlation function text January 2001
Large-Scale Structure of the Universe and Cosmological Perturbation Theory text January 2001
An analytical model for the non-linear redshift-space power spectrum text January 2002
Stable clustering, the halo model and nonlinear cosmological power spectra text January 2002
Populating Dark Matter Haloes with Galaxies: Comparing the 2dFGRS with Mock Galaxy Redshift Surveys text January 2003
Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies text January 2004
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The nonlinear redshift-space power spectrum of galaxies text January 1998
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Distribution function approach to redshift space distortions. Part III: halos and galaxies text January 2012
Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter text January 2012
Evidence for quadratic tidal tensor bias from the halo bispectrum text January 2012
Distribution function approach to redshift space distortions. Part II:N-body simulations text January 2012
Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos text January 2013
Halo stochasticity from exclusion and nonlinear clustering text January 2013

Cited By (6)

The Gaussian streaming model and convolution Lagrangian effective field theory journal December 2016
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: anisotropic galaxy clustering in Fourier space journal December 2016
The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at z ∼ 1.4 journal April 2016
Cosmological information content in redshift-space power spectrum of SDSS-like galaxies in the quasinonlinear regime up to k = 0.3     h   Mpc − 1 journal January 2020
EFT of large scale structures in redshift space journal March 2018
The structure of galactic halos and the microwave temperature maps journal October 2019

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