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

2010/06/03 by Atsushi Taruya, Takahiro Nishimichi, Shun Saito · 426 citations
Physics and Astronomy · #Astrophysics #Baryon #Baryon acoustic oscillations #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gravitation #Hubble's law #Matter power spectrum #Physics #Redshift #Redshift survey #Redshift-space distortions #Spectral density #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.82.063522

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(6) (American Physical Society) · 18 pages, 10 figures

arxiv created 2010/06/03 · openalex publication_date 2010/09/16 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an improved prescription for the matter power spectrum in redshift space taking proper account of both nonlinear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling baryon acoustic oscillations (BAOs). Contrary to the models of redshift distortion phenomenologically introduced but frequently used in the literature, the new model includes the corrections arising from the nonlinear coupling between the density and velocity fields associated with two competitive effects of redshift distortion, i.e., Kaiser and Finger-of-God effects. Based on the improved treatment of perturbation theory for gravitational clustering, we compare our model predictions with the monopole and quadrupole power spectra of N-body simulations, and an excellent agreement is achieved over the scales of BAOs. Potential impacts on constraining dark energy and modified gravity from the redshift-space power spectrum are also investigated based on the Fisher-matrix formalism, particularly focusing on the measurements of the Hubble parameter, angular diameter distance, and growth rate for structure formation. We find that the existing phenomenological models of redshift distortion produce a systematic error on measurements of the angular diameter distance and Hubble parameter by 1%--2% , and the growth-rate parameter by \ensuremath∼5%, which would become non-negligible for future galaxy surveys. Correctly modeling redshift distortion is thus essential, and the new prescription for the redshift-space power spectrum including the nonlinear corrections can be used as an accurate theoretical template for anisotropic BAOs.

Citations

• Simulations of baryon acoustic oscillations - I. Growth of large-scale density fluctuations
• Constraining anisotropic baryon oscillations
• Redshift space correlations and scale-dependent stochastic biasing of density peaks
• The non-linear redshift-space power spectrum of galaxies
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• A survey of galaxy redshifts. V - The two-point position and velocity correlations
• Resumming cosmological perturbations via the Lagrangian picture: One-loop results in real space and in redshift space
• Flowing with time: a new approach to non-linear cosmological perturbations
• FIVE-YEARWILKINSON MICROWAVE ANISOTROPY PROBEOBSERVATIONS: COSMOLOGICAL INTERPRETATION
• Testing cosmological structure formation using redshift-space distortions

Cited by

• BE-HaPPY: bias emulator for halo power spectrum including massive neutrinos
• Impact of cosmological signatures in two-point statistics beyond the linear regime
• Redshift-space distortions in massive neutrino and evolving dark energy cosmologies
• Redshift-space distortions
• The VIMOS Public Extragalactic Redshift Survey (VIPERS)
• A METHOD TO EXTRACT THE REDSHIFT DISTORTION β PARAMETER IN CONFIGURATION SPACE FROM MINIMAL COSMOLOGICAL ASSUMPTIONS
• Probing redshift-space distortions with phase correlations
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: N-body mock challenge for the quasar sample
• Reducing the variance of redshift space distortion measurements from mock galaxy catalogues with different lines of sight
• The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9
• A Gaussian Covariance Matrix for Joint Pre- and Post-Reconstruction Full-Shape Power Spectrum Analysis
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: on the measurement of growth rate using galaxy correlation functions
• Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS
• Large-scale structure perturbation theory without losing stream crossing
• Effects of dark energy anisotropic stress on the matter power spectrum
• Effects of linear redshift space distortions and perturbation theory on BAOs: a 3D spherical analysis
• Cosmological Information from the Small-scale Redshift-space Distortion