Nonlinear Behavior of Baryon Acoustic Oscillations in Redshift Space from the Zel'dovich Approximation

Abstract

Baryon acoustic oscillations (BAO) are a powerful probe of the expansion history of the universe, which can tell us about the nature of dark energy. In order to accurately characterize the dark energy equation of state using BAO, we must understand the effects of both nonlinearities and redshift space distortions on the location and shape of the acoustic peak. In a previous paper we introduced a novel approach to 2nd order perturbation theory in configuration space using the Zel'dovich approximation, and presented a simple result for the first nonlinear term of the correlation function. In this paper, we extend this approach to redshift space. We show how perform the computation, and present the analytic result for the first nonlinear term in the correlation function. Finally, we validate our result through comparison to numerical simulations.

arXiv comment8 pages; Accepted by Astrophysical Journal

References in corpus (27)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Efficient Computation of CMB anisotropies in closed FRW models
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• Renormalized Cosmological Perturbation Theory
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The Clustering of Luminous Red Galaxies in the Sloan Digital Sky Survey Imaging Data
• Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
• Second Order Power Spectrum and Nonlinear Evolution at High Redshift
• The WiggleZ Dark Energy Survey: testing the cosmological model with baryon acoustic oscillations at z=0.6
• Convolution Lagrangian perturbation theory for biased tracers
• The Zeldovich approximation
• Acoustic scale from the angular power spectra of SDSS-III DR8 photometric luminous galaxies
• Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal
• Impact of shell crossing and scope of perturbative approaches in real and redshift space
• Redshift-Space Enhancement of Line-of-Sight Baryon Acoustic Oscillations in the SDSS Main-Galaxy Sample
• N-point Statistics of Large-Scale Structure in the Zel'dovich Approximation
• Nonlinear Behavior of Baryon Acoustic Oscillations from the Zel'dovich Approximation Using a Non-Fourier Perturbation Approach

Cited by in corpus (7)

• Large-Scale Galaxy Bias
• The Galaxy Power Spectrum and Bispectrum in Redshift Space
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• COFFE: a code for the full-sky relativistic galaxy correlation function
• 2-FAST: Fast and accurate computation of projected two-point functions
• On the $2^{\text{nd}}$ feature of the matter two-point function
• Glass-Like Random Catalogues for Two-Point Estimates on the Light Cone