Characteristic Scales of Baryon Acoustic Oscillations from Perturbation Theory: Non-linearity and Redshift-Space Distortion Effects

Abstract

An acoustic oscillation of the primeval photon-baryon fluid around the decoupling time imprints a characteristic scale in the galaxy distribution today, known as the baryon acoustic oscillation (BAO) scale. Several on-going and/or future galaxy surveys aim at detecting and precisely determining the BAO scale so as to trace the expansion history of the universe. We consider nonlinear and redshift-space distortion effects on the shifts of the BAO scale in $k$-space using perturbation theory. The resulting shifts are indeed sensitive to different choices of the definition of the BAO scale, which needs to be kept in mind in the data analysis. We present a toy model to explain the physical behavior of the shifts. We find that the BAO scale defined as in Percival et al. (2007) indeed shows very small shifts ($\lesssim$ 1%) relative to the prediction in {\it linear theory} in real space. The shifts can be predicted accurately for scales where the perturbation theory is reliable.

21 pages, 9 figures, references and supplementary sections added, accepted for publication in PASJ

References in corpus (15)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• The Clustering of Luminous Red Galaxies in the Sloan Digital Sky Survey Imaging Data
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• Perturbation Theory Reloaded: Analytical Calculation of Non-linearity in Baryonic Oscillations in the Real Space Matter Power Spectrum
• Measuring the matter density using baryon oscillations in the SDSS
• Dark matter clustering: a simple renormalization group approach
• Bispectrum and Nonlinear Biasing of Galaxies: Perturbation Analysis, Numerical Simulation and SDSS Galaxy Clustering
• Large-N expansions applied to gravitational clustering
• Systematic effects in the sound horizon scale measurements
• The nonlinear matter power spectrum
• Searching for modified gravity with baryon oscillations: from SDSS to wide field multiobject spectroscopy (WFMOS)

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• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
• Gravitational redshift and other redshift-space distortions of the imaginary part of the power spectrum
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe
• Nonlinear Biasing and Redshift-Space Distortions in Lagrangian Resummation Theory and N-body Simulations
• GridSPT: Grid-based calculation for perturbation theory of large-scale structure
• Large-scale structure perturbation theory without losing stream crossing
• Barry and the BAO Model Comparison
• Effects of Linear Redshift Space Distortions and Perturbation Theory on BAOs: A 3D Spherical Analysis
• Consistency Relations in Effective Field Theory
• Higher multipoles of the galaxy bispectrum in redshift space
• Damping of the baryon acoustic oscillations in the matter power spectrum as a probe of the growth factor
• On the origin of the BAOtr-DESI tension
• A Pop III generated dust screen at z~16