Nonlinear Evolution of Baryon Acoustic Oscillations

Abstract

We study the nonlinear evolution of the baryon acoustic oscillations (BAO) in the dark matter power spectrum and correlation function using renormalized perturbation theory (RPT). In a previous paper we showed that RPT successfully predicts the damping of acoustic oscillations; here we extend our calculation to the enhancement of power due to mode-coupling. We show that mode-coupling generates additional oscillations that are out of phase with those in the linear spectrum, leading to shifts in the scales of oscillation nodes defined with respect to a smooth spectrum. When Fourier transformed, these out of phase oscillations induce percent-level shifts in the acoustic peak of the two-point correlation function. We present predictions for these shifts as a function of redshift; these should be considered as a robust lower limit to the more realistic case that includes in addition redshift distortions and galaxy bias. We show that these nonlinear effects occur at very large scales, leading to a breakdown of linear theory at scales much larger than commonly thought. We discuss why virialized halo profiles are not responsible for these effects, which can be understood from basic physics of gravitational instability. Our results are in excellent agreement with numerical simulations, and can be used as a starting point for modeling BAO in future observations. To meet this end, we suggest a simple physically motivated model to correct for the shifts caused by mode-coupling.

18 pages, 8 figures, submitted to Phys. Rev. D. v2: We show that mode-coupling introduces out of phase oscillations that lead to shifts in the power spectrum nodes in the method of arXiv:0705.3323

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• Measurement of the baryonic acoustic oscillation scale in 21 cm intensity fluctuations during the reionisation era
• Efficient implementation of the Time Renormalization Group
• Dark matter vorticity and velocity dispersion from truncated Dyson$\unicode{x2013}$Schwinger equations
• On the $2^{\text{nd}}$ feature of the matter two-point function
• Extended Fast Action Minimisation method: application to SDSS-DR12 Combined Sample
• Mass-Dependent Baryon Acoustic Oscillation Signal and Halo Bias
• Non-linear Matter Spectrum for a Variable Equation of State
• The smearing scale in Laguerre reconstructions of the correlation function
• The gravitational force field of proto-pancakes
• Extending evolution mapping to massive neutrinos with COMET
• Self calibration of galaxy bias in spectroscopic redshift surveys of baryon acoustic oscillations
• Baryon Acoustic Oscillations analyses with Density-Split Statistics
• Cosmological constraints with the linear point from the BOSS survey
• Cosmological perturbation theory for large scale structure in phase space
• A model of the anisotropic correlation function xi(rp, pi) in redshift space including redshift errors
• Lagrangian displacement field estimators in cosmology
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• Pair Counting without Binning -- A New Approach to Correlation Functions in Clustering Statistics
• On the possibility of Baryon Acoustic Oscillation measurements at redshift $z>7.6$ with the Roman Space Telescope
• Estimating power spectrum of discrete cosmic momentum field with fast Fourier transform
• Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect
• Direct Determination of Expansion History Using Redshift Distortions
• Dark Energy Survey: DESI-Independent Angular BAO Measurement
• Particle Physics in the Sky and Astrophysics Underground: Connecting the Universe's Largest and Smallest Scales
• The effect of massive neutrinos on the BAO peak
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space
• Systematic treatment of non-linear effects in Baryon Acoustic Oscillations
• Using the large scale quasar clustering to constrain flat quintessential universes
• Laguerre reconstruction of the BAO feature in halo-based mock galaxy catalogues
• Post-collapse Lagrangian perturbation theory in three dimensions
• Laguerre reconstruction of the correlation function on Baryon Acoustic Oscillation scales
• On the Statistical Evolution of the Large-scale Structure and the Effective Dynamics