Nonlinear Evolution of Baryon Acoustic Oscillations
Abstract
We study the nonlinear evolution of the baryon acoustic signature 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, showing that this typically leads to percent-level shifts in the acoustic peak of the two-point correlation function. We present predictions for this shift 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 these effects in future observations. To meet this end, we suggest a simple physically motivated model to correct for the shifts caused by mode-coupling.Keywords
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