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

TL;DR

This paper extends a Zel'dovich approximation-based perturbation theory to redshift space, providing an analytic expression for the nonlinear correlation function term and validating it against simulations, aiding dark energy studies.

Contribution

It introduces an analytic method for nonlinear BAO modeling in redshift space using the Zel'dovich approximation, extending previous configuration space approaches.

Findings

Derived the first nonlinear correction term in redshift space correlation function.

Validated the analytic result through comparison with numerical simulations.

Enhanced understanding of nonlinear effects on BAO in redshift space.

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.