Reconstruction within the Zeldovich approximation

TL;DR

This paper develops a Zeldovich approximation-based model for the correlation function of biased tracers, incorporating reconstruction effects, and compares it with N-body simulations to improve understanding of large-scale structure measurements.

Contribution

It introduces a Zeldovich formalism for reconstructed density fields, accounting for bias and redshift-space distortions, enhancing theoretical modeling of galaxy clustering.

Findings

Model qualitatively matches simulation effects of reconstruction.

Quantitative accuracy depends on redshift-space distortion treatment.

Provides a framework for improving large-scale structure analyses.

Abstract

The Zeldovich approximation, 1st order Lagrangian perturbation theory, provides a good description of the clustering of matter and galaxies on large scales. The acoustic feature in the large-scale correlation function of galaxies imprinted by sound waves in the early Universe has been successfully used as a `standard ruler' to constrain the expansion history of the Universe. The standard ruler can be improved if a process known as density field reconstruction is employed. In this paper we develop the Zeldovich formalism to compute the correlation function of biased tracers in both real- and redshift-space using the simplest reconstruction algorithm with a Gaussian kernel and compare to N-body simulations. The model qualitatively describes the effects of reconstruction on the simulations, though its quantitative success depends upon how redshift-space distortions are handled in the reconstruction algorithm.