Infrared Resummation for Biased Tracers in Redshift Space

TL;DR

This paper develops a new method within time-sliced perturbation theory to accurately model the impact of redshift space distortions and non-linear bias on baryon acoustic oscillations, enhancing theoretical predictions.

Contribution

It introduces a novel IR resummation technique in TSPT that accounts for non-linear effects and bias in redshift space, improving BAO modeling.

Findings

Provides an efficient IR resummation method for BAO in redshift space.

Establishes a consistent theoretical framework for biased tracers.

Enhances the accuracy of BAO predictions in cosmological analyses.

Abstract

We incorporate the effects of redshift space distortions and non-linear bias in time-sliced perturbation theory (TSPT). This is done via a new method that allows to map cosmological correlation functions from real to redshift space. This mapping preserves a transparent infrared (IR) structure of the theory and provides us with an efficient tool to study non-linear infrared effects altering the pattern of baryon acoustic oscillations (BAO) in redshift space. We give an accurate description of the BAO by means of a systematic resummation of Feynman diagrams guided by well-defined power counting rules. This establishes IR resummation within TSPT as a robust and complete procedure and provides a consistent theoretical model for the BAO feature in the statistics of biased tracers in redshift space.