Biased Tracers in Redshift Space in the EFT of Large-Scale Structure

TL;DR

This paper advances the Effective Field Theory of Large-Scale Structure by computing the one-loop power spectrum of biased tracers in redshift space, achieving high accuracy and enabling direct comparison with observational data.

Contribution

First computation of the one-loop power spectrum of biased tracers in redshift space within EFTofLSS, with publicly available code and improved agreement with simulations.

Findings

One-loop order matches simulations within a few percent up to k≈0.43 h/Mpc.

IR-resummation accurately reproduces the BAO peak.

Formalism is ready for direct comparison with observational data.

Abstract

The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a novel formalism that is able to accurately predict the clustering of large-scale structure (LSS) in the mildly non-linear regime. Here we provide the first computation of the power spectrum of biased tracers in redshift space at one loop order, and we make the associated code publicly available. We compare the multipoles $\ell=0,2$ of the redshift-space halo power spectrum, together with the real-space matter and halo power spectra, with data from numerical simulations at $z=0.67$. For the samples we compare to, which have a number density of $\bar n=3.8 \cdot 10^{-2}(h \ {\rm Mpc}^{-1})^3$ and $\bar n=3.9 \cdot 10^{-4}(h \ {\rm Mpc}^{-1})^3$, we find that the calculation at one-loop order matches numerical measurements to within a few percent up to $k\simeq 0.43 \ h \ {\rm Mpc}^{-1}$, a significant improvement with respect to former techniques. By performing the so-called IR-resummation, we find that the Baryon Acoustic Oscillation peak is accurately reproduced. Based on the results presented here, long-wavelength statistics that are routinely observed in LSS surveys can be finally computed in the EFTofLSS. This formalism thus is ready to start to be compared directly to observational data.