The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1

TL;DR

This paper analyzes the anisotropic clustering of luminous red galaxies from SDSS-IV eBOSS DR16 to measure BAO and growth rate of structure, providing cosmological constraints consistent with the standard model.

Contribution

It presents the first combined cosmological analysis of BAO and RSD from the full eBOSS LRG sample, improving constraints on key cosmological parameters.

Findings

Measured $D_M/r_d$, $D_H/r_d$, and $f\sigma_8$ with improved precision.

Results are consistent with flat $\Lambda$CDM and standard gravity.

Validated methodology on realistic simulations.

Abstract

We present the cosmological analysis of the configuration-space anisotropic clustering in the completed Sloan Digital Sky Survey IV (SDSS-IV) extended Baryon Oscillation Spectroscopic Survey (eBOSS) DR16 galaxy sample. This sample consists of luminous red galaxies (LRGs) spanning the redshift range $0.6 < z < 1$, at an effective redshift of $z_{\rm eff}=0.698$. It combines 174 816 eBOSS LRGs and 202 642 BOSS CMASS galaxies. We extract and model the baryon acoustic oscillations (BAO) and redshift-space distortions (RSD) features from the galaxy two-point correlation function to infer geometrical and dynamical cosmological constraints. The adopted methodology is extensively tested on a set of realistic simulations. The correlations between the inferred parameters from the BAO and full-shape correlation function analyses are estimated. This allows us to derive joint constraints on the three cosmological parameter combinations: $D_M(z)/r_d$, $D_H(z)/r_d$ and $f\sigma_8(z)$, where $D_M$ is the comoving angular diameter distance, $D_H$ is Hubble distance, $r_d$ is the comoving BAO scale, $f$ is the linear growth rate of structure, and $\sigma_8$ is the amplitude of linear matter perturbations. After combining the results with those from the parallel power spectrum analysis of Gil-Marin et al. 2020, we obtain the constraints: $D_M/r_d = 17.65 \pm 0.30$, $D_H/r_d = 19.77 \pm 0.47$, $f\sigma_8 = 0.473 \pm 0.044$. These measurements are consistent with a flat $\Lambda$CDM model with standard gravity.