paper

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

arXiv:2007.08993 · doi:10.1093/mnras/staa2800

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 $z_{eff} = 0.698$ . 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 $f I ¨ _{8} (z)$ , 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 $I ¨ _{8}$ 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: $D_{M} / r_{d} = 17.65 \pm 0.30$ , $D_{H} / r_{d} = 19.77 \pm 0.47$ , $f I ¨ _{8} = 0.473 \pm 0.044$ . These measurements are consistent with a flat $I^$ CDM model with standard gravity.

29 pages, 21 figures. Matches accepted version after minor modifications. A summary of all SDSS BAO and RSD measurements with accompanying legacy figures can be found here: https://www.sdss.org/science/final-bao-and-rsd-measurements The full cosmological interpretation of these measurements can be found here: https://www.sdss.org/science/cosmology-results-from-eboss/