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We present the cosmological analysis of the configuration-space anisotropicclustering in the completed Sloan Digital Sky Survey IV (SDSS-IV) extendedBaryon Oscillation Spectroscopic Survey (eBOSS) DR16 galaxy sample. This sampleconsists 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 eBOSSLRGs and 202 642 BOSS CMASS galaxies. We extract and model the baryon acousticoscillations (BAO) and redshift-space distortions (RSD) features from thegalaxy two-point correlation function to infer geometrical and dynamicalcosmological constraints. The adopted methodology is extensively tested on aset of realistic simulations. The correlations between the inferred parametersfrom the BAO and full-shape correlation function analyses are estimated. Thisallows us to derive joint constraints on the three cosmological parametercombinations: $D_M(z)/r_d$, $D_H(z)/r_d$ and $f\sigma_8(z)$, where $D_M$ is thecomoving angular diameter distance, $D_H$ is Hubble distance, $r_d$ is thecomoving BAO scale, $f$ is the linear growth rate of structure, and $\sigma_8$is the amplitude of linear matter perturbations. After combining the resultswith those from the parallel power spectrum analysis of Gil-Marin et al. 2020,we obtain the constraints: $D_M/r_d = 17.65 \pm 0.30$, $D_H/r_d = 19.77 \pm0.47$, $f\sigma_8 = 0.473 \pm 0.044$. These measurements are consistent with aflat $\Lambda$CDM model with standard gravity.

monthly notices of the royal astronomical society

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