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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
Julian E. Bautista, Romain Paviot, Mariana Vargas Magaña, Sylvain de la Torre, Sebastien Fromenteau, Hector Gil-Marín, Ashley J. Ross, Etienne Burtin, Kyle S. Dawson, Jiamin Hou, Jean-Paul Kneib, Arnaud de Mattia, Will J. Percival, Graziano Rossi, Rita Tojeiro, Cheng Zhao, Gong-Bo Zhao, Shadab Alam, Joel Brownstein, Michael J. Chapman, Peter D. Choi, Chia-Hsun Chuang, Stéphanie Escoffier, Axel de la Macorra, Hélion du Mas des Bourboux, Faizan G. Mohammad, Jeongin Moon, Eva-Maria Müller, Seshadri Nadathur, Jeffrey A. Newman, Donald Schneider, Hee-Jong Seo, Yuting Wang
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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 fσ₈(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 σ₈ 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 ±0.30, D_H/r_d = 19.77 ±0.47, fσ₈ = 0.473 ±0.044. These measurements are consistent with a flat ΛCDM model with standard gravity.
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