Cosmological inference from the EFTofLSS: the eBOSS QSO full-shape analysis

We present cosmological results inferred from the effective-field theory (EFT) analysis of the full-shape of eBOSS quasars (QSO) power spectrum. We validate our analysis pipeline against simulations, and find overall good agreement between the analyses in Fourier and configuration space. Keeping the baryon abundance and the spectral tilt fixed, we reconstruct at 68% CL the fractional matter abundance Omega(m), the reduced Hubble constant h, and the clustering amplitude sigma(8), to respectively Omega(m) = 0.327 +/- 0.035, h = 0.655 +/- 0.034, and sigma(8) = 0.880 +/- 0.083 from eBOSS QSO alone. These constraints are consistent at less than or similar to 1.8 sigma with the ones from Planck and from the EFT analysis of BOSS full-shape. Interestingly S-8 reconstructed from eBOSS QSO is slightly higher than that deduced from Planck and BOSS, although statistically consistent. In combination with the EFT likelihood of BOSS, supernovae from Pantheon, and BAO from lyman-alpha and 6dF/MGS, constraints improve to Omega(m) = 0.2985 +/- 0.0069 and h = 0.6803 +/- 0.0075, in agreement with Planck and with similar precision. We also explore one-parameter extensions to Lambda CDM and find that results are consistent with flat Lambda CDM at less than or similar to 1.3 sigma. We obtain competitive constraints on the curvature density fraction Omega(k) = -0.039 +/- 0.029, the dark energy equation of state w(0) = -1.038 +/- 0.041, the effective number of relativistic species N-eff = 3.44(-0.91)(+0.44) at 68% CL, and the sum of neutrino masses Sigma m(nu) < 0.274 eV at 95% CL, without Planck data. Including Planck data, contraints significantly improve thanks to the large lever arm in redshift between LSS and CMB measurements. In particular, we obtain the stringent constraint Sigma m(nu) < 0.093 eV, competitive with recent lyman-alpha forest power spectrum bound.