Cosmological parameters and neutrino masses from the final Planck and full-shape BOSS data

We present a joint analysis of the Planck cosmic microwave background (CMB) and Baryon Oscillation Spectroscopic Survey (BOSS) final data releases. A key novelty of our study is the use of a new full-shape (FS) likelihood for the redshift-space galaxy power spectrum of the BOSS data, based on an improved perturbation theory template. We show that the addition of the redshift-space galaxy clustering measurements breaks degeneracies present in the CMB data alone and tightens constraints on cosmological parameters. Assuming the minimal.CDM cosmology with massive neutrinos, we find the following late-Universe parameters: the Hubble constant H-0 = 67.95(-0.52)(+0.66) km s(-1) Mpc(-1), the matter density fraction Omega(m) = 0.3079(-0.0085)(+0.0065), the mass fluctuation amplitude sigma(8) = 0.8087(-0.0072)(+0.012), and an upper limit on the sum of neutrino masses M-tot < 0.16 eV (95% C.L.). This can be contrasted with the Planck-only measurements: H-0 = 67.14(-0.72)(+1.3) km s(-1) Mpc(-1), Omega(m) = 0.3188(-0.016)(+0.0091), sigma(8) = 0.8053(-0.0091)(+0.019), and M-tot < 0.26 eV (95% C.L.). Our bound on the sum of neutrino masses relaxes once the hierarchy-dependent priors from the oscillation experiments are imposed. The addition of the new FS likelihood also constrains the effective number of extra relativistic degrees of freedom, N-eff = 2.88 +/- 0.17. Our study shows that the current FS and the pure baryon acoustic oscillation data add a similar amount of information in combination with the Planck likelihood. We argue that this is just a coincidence given the BOSS volume and efficiency of the current reconstruction algorithms. In the era of future surveys FS will play a dominant role in cosmological parameter measurements.