Measurements of the cosmological parameters ${\Omega }_m$, ${\Omega }_k$, ${\Omega }_{\text{de}}(a)$, $H_0$, and $\sum m_{\nu }$

Abstract

From Baryon Acoustic Oscillation measurements with Sloan Digital Sky Survey SDSS DR14 galaxies, and the acoustic horizon angle ${\theta }_{\ast }$ measured by the Planck Collaboration, we obtain ${\Omega }_m=0.2724\pm 0.0047$, and $h+0.020\cdot \sum m_{\nu }=0.7038\pm 0.0060$, assuming flat space and a cosmological constant. We combine this result with the 2018 Planck `TT,TE,EE$+$lowE$+$lensing' analysis, and update a study of $\sum m_{\nu }$ with new direct measurements of ${\sigma }_8$, and obtain $\sum m_{\nu }=0.27\pm 0.08$ eV assuming three nearly degenerate neutrino eigenstates. Measurements are consistent with ${\Omega }_k=0$, and ${\Omega }_{\text{de}}(a)={\Omega }_{\Lambda }$ constant.

11 pages, 6 figures