Cosmological Measurements from Angular Power Spectra Analysis of BOSS DR12 Tomography

Abstract

We constrain cosmological parameters by analysing the angular power spectra of the Baryon Oscillation Spectroscopic Survey DR12 galaxies, a spectroscopic follow-up of around 1.3 million SDSS galaxies over 9,376 deg${}^2$ with an effective volume of $\sim 6.5$ (Gpc $h^{-1}$)${}^3$ in the redshift range $0.15\le z<0.80$. We split this sample into 13 tomographic bins ($\Delta z=0.05$); angular power spectra were calculated using a Pseudo-$C_{\ell }$ estimator, and covariance matrices were estimated using log-normal simulated maps. Cosmological constraints obtained from these data were combined with constraints from Planck CMB experiment as well as the JLA supernovae compilation. Considering a $w$CDM cosmological model measured on scales up to $k_{max}=0.07h$ Mpc${}^{-1}$, we constrain a constant dark energy equation-of-state with a $\sim 4\%$ error at the 1-$\sigma$ level: $w_0=-0.993_{-0.043}^{+0.046}$, together with ${\Omega }_m=0.330\pm 0.012$, ${\Omega }_b=0.0505\pm 0.002$, $S_8\equiv {\sigma }_8\sqrt{{\Omega }_m/0.3}=0.863\pm 0.016$, and $h=0.661\pm 0.012$. For the same combination of datasets, but now considering a $\Lambda$CDM model with massive neutrinos and the same scale cut, we find: ${\Omega }_m=0.328\pm 0.009$, ${\Omega }_b=0.05017_{-0.0008}^{+0.0009}$, $S_8=0.862\pm 0.017$, and $h=0.663_{-0.007}^{+0.006}$ and a 95\% credible interval (CI) upper limit of $\sum m_{\nu }<0.14$ eV for a normal hierarchy. These results are competitive if not better than standard analyses with the same dataset, and demonstrate this should be a method of choice for future surveys, opening the door for their full exploitation in cross-correlations probes.

arXiv comment28 pages, 28 figures, 3 appendices

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