Study of Galaxy Distributions with SDSS DR14 Data and Measurement of Neutrino Masses

Abstract

We study galaxy distributions with Sloan Digital Sky Survey SDSS DR14 data and with simulations searching for variables that can constrain neutrino masses. To be specific, we consider the scenario of three active neutrino eigenstates with approximately the same mass, so Σm v =3m v . Fitting the predictions of the ΛCDM model to the Sachs-Wolfe effect, σ 8 , the galaxy power spectrum P ga1 ( k ) , fluctuations of galaxy counts in spheres of radii ranging from 16/h to 128/h Mpc, Baryon Acoustic Oscillation (BAO) measurements, and h =0.678±0.009 , in various combinations, with free spectral index n , and free galaxy bias and galaxy bias slope , we obtain consistent measurements of Σm v . The results depend on h , so we have presented confidence contours in the (Σm v, h ) plane. A global fit with h =0.678±0.009 obtains eV, and the amplitude and spectral index of the power spectrum of linear density fluctuations P(k) : , and n=1.021±0.075 . The fit also returns the galaxy bias b including its scale dependence.