NEW LIMITS ON THE NEUTRINO MASS FROM COSMOLOGY

We place a nre upper limit on the sum of neutrino masses by using measurements of luminosity-dependent galaxy bias at several different redshifts, SDSS at z = 0.05, DEEP2 at z = 1 and LBGs at z = 3.8, combined with WMAP five-year cosmic microwave background anisotropy data and SDSS Red Luminous Galaxy survey three-dimensional clustering power spectrum. We obtain the upper limit of ∑ mν < 0.28eV at the 95% confidence level for a ΛCDM + mν model, with a σ8 equal to σ8 = 0.759 ± 0.025 (1σ). When we allow the dark energy equation of state parameter w to vary we find w = -1.30 ± 0.19 for a general wCDM + mν model with the 95% confidence level upper limit on the neutrino masses at ∑ mν < 0.59eV. Finally, we have investigated the ability of the future Euclid mission to constrain differences in the mass of individual neutrino species.