Improved limit on the neutrino mass with CMB and redshift-dependent halo bias-mass relations from SDSS, DEEP2, and Lyman-break galaxies

We use 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 5-year cosmic microwave background anisotropy data and SDSS Red Luminous Galaxy survey three-dimensional clustering power spectrum to put constraints on cosmological parameters. Fitting this combined dataset, we show that the luminosity-dependent bias data that probe the relation between halo bias and halo mass and its redshift evolution are very sensitive to sum of the neutrino masses: in particular, we obtain the upper limit of ∑m_ν<0.28  eV at the 95% confidence level for a ΛCDM+m_ν 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+m_ν model with the 95% confidence level upper limit on the neutrino masses at ∑m_ν<0.59  eV. The constraint on the dark energy equation of state further improves to w=-1.125±0.092 when using also ACBAR and supernovae Union data, in addition to above, with a prior on the Hubble constant from the Hubble Space Telescope.