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

Abstract

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 $\ensuremath{\sum}_{}^{}{m}_{\ensuremath{\nu}}<0.28\text{ }\text{ }\mathrm{eV}$ at the 95% confidence level for a $\ensuremath{\Lambda}\mathrm{CDM}+{m}_{\ensuremath{\nu}}$ model, with a ${\ensuremath{\sigma}}_{8}$ equal to ${\ensuremath{\sigma}}_{8}=0.759\ifmmode\pm\else\textpm\fi{}0.025$ ($1\ensuremath{\sigma}$). When we allow the dark energy equation-of-state parameter $w$ to vary, we find $w=\ensuremath{-}1.30\ifmmode\pm\else\textpm\fi{}0.19$ for a general $w\mathrm{CDM}+{m}_{\ensuremath{\nu}}$ model with the 95% confidence level upper limit on the neutrino masses at $\ensuremath{\sum}_{}^{}{m}_{\ensuremath{\nu}}<0.59\text{ }\text{ }\mathrm{eV}$. The constraint on the dark energy equation of state further improves to $w=\ensuremath{-}1.125\ifmmode\pm\else\textpm\fi{}0.092$ when using also ACBAR and supernovae Union data, in addition to above, with a prior on the Hubble constant from the Hubble Space Telescope.