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We use measurements of luminosity-dependent galaxy bias at several differentredshifts, SDSS at $z=0.05$, DEEP2 at $z=1$ and LBGs at $z=3.8$, combined withWMAP five-year cosmic microwave background anisotropy data and SDSS RedLuminous Galaxy survey three-dimensional clustering power spectrum to putconstraints on cosmological parameters. Fitting this combined dataset, we showthat the luminosity-dependent bias data that probe the relation between halobias and halo mass and its redshift evolution are very sensitive to sum of theneutrino masses: in particular we obtain the upper limit of $\summ_{\nu}<0.28$eV at the 95% confidence level for a $\Lambda CDM + m_{\nu}$model, with a $\sigma_8$ equal to $\sigma_8=0.759\pm0.025$ (1$\sigma$). When weallow the dark energy equation of state parameter $w$ to vary we find$w=-1.30\pm0.19$ for a general $wCDM+m_{\nu}$ model with the 95% confidencelevel upper limit on the neutrino masses at $\sum m_{\nu}<0.59$eV. Theconstraint on the dark energy equation of state further improves to$w=-1.125\pm0.092$ when using also ACBAR and supernovae Union data, in additionto above, with a prior on the Hubble constant from the Hubble Space Telescope.

An improved limit on the neutrino mass with CMB and redshift-dependent halo bias-mass relations from SDSS, DEEP2, and Lyman-Break Galaxies