  We combine the measurements of luminosity dependence of bias with the
luminosity dependent weak lensing analysis of dark matter around galaxies to
derive the galaxy bias and constrain nonlinear mass and cosmological
parameters. We take advantage of theoretical and simulation predictions that
predict that while halo bias is rapidly increasing with mass for high masses,
it is nearly constant in low mass halos. We use a new weak lensing analysis
around the same SDSS galaxies to determine their halo mass probability
distribution. These halo mass probability distributions are used to predict the
bias for each luminosity subsample and we find an excellent agreement with
observed values. The required nonlinear mass suggests slightly lower matter
density than usually assumed, Omegam=0.25+/- 0.03 for the simplest models. We
combine the bias constraints with those from the WMAP and the SDSS power
spectrum analysis to derive new constraints on bias and sigma_8. For the most
general parameter space we find sigma_8=0.88+/- 0.06 and b_*=0.99+/- 0.07. In
the context of spatially flat models we improve the limit on the neutrino mass
for the case of 3 degenerate families from m_nu<0.6eV without bias to
m_nu<0.18eV with bias (95% c.l.), which is weakened to m_nu<0.24eV if running
is allowed. The corresponding limit for 3 massless + 1 massive neutrino is
1.37eV.
