Title: Neutrino mass and dark energy constraints from redshift-space distortions,
Abstract: Cosmology in the near future promises a measurement of the sum of neutrino
masses, a fundamental Standard Model parameter, as well as
substantially-improved constraints on the dark energy. We use the shape of the
BOSS redshift-space galaxy power spectrum, in combination with CMB and
supernova data, to constrain the neutrino masses and the dark energy. Essential
to this calculation are several recent advances in non-linear cosmological
perturbation theory, including FFT methods, redshift space distortions, and
scale-dependent growth. Our 95% confidence upper bound of 200 meV on the sum of
masses degrades substantially to 770 meV when the dark energy equation of state
and its first derivative are also allowed to vary, representing a significant
challenge to current constraints. We also study the impact of additional galaxy
bias parameters, finding that a velocity bias or a more complicated
scale-dependent density bias shift the preferred neutrino mass values 20%-30%
lower while minimally impacting the other cosmological parameters.