Physical Sciences and Mathematics Commons^™

Impact Of Massive Neutrinos On The Nonlinear Matter Power Spectrum, Shun Saito, Masahiro Takada, Atsushi Taruya

Physics Faculty Research & Creative Works

We present the first attempt to analytically study the nonlinear matter power spectrum for a mixed dark matter model containing neutrinos of total mass ~0.1eV, based on cosmological perturbation theory. The suppression in the power spectrum amplitudes due to massive neutrinos is enhanced in the weakly nonlinear regime. We demonstrate that, thanks to this enhanced effect, the use of such a nonlinear model may enable a precision of σ(_mν,tot) ~ 0. 07eV in constraining the total neutrino mass for the planned galaxy redshift survey, a factor of 2 improvement compared to the linear regime.