Weighing Neutrinos with Galaxy Surveys

Abstract

We show that galaxy redshift surveys sensitively probe the neutrino mass, with eV mass neutrinos suppressing power by a factor of two. The Sloan Digital Sky Survey can potentially detect $N$ nearly degenerate massive neutrino species with mass m_nu > 0.65 (Omega_m h^2/0.1 N)^{0.8} eV at better than 2sigma once microwave background experiments measure two other cosmological parameters. Significant overlap exists between this region and that implied by the LSND experiment, and even m_nu ~ 0.01-0.1 eV, as implied by the atmospheric anomaly, can affect cosmological measurements.

4 pages, Revtex, 3 ps figures included, version accepted by PRL; caveats added about scale-dependent bias; additional color delta m^2 plot available at http://www.sns.ias.edu/~whu