Weighing Neutrinos with Galaxy Surveys

We show that galaxy redshift surveys sensitively probe the neutrino mass, with eV mass neutrinos suppressing power by a factor of 2. The Sloan Digital Sky Survey can potentially detect N nearly degenerate massive neutrino species with mass m_ν0.65(Ωₘh²/0.1N)0.80ex0exeV at better than 2σ once microwave background experiments measure two other cosmological parameters. Significant overlap exists between this region and that implied by the Liquid Scintillator Neutrino Detector experiment, and even m_ν~0.01--0.1eV, as implied by the atmospheric anomaly, can affect cosmological measurements.