Cosmological measurement of neutrino mass in the presence of leptonic asymmetry - art. no. 023001

We show that even the smallest neutrino mass consistent with the Super-Kami okande data is relevant for cosmological models of structure formation and cosmic microwave background (CMB) anisotropies, provided that a relic neutr ino asymmetry exists. We calculate the precision with which a 0.07 eV neutr ino mass could be extracted from CMB anisotropy and large-scale structure d ata by the future Planck satellite and Sloan Digital Sky Survey. We find th at such a mass can be detected, assuming a large relic neutrino asymmetry s till allowed by current experimental data. This measurement of the absolute value of the neutrino mass would be crucial for our understanding of neutr ino models.