Majorana neutrino masses from neutrinoless double beta decay and cosmology

When three Majorana neutrinos describe the solar and atmospheric neutrino data via oscillations, a nonzero measurement of neutrinoless double beta (0 nu beta beta) decay can determine the sum of neutrino masses Sigma m(nu) if the solar solution has small-angle mixing, and place a lower bound on Cm, for large-angle solar mixing. If in addition a nonzero Gin, is deduced from cosmology, the neutrino mass spectrum may be uniquely specified for some ranges of neutrino parameters. For Sigma m(nu) > 0.75 eV, the small-angle solar solution is excluded by the current upper limit on neutrinoless double beta decay. In models with maximal solar mixing the CP phases of the neutrinos may be strongly constrained by stringent upper bounds on 0 nu beta beta decay. (C) 1999 Published by Elsevier Science B.V. All rights reserved.