Neutrino Mass Spectrum and Neutrinoless Double Beta Decay

The relations between the effective Majorana mass of the electron neutrino, mee, responsible for neutrinoless double beta decay, and the neutrino oscillation parameters are considered. We show that for any specific oscillation pattern mee can take any value (from zero to the existing upper bound) for normal mass hierarchy and it can have a minimum for inverse hierarchy. This means that oscillation experiments cannot fix in general mee. Mass ranges for mee can be predicted in terms of oscillation parameters with additional assumptions about the level of degeneracy and the type of hierarchy of the neutrino mass spectrum. These predictions for mee are systematically studied in the specific schemes of neutrino mass and flavor which explain the solar and atmospheric neutrino data. The contributions from individual mass eigenstates in terms of oscillation parameters have been quantified. We study the dependence of mee on the non-oscillation parameters: the overall scale of the neutrino mass and the relative mass phases. We analyze how forthcoming oscillation experiments will improve the predictions for mee. On the basis of these studies we evaluate the discovery potential of future 0νββ decay searches. The role 0νββ decay searches will play in the reconstruction of the neutrino mass spectrum is clarified. The key scales of mee, which will lead to the discrimination among various schemes are: mee ∼ 0.1 eV and mee ∼ 0.005 eV.