Constraining four neutrino mass patterns from neutrinoless double beta decay

Abstract

All existing data on neutrino oscillations (including those from the LSND experiment) imply a four neutrino scheme with six different allowed mass patterns. Some of the latter are shown to be disfavored by using a conservative upper bound on the $\beta beta0\nu$ nuclear decay rate, if neutrinos are assumed to be Majorana particles. Comparisons are also made with restrictions from tritium $\beta$-decay and cosmology.

One equation and three entries in a table have been changed, some typographical errors corrected and a few references added. The basic conclusions are not changed. To be published in Physics Letters. B., 9 pages, 4 figures

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• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
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• Unknowns after the SNO Charged-Current Measurement
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• Neutrinoless double beta decay and neutrino physics
• Status of Evidence for Neutrinoless Double Beta Decay
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• Constraining Mass Spectra with Sterile Neutrinos from Neutrinoless Double Beta Decay, Tritium Beta Decay and Cosmology
• Neutrino masses from beta decays after KamLAND and WMAP (Updated including the NC enhanced SNO data)
• Operator Analysis of Neutrinoless Double Beta Decay
• CP-phase effects on the effective neutrino mass $m_{ee}$ in the case of quasi-degenerate neutrinos
• Neutrinoless Double Beta Decay in Supersymmetric Seesaw model