Neutrino oscillation constraints on neutrinoless double beta decay

Abstract

We have studied the constraints imposed by the results of neutrino oscillation experiments on the effective Majorana mass |<m>| that characterizes the contribution of Majorana neutrino masses to the matrix element of neutrinoless double-beta decay. We have shown that in a general scheme with three Majorana neutrinos and a hierarchy of neutrino masses (which can be explained by the see-saw mechanism), the results of neutrino oscillation experiments imply rather strong constraints on the parameter |<m>|. From the results of the first reactor long-baseline experiment CHOOZ and the Bugey experiment it follows that |<m>| < 3x10^{-2} eV if the largest mass-squared difference is smaller than 2 eV^2. Hence, we conclude that the observation of neutrinoless double-beta decay with a probability that corresponds to |<m>| > 10^{-1} eV would be a signal for a non-hierarchical neutrino mass spectrum and/or non-standard mechanisms of lepton number violation.

20 pages, including 4 figures

References in corpus (5)

• Neutrinos in Physics and Astrophysics
• A Large Scale Double Beta and Dark Matter Experiment: GENIUS
• R-parity Conserving Supersymmetry, Neutrino Mass and Neutrinoless Double Beta Decay
• Reconciling solar and terrestrial neutrino oscillation evidences with minimum sacrifice
• A large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay

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• Neutrino mass spectrum and neutrinoless double beta decay
• Constraints from Neutrino Oscillation Experiments on the Effective Majorana Mass in Neutrinoless Double $\beta$-Decay
• Cancellations in Neutrinoless Double Beta Decay and the Neutrino Mass Matrix
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: II. Mixing of Four Neutrinos
• Implications of CHOOZ results for the decoupling of solar and atmospheric neutrino oscillations
• Nature of neutrinos in the light of present and future experiments
• Neutrino oscillation experiments and limits on lepton-number and lepton-flavor violating processes
• Neutrinoless double-beta decay with three or four neutrino mixing
• In Quest of Neutrino Masses at $\mathcal{O}$(eV) Scale
• Neutrino oscillations and neutrinoless double beta decay
• Electron-Neutrino Majorana Mass and Solar Neutrino Oscillations
• Finally neutrino has mass
• On the neutrino mass spectrum and neutrino mixing from oscillation data