Neutrinoless double-beta decay with three or four neutrino mixing

Abstract

Considering the scheme with mixing of three neutrinos and a mass hierarchy that can accommodate the results of solar and atmospheric neutrino experiments, it is shown that the results of solar neutrino experiments imply a lower bound for the effective Majorana mass in neutrinoless double-beta decay, under the natural assumptions that massive neutrinos are Majorana particles and there are no unlikely fine-tuned cancellations among the contributions of the different neutrino masses. Considering the four-neutrino schemes that can accommodate also the results of the LSND experiment, it is shown that only one of them is compatible with the results of neutrinoless double-beta decay experiments and with the measurement of the abundances of primordial elements produced in Big-Bang Nucleosynthesis. It is shown that in this scheme, under the assumptions that massive neutrinos are Majorana particles and there are no cancellations among the contributions of the different neutrino masses, the results of the LSND experiment imply a lower bound for the effective Majorana mass in neutrinoless double-beta decay.

18 pages including 2 figures, RevTeX

References in corpus (5)

• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenarios
• Is Large Mixing Angle MSW the Solution of the Solar Neutrino Problems?
• Four-Neutrino Mass Spectra and the Super-Kamiokande Atmospheric Up-Down Asymmetry
• Majorana Neutrino Masses from Neutrinoless Double Beta Decay and Cosmology

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• Four--Neutrino Oscillation Solutions of the Solar Neutrino Problem
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: II. Mixing of Four Neutrinos
• Neutrino Oscillations v.s. Leptogenesis in SO(10) Models
• Vanishing effective mass of the neutrinoless double beta decay including light sterile neutrinos
• Solar and Atmospheric Four-Neutrino Oscillations
• Matter Effects in Four-Neutrino Mixing
• MiniBooNE Results and Neutrino Schemes with 2 sterile Neutrinos: Possible Mass Orderings and Observables related to Neutrino Masses
• Constraining Mass Spectra with Sterile Neutrinos from Neutrinoless Double Beta Decay, Tritium Beta Decay and Cosmology
• In Quest of Neutrino Masses at $\mathcal{O}$(eV) Scale
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• Reconciling neutrino anomalies in a simple four-neutrino scheme with R-parity violation
• Last CPT-Invariant Hope for LSND Neutrino Oscillations
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