Schizophrenic Neutrinos and $\nu$-less Double Beta Decay

Abstract

We point out a novel possibility for neutrinos where all neutrino flavors can be part Dirac and part Majorana. Our primary motivation for this model comes from an attempt to use supersymmetric see-saw models to tie inflation, baryon asymmetry of the Universe and dark matter to the neutrino sector. The idea however could stand on its own, with or without supersymmetry. We present a realization of this possibility within an $S_3$ family symmetry for neutrino masses, where we obtain tri-bi-maximal mixing for neutrinos to the leading order. The model predicts that for the case of inverted hierarchy, the lower limit on the neutrino mass measured in neutrinoless double beta decay experiments is about a factor of two larger than the usual case.

6 pages, 1 figure. Extended discussion on the pseudo-Dirac mass splitting due to loop corrections

References in corpus (15)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Updated global fit to three neutrino mixing: status of the hints of theta13 > 0
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: I. The Three-Neutrino Mixing Case
• Neutrino oscillations and signals in beta and 0nu2beta experiments
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Soft Leptogenesis
• Leptogenesis from Supersymmetry Breaking
• Pseudo-Dirac Neutrinos in the New Standard Model
• A-term inflation and the smallness of the neutrino masses
• Unifying inflation and dark matter with neutrino masses
• New Ways to Soft Leptogenesis
• Perturbed S3 neutrinos
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry

Cited by in corpus (18)

• Neutrino-less Double Beta Decay and Particle Physics
• Neutrino Mass and Mixing: from Theory to Experiment
• Neutrinoless double beta decay and neutrino physics
• Lepton Number Violation and `Diracness' of massive neutrinos composed of Majorana states
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Phenomenological study of extended seesaw model for light sterile neutrino
• Schizophrenic active neutrinos and exotic sterile neutrinos
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Testing the Bimodal/Schizophrenic Neutrino Hypothesis in Neutrinoless Double Beta Decay and Neutrino Telescopes
• Quasi-Dirac neutrinos in a model with local $B-L$ symmetry
• Dark matter indirect detection signals and the nature of neutrinos in the supersymmetric $U(1{)}_{B-L}$ extension of the standard model
• Split neutrinos - leptogenesis, dark matter and inflation
• Distinguishing among dark matter annihilation channels with neutrino telescopes
• Bimodal/Schizophrenic Neutrino As a Bridge between Inflation and Dark Energy
• Tiny neutrino mass from SUSY and lepton number breaking sector
• Quasi-Dirac neutrinos and solar neutrino data
• 50 Years of Neutrino Physics
• Status and Perspectives of Neutrino Physics