Degenerate Dirac Neutrinos

Abstract

A simple extension of the standard model is proposed in which all the three generations of neutrinos are Dirac particles and are naturally light. We then assume that the neutrino mass matrix is diagonal and degenerate, with a few eV mass to solve the dark matter problem. The self energy radiative corrections, however, remove this degeneracy and allow mixing of these neutrinos. The electroweak radiative corrections then predict a lower bound on the ${\nu }_{\mu }-{\nu }_e$ mass difference which solves the solar neutrino problem through MSW mechanism and also predict a lower bound on the ${\nu }_{\tau }-{\nu }_{\mu }$ mass difference which is just enough to explain the atmospheric neutrino problem as reported by super Kamiokande.

11 pages latex file

References in corpus (5)

• Evidence for oscillation of atmospheric neutrinos
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• Study of the atmospheric neutrino flux in the multi-GeV energy range
• KARMEN Limits on nu_e -> nu_tau Oscillations in 2-neutrino and 3-neutrino Mixing Schemes

Cited by in corpus (10)

• Pseudo-Dirac Neutrinos in the New Standard Model
• Pseudo-Dirac Neutrino Scenario: Cosmic Neutrinos at Neutrino Telescopes
• Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices
• Realistic Neutrinogenesis with Radiative Vertex Correction
• Splitting of Three Nearly Mass-Degenerate Neutrinos
• MSLED, Neutrino Oscillations and the Cosmological Constant
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations
• Models of Neutrino Masses and Baryogenesis
• A texture of neutrino mass matrix in view of recent neutrino experimental results