Splitting of Three Nearly Mass-Degenerate Neutrinos

Abstract

Assuming the canonical seesaw mechanism together with an SO(3) family symmetry for leptons, broken only by the charged-lepton masses, I show that the three neutrinos of Majorana mass $m_0$ are split radiatively in two loops by a maximum finite calculable amount of order $10^{-9}{m}_0$. This is very suitable for dark matter and vacuum solar neutrino oscillations. I also discuss how atmospheric neutrino oscillations can be incorporated.

11 pages including 1 figure, slightly revised version to appear in Physics Letters B

References in corpus (4)

• Evidence for oscillation of atmospheric neutrinos
• Pathways to Naturally Small Neutrino Masses
• Where do we stand with solar neutrino oscillations?
• Degenerate Dirac Neutrinos

Cited by in corpus (23)

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• From Hierarchical to Partially Degenerate Neutrinos via Type II Upgrade of Type I See-Saw Models
• Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices
• The Interplay between Neutrinos and Charged Leptons in the Minimal SU(3)_LxU(1)_N Gauge Model
• Stability of Neutrino Mass Degeneracy
• See-saw Mechanisms for Dirac and Majorana Neutrino Masses
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• Baryogenesis and Degenerate Neutrinos
• Large and Almost Maximal Neutrino Mixing within the Type II See-Saw Mechanism
• MSLED, Neutrino Oscillations and the Cosmological Constant
• Understanding neutrino properties from decoupling right-handed neutrinos and extra Higgs doublets
• Leptogenesis in Unified Theories with Type II See-Saw
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations
• Naturally Degenerate Right Handed Neutrinos
• Cornering (quasi) degenerate neutrinos with cosmology
• Gauge Theory Model of the Neutrino and New Physics Beyond the Standard Model
• Renormalization-Group Effects in the SO(3) Gauge Model With Nearly Degenerate Neutrino Masses and Bi-maximal Mixing
• Spontaneous Breaking of Flavor Symmetry and Naturalness of Nearly Degenerate Neutrino Masses and Bi-maximal Mixing
• Leptonic CP Violation and Wolfenstein Parametrization for Lepton Mixing
• $SU(3{)}_F$ Gauge Family Model and New Symmetry Breaking Scale From FCNC Processes
• The Mass Difference of $F-\bar{F}$ with SO(3) Family Gauge Symmetry
• Nearly Mass-Degenerate Majorana Neutrinos: Double Beta Decay and Neutrino Oscillations