SO(3) Gauge Symmetry and Neutrino-Lepton Flavor Physics

Abstract

Based on the SO(3) gauge symmetry for three family leptons and general see-saw mechanism, we present a simple scheme that allows three nearly degenerate Majorana neutrino masses needed for hot dark matter. The vacuum structure of the spontaneous SO(3) symmetry breaking can automatically lead to a maximal CP-violating phase. Thus the current neutrino data on both the atmospheric neutrino anomaly and solar neutrino deficit can be accounted for via maximal mixings without conflict with the current data on the neutrinoless double beta decay. The model also allows rich interesting phenomena on lepton flavor violations.

10 pages, Revtex, no figures, minor changes and references added, the version to appear in Phys. Rev. D

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• Neutrino Masses and Mixing: Evidence and Implications
• 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
• 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
• Large and Almost Maximal Neutrino Mixing within the Type II See-Saw Mechanism
• Leptogenesis in Unified Theories with Type II See-Saw
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Naturally Degenerate Right Handed Neutrinos
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• 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
• The Mass Difference of $F-\bar{F}$ with SO(3) Family Gauge Symmetry
• Predictive SUSY GUT Model for CP Violation, Fermion Masses and Mixings