Spontaneous Breaking of Flavor Symmetry and Naturalness of Nearly Degenerate Neutrino Masses and Bi-maximal Mixing

Abstract

The gauge model with $SO(3{)}_F$ flavor symmetry and three Higgs triplets is studied. We show how the intriguing nearly degenerate neutrino mass and bi-maximal mixing scenario comes out naturally after spontaneous breaking of the symmetry. The hierarchy between the neutrino mass-squared differences, which is needed for reconciling both solar and atmospheric neutrino data, is naturally resulted from an approximate permutation symmetry. The model can also lead to interesting phenomena on lepton-flavor violations via the $SO(3{)}_F$ gauge interactions.

13 pages, latex, no figures, the version appearing in SCIENCE IN CHINA (Series A), Vol.35 No.9 (2000)

References in corpus (10)

• Evidence for oscillation of atmospheric neutrinos
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• Measurement of the flux and zenith-angle distribution of upward through-going muons by Super-Kamiokande
• Bi-Maximal Mixing of Three Neutrinos
• How Uncertain Are Solar Neutrino Predictions?
• Measurement of the solar neutrino energy spectrum using neutrino-electron scattering
• Limits on the Majorana neutrino mass in the 0.1 eV range
• Natural Maximal ny_my - ny_tau Mixing
• Supersymmetric model of quasi-degenerate neutrinos
• Splitting of Three Nearly Mass-Degenerate Neutrinos

Cited by in corpus (8)

• Neutrino Mass Models
• Before and After: How has the SNO NC measurement changed things?
• From Hierarchical to Partially Degenerate Neutrinos via Type II Upgrade of Type I See-Saw Models
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• Gauge Theory Model of the Neutrino and New Physics Beyond the Standard Model
• Leptonic CP Violation and Wolfenstein Parametrization for Lepton Mixing
• SO(3) Gauge Symmetry and Nearly Tri-bimaximal Neutrino Mixing
• The Mass Difference of $F-\bar{F}$ with SO(3) Family Gauge Symmetry