SO(3) Gauge model for neutrino masses and oscillations

Abstract

I mainly describe neutrino masses and oscillations in the gauge model with $SO(3{)}_F$ lepton flavor symmetry and with two Higgs triplets. It is shown how the maximal mixing between ${\nu }_{\mu }$ and ${\nu }_{\tau }$ neutrinos comes out naturally after spontaneous breaking of the symmetry. The nearly two-flavor mixing scenario is resulted naturally from an approximate permutation symmetry between the two Higgs triplets. The hierarchy between the neutrino mass-squared differences, which is needed for reconciling both solar and atmospheric neutrino data, leads to an almost maximal mixing between ${\nu }_e$ and ${\nu }_{\mu }$ neutrinos. Thus the model favors the intriguing bi-maximal mixing scenario.The three Majorana neutrino masses are allowed to be nearly degenerate and large enough to play a significant cosmological role. The model can also lead to interesting phenomena on lepton-flavor violations via the $SO(3{)}_F$ gauge interactions.

latex, no figures, invited talk at the Sixth Topical Seminar on Neutrino and Astroparticle Physics, San Miniato, Italy, May 1999, to appear in Nucl. Phys. B (Proc. Suppl.)

References in corpus (5)

• Bi-Maximal Mixing of Three Neutrinos
• Constraints on neutrino oscillation parameters from the measurement of day-night solar neutrino fluxes at Super-Kamiokande
• Measurement of the solar neutrino energy spectrum using neutrino-electron scattering
• Do hep neutrinos affect the solar neutrino energy spectrum?
• Supersymmetric model of quasi-degenerate neutrinos

Cited by in corpus (5)

• 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