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SO(3) Gauge model for neutrino masses and oscillations

Yue-Liang Wu
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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 $ν_μ$ and $ν_τ$ 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 $ν_{e}$ and $ν_μ$ 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.

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Yue-Liang Wu. 1999-08-23. SO(3) Gauge model for neutrino masses and oscillations. https://doi.org/10.1016/s0920-5632(00)00506-5

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