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Spontaneous breaking of flavor symmetry and naturalness of nearly degenerate neutrino masses and bi-maximal mixing

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Abstract

The gauge model withSO(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, naturally results from an approximate permutation symmetry. The model can also lead to interesting phenornena on lepton-flavor violations via theSO(3) F gauge interactions.

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Correspondence to Wu Yueliang.

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Wu, Y. Spontaneous breaking of flavor symmetry and naturalness of nearly degenerate neutrino masses and bi-maximal mixing. Sci. China Ser. A-Math. 43, 988–995 (2000). https://doi.org/10.1007/BF02879805

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