Fermion Masses and Neutrino Oscillations in SO ( 10 ) SUSY GUT with D 3 × U ( 1 ) Family Symmetry
نویسنده
چکیده
Discrete nonabelian gauge symmetries appear to be the most advantageous candidates for a family symmetry. We present a predictive SO(10) SUSY GUT model with D3 × U(1) family symmetry (D3 is the dihedral group of order 6). The hierarchy in fermion masses is generated by the family symmetry breaking D3 × U(1) → ZN → nothing. This model fits the low energy data in the charged fermion sector quite well and naturally provides large angle νμ – ντ mixing describing atmospheric neutrino oscillation data and small angle νe – νs mixing consistent with the small mixing angle MSW solution to the solar neutrino data. In addition, the non-abelian family symmetry D3 is sufficient to suppress large flavor violations.
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