Fermion Masses and Neutrino Oscillations in SO(10) SUSY GUT with D_3 x U(1) Family Symmetry
Abstract
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
D
3
×U(1)
family symmetry (D_3 is the dihedral group of order 6). The hierarchy in fermion masses is generated by the family symmetry breaking
D
3
×U(1)→
Z
N
→
nothing. This model fits the low energy data in the charged fermion sector quite well and naturally provides large angle
ν
μ
-
ν
τ
mixing describing atmospheric neutrino oscillation data and small angle
ν
e
-
ν
s
mixing consistent with the small mixing angle MSW solution to the solar neutrino data. In addition, the non-abelian family symmetry D_3 is sufficient to suppress large flavor violations.