Tri-bimaximal neutrino mixing and the T13 flavor symmetry

We present a supersymmetric T13 model for the tri-bimaximal neutrino mixing, and the complete flavor group is T13×Z4×Z2. At leading order, the residual symmetry of the charged lepton sector is Z3, and the T13 symmetry is broken completely in the neutrino sector. The charged lepton mass hierarchies are determined by the spontaneous breaking of the flavor symmetry, both the type I see-saw mechanism and the Weinberg operator contribute to generating the light neutrino masses. Tri-bimaximal mixing is exact at leading order while subleading contributions introduce corrections of order λc2 to the three lepton mixing angles. The vacuum alignment and subleading corrections are studied in detail, a moderate hierarchy of order λc between the vacuum expectation values of the flavon fields in the charged lepton and neutrino sectors can be accommodated.