Tri-bimaximal neutrino mixing and the T13 flavor symmetry

Abstract We present a supersymmetric T 13 model for the tri-bimaximal neutrino mixing, and the complete flavor group is T 13 × Z 4 × Z 2 . At leading order, the residual symmetry of the charged lepton sector is Z 3 , and the T 13 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 λ c 2 to the three lepton mixing angles. The vacuum alignment and subleading corrections are studied in detail, a moderate hierarchy of order λ c between the vacuum expectation values of the flavon fields in the charged lepton and neutrino sectors can be accommodated.