Lepton masses in a minimal model with triplet Higgs bosons andS3flavor symmetry

Abstract

Viable neutrino and charged lepton masses and mixings are obtained by imposing a S{sub 3}xZ{sub 4}xZ{sub 3} flavor symmetry in a model with a few additional Higgs. We use two SU(2){sub L} triplet Higgs which are arranged as a doublet of S{sub 3}, and standard model singlet Higgs which are also put as doublets of S{sub 3}. We break the S{sub 3} symmetry in this minimal model by giving vacuum expectation values (VEV) to the additional Higgs fields. Dictated by the minimum condition for the scalar potential, we obtain certain VEV alignments which allow us to maintain {mu}-{tau} symmetry in the neutrino sector, while breaking it maximally for the charged leptons. This helps us to simultaneously explain the hierarchical charged lepton masses, and the neutrino masses and mixings. In particular, we obtain maximal {theta}{sub 23} and zero {theta}{sub 13}. We allow for a mild breaking of the {mu}-{tau} symmetry for the neutrinos and study the phenomenology. We give predictions for {theta}{sub 13} and the CP violating Jarlskog invariant J{sub CP}, as a function of the {mu}-{tau} symmetry breaking parameter. We also discuss possible collider signatures and phenomenology associated with lepton flavor violating processes.