A non-renormalizable neutrino mass model with $\mathbf{S}_{3}\otimes \mathbf{Z}_{2}$ symmetry

Abstract

The lepton sector is studied within a flavored non-renormalizable model where the S3 ⊗ Z2 flavor symmetry drives the Yukawa couplings. In this framework, the effective neutrino mass, that comes from the type II see-saw mechanism, as well as the charged lepton mass matrices are hierarchical and possessed (under a benchmark in the charged sector) a kind of Fritzsch textures that achieve to accommodate the mixing angles in good agreement with the last experimental data. The model predicts a CP-violating phase consistent with the experimental data and the branching ratio for the lepton flavor violation process, µ → eγ, is well below the current bound.

Fermion mass hierarchy and lepton flavor violation using $CP$ symmetry

“…So one singly charged Higgs (∆ + ) and one doubly charged Higgs (∆ ++ ) will come from this triplet. As a model prediction we calculate the branching fraction of lepton flavor violating decays µ → eγ and µ → ēee [25,26,27].…”

“…Within the experimental limit of the LFV decays, the mass of the doubly charged Higgs can be constrained in this model after using the couplings of Eq. (27). The branching ratio for µ → 3e [26] is given by…”