Lepton flavor violating processes in the minimal 3-3-1 model with singlet sterile neutrinos

Abstract

We consider the minimal 3-3-1 model with three sterile neutrinos transforming as singlet under the $SU(3)_L\otimes U(1)_X$ symmetry. This model, with or without sterile neutrinos, predicts flavor violating interactions in both quark and lepton sectors, since all the charged fermions mass matrices can not be assumed diagonal in any case. Here we accommodate the lepton masses and the Pontecorvo-Maki-Nakawaga-Sakata matrix at the same time, and as consequence the Yukawa couplings and the unitary matrices which diagonalize the mass matrices are not free parameters anymore. We study some phenomenological consequences, i.e., $l_i\to l_jl_k \bar{l}_k$ and $l_i\to l_j\gamma$ which are induced by neutral and doubly charged particles present in the model. In particular we find that if the decay $\mu\to ee\bar{e}$ is observed in the future, the only particle in the model that could explain this decay is the doubly charged vector bilepton.