Neutrino masses and lepton flavor violation in the 3-3-1 model with right-handed neutrinos

Abstract

We show that, in the 3-3-1 model with right-handed neutrinos, small neutrino masses and large lepton flavor violating processes such as $\ensuremath{\mu}\ensuremath{\rightarrow}3e$ and $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$ can be obtained by just introducing an additional Higgs sextet. In the limit of vanishing of the Yukawa interaction among Higgs and lepton triplets $({h}^{\ensuremath{\nu}}=0)$, the decay $\ensuremath{\mu}\ensuremath{\rightarrow}3e$ strongly depends on the neutrino-mass patterns, but the $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$ almost does not. The neutrino masses are not constrained by such processes in the cases of ${h}^{\ensuremath{\nu}}\ensuremath{\ne}0$.