Lepton flavor violating decay of SM-like Higgs in a radiative neutrino mass model

The lepton flavor violating decay of the Standard Model-like Higgs (LFVHD) is discussed in the framework of the radiative neutrino mass model built in \cite{Kenji}. The branching ratio (BR) of the LFVHD are shown to reach ${10}^{-5}$ in the most interesting region of the parameter space shown in \cite{Kenji}. The dominant contributions come from the singly charged Higgs mediations, namely the coupling of $h_2^{\pm }$ with exotic neutrinos. Furthermore, if doubly charged Higgs is heavy enough to allow the mass of $h_2^{\pm }$ around 1 TeV, the mentioned BR can reach ${10}^{-4}$. Besides, we have obtained that the large values of the Br$(h\to \mu \tau )$ leads to very small ones of the Br$(h\to e\tau )$, much smaller than various sensitivity of current experiments.