The effect of the Gaussian profile of the new Higgs doublet on the radiative lepton flavor violating decay

We study the branching ratios of the lepton flavor violating processes \mu -> e\gamma, \tau -> e\gamma and \tau -> \mu\gamma by considering that the new Higgs scalars localize with Gaussian profile in the extra dimension. We see that the BRs of the LFV decays \mu -> e \gamma, \tau -> e \gamma and \tau -> \mu\gamma are at the order of the magnitude of 10^{-12}, 10^{-16} and 10^{-12} in the considered range of the free parameters. These numerical values are slightly suppressed in the case that the localization points of new Higgs scalars are different than origin.