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 μ→eγ, τ→eγ and τ→μγ by considering that the new Higgs scalars localize with Gaussian profile in the extra dimension. We see that the BRs of the LFV decays μ→eγ, τ→eγ and τ→μγ are at the order of 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 from the origin.