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

Abstract

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.