Lepton flavor violating Z -> l_1^+ l_2^- decays with the localized new Higgs doublet in the extra dimension

We predict the branching ratios of Z-> e^{\pm} \mu^{\pm}, Z-> e^{\pm} \tau^{\pm} and Z-> \mu^{\pm} \tau^{\pm} decays in the framework of the 2HDM with the inclusion of one and two extra dimensions, by considering that the new Higgs doublet is localized in the extra dimension with a Gaussian profile. We observe that their BRs are at the order of the magnitude of ${10}^{-10}$, ${10}^{-8}$ and ${10}^{-5}$ with the inclusion of a single extra dimension, in the given 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.