Lepton flavor violating Z->l₁^+ l₂^- decay in the split fermion scenario in the two Higgs Doublet model

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, in the split fermion scenario. We observe that the branching ratios are not sensitive to a single extra dimension, however, this sensitivity is considerably large for two extra dimensions.