The possible effects of non-universal extra dimensions on t\to c l_i^- l_j^+ and H^0 \to h^0 (A^0) l_i^- l_j^+ decays in the general two Higgs Doublet model

Abstract

We study the effects of non-universal extra dimensions on the decay widths of the lepton flavor violating processes, $t\to c l_i^- l_j^+ $ and $H^0 \to h^0 (A^0) l_i^- l_j^+$ in the general two Higgs doublet model. We consider that the extra dimensions are accessible to the standard model gauge fields and the new Higgs doublet. We observe that the lepton flavor violating $H^0 \to h^0 (τ^+ μ^- + τ^- μ^+)$ and $H^0 \to A^0 (τ^+ μ^- + τ^- μ^+)$ Higgs decays are sensitive to the extra dimensions, especially, in the case of two spatial ones. This result may ensure a test to determine the compactification scale and the possible number of extra dimensions, with the accurate experimental measurements.