The τ→μνīνi decay in the Randall–Sundrum background with localized U(1)Y gauge boson

Abstract

We study the effects of localization of the U (1) Y gauge boson around the visible brane and the contributions of the KK modes of Z bosons on the BR of the LFV τ → µν i ν i decay. We observe that the BR is sensitive to the amount of localization of Z boson in the bulk of the Randall Sundrum

Lepton flavor violating radion decays in the Randall–Sundrum scenario

“…At first, we assume that these couplings are symmetric with respect to the flavor indices i and j. Furthermore, we take that the couplings which contain at least one τ index are dominant and we choose a broad range for these couplings, by respecting the upper limit prediction of ξ E N ,τ µ (see [24] and references therein), which is obtained by using the experimental uncertainty, 10 −9 , in the measurement of the muon anomalous magnetic moment and by assuming that the new physics effects cannot exceed this uncertainty. For the coupling ξ E N ,τ e , the restriction is estimated by using this upper limit and the experimental upper bound of BR of µ → eγ decay, BR 1.2 × 10 −11 [25].…”

The possible effects of non-universal extra dimensions ont→cl−il+jandH0→h0(A0)l−il+jdecays in the general two Higgs doublet model

“…• For the coupling ξ E N ,τ µ the numerical values (1-10 GeV) are taken by respecting the predicted upper limit 30 GeV (see [17]) which is obtained by using the experimental uncertainty, 10 −9 , in the measurement of the muon anomalous magnetic moment [18].…”

“…Finally, we would like to analyse these decays in the two extra spatial dimensions. With the assumption that the second Higgs doublet φ 2 feels the extra dimensions, it can be expanded into its KK modes after the compactification of the extra dimensions on orbifold (S 1 × S 1 )/Z 2 as (17) where each circle is considered having the same radius R. In the summation, the indices n and k are positive integers including zero but both are not zero at the same time.…”