Universal extra dimensions and b→sγ

We analyze the effect of flat universal extra dimensions (i.e., extra dimensions accessible to all SM fields) on the process b→sγ. With one Higgs doublet, the dominant contribution at one-loop is from Kaluza–Klein (KK) states of the charged would-be-Goldstone boson (WGB) and of the top quark. The resulting constraint on the size of the extra dimension is comparable to the constraint from T parameter. In two-Higgs-doublet model II, the contribution of zero-mode and KK states of physical charged Higgs can cancel the contribution from WGB KK states. Therefore, in this model, there is no constraint on the size of the extra dimensions from the process b→sγ and also the constraint on the mass of the charged Higgs from this process is weakened compared to 4D. In two-Higgs-doublet model I, the contribution of the zero-mode and KK states of physical charged Higgs and that of the KK states of WGB are of the same sign. Thus, in this model and for small tanβ, the constraint on the size of the extra dimensions is stronger than in one-Higgs-doublet model and also the constraint on the mass of the charged Higgs is stronger than in 4D.