The Impact of Universal Extra Dimensions on B -> X_s gamma, B -> X_s gluon, B -> X_s mu^+ mu^-, K_L -> pi^0 e^ +e^-, and epsilon'/epsilon

We calculate the contributions of the Kaluza-Klein (KK) modes to the gamma-penguins, gluon-penguins, gamma-magnetic penguins and chromomagnetic penguins in the Appelquist, Cheng and Dobrescu (ACD) model with one universal extra dimension. Together with our previous calculation of Z^0 penguin diagrams (See href{http://arxiv.org/abs/hep-ph/0212143}{this http URL}) this allows to study the impact of the KK modes on the decays B -> X_s gamma, B -> X_s gluon, B -> X_s mu^+ mu^- and K_L -> pi^0 e^+ e^- and on the CP-violating ratio epsilon'/epsilon. For the compactification scale 1/R= 300 GeV the perturbative part of the branching ratio for B -> X_s mu^+ mu^- is enhanced by 12 % while the zero in the A_FB asymmetry is shifted from \hat s_0=0.162 to \hat s_0=0.142. The sizable suppressions of Br(B -> X_s gamma) ~ 20 % and Br(B -> X_s gluon) ~ 40 % could have interesting phenomenological implications on the lower bound on 1/R provided the experimental and theoretical uncertainties will be decreased. Similar comments apply to epsilon'/epsilon that is suppressed relative to the Standard Model expectations with the size of the suppression depending sensitively on the hadronic matrix elements. The impact on K_L -> pi^0 e^+ e^- is below 10 %. We point out a correlation between the zero \hat s_0 in the A_FB asymmetry and Br(B -> X_s gamma) that should be valid in most models with minimal flavour violation