Exclusive $B \to K^{(*)} \ell^+ \ell^-$, $B \to K^{(*)} ν{\bar ν}$ and $B \to K^* γ$ transitions in a scenario with a single Universal Extra Dimension

Abstract

We analyze the exclusive rare $B \to K^{(*)} \ell^+ \ell^-$, $B \to K^{(*)} ν\bar ν$ and $B \to K^* γ$ decays in the Applequist-Cheng-Dobrescu model, which is an extension of the Standard Model in presence of universal extra dimensions. In particular, we consider the case of a single universal extra dimension. We study how spectra, branching fractions and asymmetries depend on the compactification parameter 1/R, and whether the hadronic uncertainty due to the form factors obscures or not such a dependence. We find that, using present data, it is possible in many cases to put a sensible lower bound to 1/R, the most stringent one coming from $B \to K^* γ$. We also study how improved experimental data can be used to establish stronger constraints to this model.