Exclusive $B-->\pi {\ell }^{+}{\ell }^{-}$ and $B-->\rho {\ell }^{+}{\ell }^{-}$ Decays in the Universal Extra Dimension

Abstract

We investigate the influence of the universal extra dimension on the branching ratio in the $B\to \pi (\rho ){\ell }^{+}{\ell }^{-}$ decay. Taking $1/R\sim \{200-1000\}$GeV with one universal extra spatial dimension, which is consistent with the experimental data for $\mathcal{B}(B\to X_s\gamma )$, $\mathcal{B}(B\to K^{\ast }{\mu }^{+}{\mu }^{-}$) and the electroweak precision tests, we obtain that for both ($\mu ,\tau$) channels the branching ratio strongly depends on the compactification radius 1/R.

Comments: 14 pages, 4 figures