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

TL;DR

This paper studies how the universal extra dimension model affects the branching ratios of specific B meson decays, showing a strong dependence on the compactification radius within a certain energy range.

Contribution

It provides a detailed analysis of the impact of universal extra dimensions on B decay branching ratios, consistent with current experimental constraints.

Findings

Branching ratios depend strongly on the compactification radius 1/R.

Results are consistent with experimental data for certain decay channels.

The model constrains the size of extra dimensions based on decay observations.

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 ${\cal B}(B \to X_s \gamma) $, ${\cal 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.