Rare decays of $Λ_b \to Λγ$ and $Λ_b \to Λl^{+} l^{-}$ in universal extra dimension model

Abstract

The exclusive weak decay of $Λ_b \to Λγ$ and $Λ_b \to Λl^{+} l^{-}$ are investigated in the Applequist-Cheng-Dobrescu model, which is an extension of the standard model in presence of universal extra dimensions. Employing the transition form factors obtained in the light-cone sum rues, we analyze how the invariant mass distribution, forward-backward asymmetry and polarization asymmetry of $Λ$ baryon of these decay modes can be used to constrain the only one additional free parameter with respect to the standard model, namely, the radius $R$ of the extra dimension. Our results indicate that the Kaluza-Klein modes can lead to approximately 25% suppression of the branching ratio of $Λ_b \to Λγ$, however, their contributions can bring about 10% enhancement to the decay rate of $Λ_b \to Λl^{+} l^{-}$. It is shown that the zero-position of forward-backward asymmetry of $Λ_b \to Λμ^{+} μ^{-}$ is sensitive to the compactification parameter $R$ in this scenario, while the measurement of polarizations of $Λ$ baryon in the $Λ_b$ decays is not suitable to provide some valuable information for the universal extra dimension model.