Semileptonic charmed $B$ meson decays in Universal Extra Dimension Model

TL;DR

This paper calculates form factors and physical observables for semileptonic $B_c$ decays to $D_s^*$ mesons, analyzing their sensitivity to the Universal Extra Dimension model's parameters, especially for muon final states.

Contribution

It introduces a calculation of decay form factors using Ward Identities within the UED model, highlighting the sensitivity of helicity fractions to the model's compactification radius R.

Findings

Helicity fractions are highly sensitive to the UED model for muon final states.

Form factors are successfully calculated using Ward Identities.

Physical observables depend on the compactification radius R.

Abstract

Form factors parameterizing the semileptonic decay $B_{c}\rightarrow D_{s}^{\ast}l^{+}l^{-}$ ($l=\mu ,\tau $) are calculated using the frame work of Ward Identities. These form factors are then used to calculate the physical observables like branching ratio and helicity fractions of final state $D_{s}^{\ast}$ meson in these decay modes. The analysis is then extended to the the universal extra dimension (UED) model where the dependence of above mentioned physical variables to the compactification radius R, the only unknown parameter in UED model, is studied. It is shown that the helicity fractions of $D_{s}^{\ast}$ are quite sensitive to the UED model especially when have muons as the final state lepton. Therefore, these can serve as a useful tool to establish new physics predicted by the UED model.