Radiative Leptonic $B_c$ Decays

Abstract

We analyze the radiative leptonic $B_c$ decay mode: $B_c\to \ell \hat{I}½{\hat{I}}^3$ ($\ell =e,\hat{I}¼$) using a QCD-inspired constituent quark model. The prediction: $\mathcal{B}(B_c\to \ell \hat{I}½{\hat{I}}^3)\simeq 3\times 10^{-5}$ makes this channel experimentally promising in view of the large number of $B_c$ mesons which are expected to be produced at the future hadron facilities.

LaTex, 12 pages, 2 figures. A discussion on gauge invariance added. Numerical results updated