Study of the $B_c$ $\to$ $B_s\ddot{I}€$ decay with the perturbative QCD approach

Abstract

The $B_c$ $\to$ $B_s\ddot{I}€$ decay is studied with the perturbative QCD approach. Three types of wave functions for $B_s$ meson are considered. The transition form factor $F_0^{B_c\to B_s}(0)$ and the branching ratio $\mathcal{B}r(B_c\to B_s\ddot{I}€)$ are sensitive to the model of the $B_s$ meson wave functions. With appropriate inputs, our estimate on $\mathcal{B}r(B_c\to B_s\ddot{I}€)$ is comparable with the recent LHCb measurement. A clear signal of $B_c$ $\to$ $B_s\ddot{I}€$ decay should be easily observed at the Large Hadron Collider.

17 pages, 2 figures, revtex4, accepted by Science China : Physics, Mechanics & Astronomy