$\hat{I}\yen (nS)$ $\to$ $B_c\ddot{I}$, $B_c{K}^{\ast }$ decays with perturbative QCD approach

Abstract

Inspired by the potential prospects of $\hat{I}\yen (nS)$ data samples ($n$ $=$ $1$, $2$, $3$) at LHC and SuperKEKB, $\hat{I}\yen (nS)$ $\to$ $B_c\ddot{I}$, $B_c{K}^{\ast }$ decays are studied phenomenologically with pQCD approach. Branching ratios for $\hat{I}\yen (nS)$ $\to$ $B_c\ddot{I}$ and $B_c{K}^{\ast }$ decays are estimated to reach up to $\mathcal{O}(10^{-11})$ and $\mathcal{O}(10^{-12})$, respectively. Given the identification and detection efficiency of final states, searching for these weak decay modes should be fairly challenging experimentally in the future.

14 pages, 3 figures, revtex