Study of the two-body nonleptonic $B_{c}(2S)$ weak decays with the QCD factorization approach

Abstract

Inspired by the promising prospect of the $B_{c}(2S)$ meson at the coming HL-LHC experiments, the nonleptonic $B_{c}(2S)$ meson weak decays induced by both the $b$ and $c$ decays are investigated with the QCD factorization approach. It is found that branching ratios for the color- and CKM-favored $B_{c}(2S)$ ${\to}$ $B_{s}{\rho}$, $B_{s}{\pi}$ decays can reach up to ${\cal O}(10^{-9})$, which might be measurable. The $B_{c}(2S)$ decays into the final states containing one charmonium are highly suppressed by the CKM factors, and have significantly small branching ratios, ${\cal O}(10^{-12})$ and less, which might be outside the future measurement capability. This paper provides a ready reference for the future experimental study on the hadronic $B_{c}(2S)$ weak decays.