Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays

Abstract

The ground vector $B_c^{\ast }$ meson has not yet been experimentally discovered until now. Besides the dominant electromagnetic decays, nonleptonic weak decays provide another choice to search for the mysterious $B_c^{\ast }$ mesons. Inspired by the potential prospects of $B_c^{\ast }$ mesons in future high-luminosity colliders, nonleptonic $B_c^{\ast }$ weak decays induced by bottom and charm quark decays are studied within the SM by using a naive factorization approach. It is found that for $B_c^{\ast }$ $\to$ $B_{s,d}\pi$, $B_{s,d}^{\ast }\pi$, $B_{s,d}\rho$, $B_{s}K$, $B_s^{\ast }K$, $B_s{K}^{\ast }$, ${\eta }_c(1S,2S)\pi$, ${\eta }_c(1S,2S)\rho$ and $\psi (1S,2S)\pi$ decays, a few hundred and even thousand of events might be observable in CEPC, FCC-ee and LHCb@HL-LHC experiments.

Comments: 18 pages