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.
Categories: hep-ph hep-ex