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The ground vector $B_{c}^{\ast}$ meson has not yet been experimentallydiscovered until now. Besides the dominant electromagnetic decays, nonleptonicweak decays provide another choice to search for the mysterious $B_{c}^{\ast}$mesons. Inspired by the potential prospects of $B_{c}^{\ast}$ mesons in futurehigh-luminosity colliders, nonleptonic $B_{c}^{\ast}$ weak decays induced bybottom and charm quark decays are studied within the SM by using a naivefactorization 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 andeven thousand of events might be observable in CEPC, FCC-ee and LHCb@HL-LHCexperiments.

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