\begin{document}$ B_{c}^{\ast} $\end{document} meson has not yet been experimentally discovered until now. Besides the dominant electromagnetic decays, nonleptonic weak decays provide another choice to search for the mysterious \begin{document}$ B_{c}^{\ast} $\end{document} mesons. Inspired by the potential prospects of \begin{document}$ B_{c}^{\ast} $\end{document} mesons in future high-luminosity colliders, nonleptonic \begin{document}$ B_{c}^{\ast} $\end{document} weak decays induced by bottom and charm quark decays are studied within the SM by using a naive factorization approach. It is found that for \begin{document}$ B_{c}^{\ast} $\end{document} \begin{document}$ {\to} $\end{document} \begin{document}$ B_{s,d}{\pi} $\end{document}, \begin{document}$ B_{s,d}^{\ast}{\pi} $\end{document}, \begin{document}$ B_{s,d}{\rho} $\end{document}, \begin{document}$ B_{s}K $\end{document}, \begin{document}$ B_{s}^{\ast}K $\end{document}, \begin{document}$ B_{s}K^{\ast} $\end{document}, \begin{document}$ {\eta}_{c}(1S,2S){\pi} $\end{document}, \begin{document}$ {\eta}_{c}(1S,2S){\rho} $\end{document} and \begin{document}$ {\psi}(1S,2S){\pi} $\end{document} decays, a few hundred and even thousands of events might be observable in CEPC, FCC-ee and LHCb@HL-LHC experiments."> Possibility of experimental study on nonleptonic <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol{B_{c}^{\ast}}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/50b5b2ad-9b16-4315-8be3-478c23ca5bec/CPC-2022-0465_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/50b5b2ad-9b16-4315-8be3-478c23ca5bec/CPC-2022-0465_M1.png"/></alternatives></inline-formula> weak decays -
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