\begin{document}${B}_{c}\to \left({D}_{s,d}^{\left(*\right)}\right){\mu }^{+}{\mu }^{-}$\end{document}, such as the branching ratio, forward-backward asymmetry, polarization fraction, and lepton polarization asymmetry in the non-universal \begin{document}$ Z'$\end{document} model. We further study the dependence of the branching fraction to the new model parameters and find that the values of different decay parameters increase in the \begin{document}$ Z'$\end{document} model, which indicates a possible approach for the search of new physics as well as for the unknown phenomena of the charm B meson."> Investigation of rare semileptonic <inline-formula><tex-math id="Z-20200601101233">\begin{document}${{B}_{c}\to \left({D}_{s,d}^{\left(*\right)}\right){\mu }^{+}{\mu }^{-}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/681122a4-1b53-4a18-b6bf-74bec6245e63/CPC-2020-0068_Z-20200601101233.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/681122a4-1b53-4a18-b6bf-74bec6245e63/CPC-2020-0068_Z-20200601101233.png"/></alternatives></inline-formula> decays with non-universal <i>Z</i>′ effect -
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