Study on the Cabibbo-favored ${\bar{B}}_{d,s}$ $\to$ $D_{d,s}^{(\ast )+}{S}^{-}$ weak decays in QCD factorization

Motivated by recent experimental progress and theoretical developments, we investigate the Cabibbo-favored $b\to c$ governed ${\bar{B}}_{d,s}$ $\to$ $D_{d,s}^{(\ast )+}{S}^{-}$~($S$$=$$K_0^{\ast }(1430)$, $a_0(1450)$) weak decays by considering the next-to-leading (NLO) contributions within QCDF framework. With the updated values of $B_{(s)}\to D_{(s)}^{(\ast )}$ transition form factors obtained from a covariant light-front quark model, branching ratios are estimated in two scenarios for scalar mesons. It is found that the branching ratios for ${\bar{B}}^0\to D^{+}{a}_0^{-}$ and ${\bar{B}}_s^0\to D_s^{+}{a}_0^{-}$ decays can reach up to the order of $\mathcal{O}({10}^{-4})$ in scenario-2 by assuming that the scalar mesons are lowest-lying p-wave states, which deserve high-priority experimental searches and may be observed in the ongoing LHCb and SuperKEKB experiments.