Abstract
Motivated by the rapid development of heavy-flavor experiments, we study the two-body hadronic \(\bar{B}_{d,s}^{*}\to D_{d,s}^{*}P\) decays within the framework of QCD factorization. Here the pseudoscalar \(P\) represents pion and kaon mesons. We present the branching fractions and polarization fractions for \(\bar{B}_{d,s}^{*}\to D_{d,s}^{*}\pi\) decay. Compared to \(\bar{B}_{d,s}^{*}\to D_{d,s}^{*}K\) decays, the \(\bar{B}_{d,s}^{*}\to D_{d,s}^{*}\pi\) decays exhibit relatively larger branching fractions in numerically, on the order \({\gtrsim}{O}(10^{-8})\) . We evaluate the QCD correction to the longitudinal and transverse amplitudes at next-to-leading order, finding that the transverse amplitudes dominate with a branching ratio of approximately 50 \(\%\) .
