B→PVdecays in the QCD improved factorization approach

Motivated by recent CELO measurements and the progress of the theory of $B$ decays, we investigate $\overrightarrow{B}\mathrm{PV}$ $(P=\pi ,$ $K;$ ${V=K}^{*},$ $\rho ,$ $\omega )$ decay modes in the framework of QCD improved factorization. We find that all the measured branching ratios are well accommodated in the reasonable parameter space and predictions for the other decay modes are well below the experimental upper limits. We also have calculated $\mathrm{CP}$ asymmetries in these decay modes.