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In this paper, we will make systematic calculations for the branching ratiosand the CP-violating asymmetries of the twenty one $\bar{B}^0_s \to PV $ decaysby employing the perturbative QCD (PQCD) factorization approach. Besides thefull leading-order (LO) contributions, all currently known next-to-leadingorder (NLO) contributions are taken into account. We found numerically that:(a) the NLO contributions can provide $\sim 40\%$ enhancement to the LO PQCDpredictions for ${\cal B}(\bar{B}_s^0 \to K^0 \bar{K}^{*0})$ and $ {\calB}(\bar{B}_s^0 \to K^{\pm}K^{*\mp})$, or a $\sim 37\% $ reduction to $\calb(\bar{B}_s^0 \to \pi^{-} K^{*+})$, and we confirmed that the inclusion ofthe known NLO contributions can improve significantly the agreement between thetheory and those currently available experimental measurements, (b) the totaleffects on the PQCD predictions for the relevant $B\to P$ transition formfactors after the inclusion of the NLO twist-2 and twist-3 contributions isgenerally small in magnitude: less than $ 10\%$ enhancement respect to theleading order result, (c) for the "tree" dominated decay $\bar B_s^0\to K^+\rho^- $ and the "color-suppressed-tree" decay $\bar B_s^0\to \pi^0 K^{*0}$,the big difference between the PQCD predictions for their branching ratios areinduced by different topological structure and by interference effects amongthe decay amplitude ${\cal A}_{T,C}$ and ${\cal A}_P$: constructive for thefirst decay but destructive for the second one, and (d) for $\bar{B}_s^0 \toV(\eta, \etar)$ decays, the complex pattern of the PQCD predictions for theirbranching ratios can be understood by rather different topological structuresand the interference effects between the decay amplitude $\cala(V\eta_q)$ and$\cala(V\eta_s)$ due to the $\eta-\etar$ mixing.

Anatomy of $B_s \to PV $ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach