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Within the framework of perturbative QCD approach, we study the charmlesstwo-body decays $B_s \to a_1(1260)(b_1(1235))P(V)$ ($P, V$ represent the lightpseudo-scalar and vector mesons, respectively.). Using the decays constants andthe light-cone distribution amplitudes for these mesons derived from the QCDsum rule method, we find the following results: (a) The decays $\bar B^0_s\toa^{-}_1K^{+}(K^{*+})$ have the contributions from the factorization emissiondiagrams with a large Wilson coefficient $C_2+C_1/3$ (order of 1), so they havethe largest branching ratios and arrive at $10^{-5}$ order. While for thedecays $\bar B^0_s\to a^{0}_1 K^{0}(K^{*0})$, the Wilson coefficient is$C_1+C_2/3$ in tree level and color suppressed, so their branching ratios aresmall and fall in the order of $10^{-7}\sim10^{-8}$. For the decays $\barB^0_s\to b_1K(K^*)$, all of their branching ratios are of order few times$10^{-6}$. (b) For the pure annihilation type decays $\bar B^0_s\toa_1(b_1)\rho$ except the decays $\bar B^0_s\to a_1\pi$ having large branchingratios of order few times $10^{-6}$, the most other decays have the branchingratios of $10^{-7}$ order. The branching ratios of the decays $\bar B^0_s\toa^0_1(b^0_1)\omega$ are the smallest and fall in the order of$10^{-8}\sim10^{-9}$. (c)The branching ratios and the direct CP-asymmetries ofdecays $\bar B^0_s\to a^0_1(b_1^0)\eta^{(\prime)}$ are very sensitive to takedifferent Gegenbauer moments for $\eta^{(\prime)}$. (d) Except for the decays$\bar B^0_s\to a^{0}_1 K^{*0}, a^{0}_1\omega, b^{0}_1\omega$, the longitudinalpolarization fractions of other $\bar B^0_s\to a_1(b_1)V$ decays are very largeand more than 90%. (e) Compared with decays $\bar B^0_s\to a_1(b_1)P$, most of$\bar B^0_s\to a_1(b_1)V$ decays have smaller direct CP asymmetries.

Perturbative QCD for B_s \to a_1(1260)(b_1(1235))P(V) Decays