Branching Ratio and CP Asymmetry of $B_{s} \to ρ(ω) K $ Decays in the Perturbative QCD Approach
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In this paper, we calculate the branching ratios and CP-violating asymmetries for $B_{s}\to ρ^\pm K^\mp$, $B_{s}\toρ^{0}\bar{K}^0 $ and $B_{s}\toω\bar{K}^0$ decays in the perturbative QCD (pQCD) factorization approach. The theoretical predictions for the CP averaged branching ratios of the considered decays are: $Br(B_{s}\toρ^\pm K^\mp)\approx 24.7 \times 10^{-6}$, $Br(B_{s}\toρ^{0}\bar{K}^0) \approx 1.2 \times 10^{-7}$ and $Br(B_{s} \toω\bar{K}^0) \approx 1.7 \times 10^{-7}$; and we also predict very large direct CP-violating asymmetries for the latter two decay modes: $A_{CP}^{dir}(ρ^{\pm} K^{\mp})\approx -12 %$, $A_{CP}^{dir}(ρ^0\bar{K}^0)\approx -92%$, $A_{CP}^{dir}(ω^0\bar{K}^0)\approx 81%$, $A_{CP}^{mix}(ρ^0\bar{K}^0)\approx -36%$, and $A_{CP}^{mix}(ω^0\bar{K}^0) \approx -40%$, which can be tested in the forthcoming LHC-b experiments.
21 pages, 6 ps/eps figures, Revtex
21 pages, 6 ps/eps figures, Revtex