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In this note, we calculate the branching ratio and CP asymmetry parameters of$B_s\to\pi\rho$ in the framework of perturbative QCD approach based on $k_T$factorization. This decay can occur only via annihilation diagrams in theStandard Model. We find that (a)the charge averaged$Br(B_s\to\pi^{+}\rho^{-}+\pi^{-}\rho^{+})$ is about $(9-12)\times10^{-7}$;$Br(B_s\to\pi^{0}\rho^{0}) \simeq 4\times10^{-7}$; and (b) there are sizable CPasymmetries in the processes, which can be tested in the near future LargeHadron Collider beauty experiments (LHC-b) at CERN or BTeV experiments atFermilab.Comment: 6 pages, 3 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>ρ</mml:mi></mml:math>decays in the perturbative QCD approach

Study ofBs→πρdecays in the perturbative QCD approach