Study of $B_s\to \pi \rho$ decays in the perturbative QCD approach

Abstract

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 the Standard Model. We find that (a)the charge averaged $Br(B_s\to {\pi }^{+}{\rho }^{-}+{\pi }^{-}{\rho }^{+})$ is about $(9-12)\times 10^{-7}$; $Br(B_s\to {\pi }^0{\rho }^0)\simeq 4\times 10^{-7}$; and (b) there are sizable CP asymmetries in the processes, which can be tested in the near future Large Hadron Collider beauty experiments (LHC-b) at CERN or BTeV experiments at Fermilab.

arXiv comment6 pages, 3 figures

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• Gauge Invariance and k_T-Factorization of Exclusive Processes
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• Charmless $B_s\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects II
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