Study of Bto K rho, Komega Decays with Polarization in Perturbative QCD Approach.pdf

∗ ∗ Study of B → K ρ, K ω Decays with Polarization in Perturbative QCD Approach a,b c,a d a ∗ e a Han-Wen Huang , Cai-Dian L¨u , Toshiyuki Morii , Yue-Long Shen , Ge-Liang Song , and Jin Zhu a Institute of High Energy Physics, P.O. Box 918(4), Beijing 100049, China b Department of Physics, University of Colorado, Boulder, CO80302, USA 6 0 c CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China 0 d Faculty of Human Development, Kobe University, Nada, Kobe 657-8501, Japan 2 e Dept. of Physics, University of Notre Dame du Lac, Notre Dame, IN 46556, USA n a February 2, 2008 J 0 1 3 Abstract v 0 The B → K ∗ρ, K ∗ω decays are useful to determine the CKM angle φ3 = γ . Their polarization 8 fractions are also interesting since the polarization puzzle of the B → φK ∗ decay. We study these 0 8 decays in the perturbative QCD approach based on kT factorization. After calculating of the 0 non-factorizable and annihilation type contributions, in addition to the conventional factorizable 5 contributions, we find that the contributions from the annihilation diagrams are crucial. They 0 give dominant contribution to the strong phases and suppress the longitudinal polarizations. Our / h results agree with the current existing data. We also predict a sizable direct CP asymmetries in p B+ → K ∗+ρ0 , B0 → K ∗+ρ− , and B+ → K ∗+ω decays, which can be tested by the onc