Study of $B\to K^* ρ, K^*ω$ Decays with Polarization in Perturbative QCD Approach

Details Study of $B\to K^* ρ, K^*ω$ Decays with Polarization in Perturbative QCD Approach Study of $B\to K^* ρ, K^*ω$ Decays with Polarization in Perturbative QCD Approach

2005-08-06

arxiv.org/abs/hep-ph/0508080v3

Phys.Rev.D73:014011,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, latex, including 4 figures

Scientific paper

10.1103/PhysRevD.73.014011

The $B \to K^{*}\rho$, $ K^{*}\omega$ decays are useful to determine the CKM angle $\phi_3=\gamma$. Their polarization fractions are also interesting since the polarization puzzle of the $B\to \phi K^*$ decay. We study these decays in the perturbative QCD approach based on $k_T$ factorization. After calculating of the non-factorizable and annihilation type contributions, in addition to the conventional factorizable contributions, we find that the contributions from the annihilation diagrams are crucial. They give dominant contribution to the strong phases and suppress the longitudinal polarizations. Our results agree with the current existing data. We also predict a sizable direct CP asymmetries in $B^+ \to K^{*+}\rho^0$, $B^0 \to K^{*+}\rho^-$, and $B^+ \to K^{*+}\omega$ decays, which can be tested by the oncoming measurements in the B factory experiments.

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