Dynamically enhanced $B\to K^{\ast }\pi$ decays in perturbative QCD

Abstract

We investigate the $B\to K^{\ast }\pi$ decays, one of hardly understandable processes among charmless B-meson decays, within the perturbative QCD method. Owing to the dynamically enhanced mechanism in PQCD, we obtain large branching ratios and large direct CP asymmetries, for instance, $Br(B^0\to K^{\ast \pm }{\pi }^{\mp })=(9.1_{-3.9-0.2}^{+4.9+0.3})\times 10^{-6}$, $Br(B^{\pm }\to K^{\ast 0}{\pi }^{\pm })=(10.0_{-3.5}^{+5.3}\pm 0.0)\times 10^{-6}$; $Acp(B^0\to K^{\ast \pm }{\pi }^{\mp })=(-19.2_{-1.7}^{+0.5})$, and $Acp(B^{\pm }\to K^{\ast \pm }{\pi }^0)=(-43.7_{-4.2}^{+4.0})$. The branching ratios are consistent with experimental data and large direct CP violation effects will be tested by near future experimental measurements in Asymmetric B-factory.

4 pages, Revtex, 2 figures, typos corrected and the version for publication (To appear in Physical Review Letters)