Penguin-dominated B -> PV decays in NLO perturbative QCD

Abstract

We study the penguin-dominated B -> PV decays, with P (V) representing a pseudo-scalar (vector) meson, in the next-to-leading-order (NLO) perturbative QCD (PQCD) formalism, concentrating on the B -> K phi, pi K^*, rho K, and omega K modes. It is found that the NLO corrections dramatically enhance the B -> rho K, omega K branching ratios, which were estimated to be small under the naive factorization assumption. The patterns of the direct CP asymmetries A_{CP}(B^0 -> rho^\mp K^\pm) \approx A_{CP}(B^\pm -> rho^0 K^\pm) and |A_{CP}(B^0 -> pi^\mp K^{*\pm})| > |A_{CP}(B^\pm -> pi^0 K^{*\pm})| are predicted, differing from |A_{CP}(B^0 -> pi^\mp K^\pm)| >> |A_{CP}(B^\pm -> pi^0 K^\pm)|. The above patterns, if confirmed by data, will support the source of strong phases from the scalar penguin annihilation in PQCD. The results for the mixing-induced CP asymmetries S_f are consistent with those obtained in the literature, except that our S_{rho^0 K_S} is as low as 0.5.