Reexamining charmless B\to PV decays in QCD factorization approach

Abstract

Using the QCD factorization approach, we reexamine the two-body hadronic charmless $B$-meson decays to final states involving a pseudoscalar~($P$) and a vector~($V$) meson, with inclusion of the penguin contractions of spectator-scattering amplitudes induced by the $b\to D g^\ast g^\ast$~(where $D=d$ or $s$, and $g^\ast$ denotes an off-shell gluon) transitions, which are of order $α_s^2$. Their impacts on the CP-averaged branching ratios and CP-violating asymmetries are examined. We find that these higher order penguin contraction contributions have significant impacts on some specific decay modes. Since $B\to πK^{\ast}$, $K ρ$ decays involve the same electro-weak physics as $B\to πK$ puzzles, we present a detailed analysis of these decays and find that the five R-ratios for $B\to πK^{\ast}$, $K ρ$ system are in agreement with experimental data except for $R(πK^*)$. Generally, these new contributions are found to be important for penguin-dominated $B\to PV$ decays.