Revisiting the B {\to} π ρ, π ω Decays in the Perturbative QCD Approach Beyond the Leading Order

Abstract

We calculate the branching ratios and CP asymmetries of the $B\to \pi \rho$, $\pi \omega$ decays in the perturbative QCD factorization approach up to the next-to-leading-order contributions. We find that the next-to-leading-order contributions can interfere with the leading-order part constructively or destructively for different decay modes. Our numerical results have a much better agreement with current available data than previous leading-order calculations, e.g., the next-to-leading-order corrections enhance the $B^0\to {\pi }^0{\rho }^0$ branching ratios by a factor 2.5, which is helpful to narrow the gaps between theoretic predictions and experimental data. We also update the direct CP-violation parameters, the mixing-induced CP-violation parameters of these modes, which show a better agreement with experimental data than many of the other approaches.

23 pages, 4 figures, 4 tables

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