Phenomenology of B -> pi pi, pi K Decays at O(alpha^2 beta_0) in QCD Factorization

Abstract

We study O(alpha^2 beta_0) perturbative corrections to matrix elements entering two-body exclusive decays of the form B -> pi pi, pi K in the QCD factorization formalism, including chirally enhanced power corrections, and discuss the effect of these corrections on direct CP asymmetries, which receive their first contribution at O(alpha). We find that the O(alpha^2 beta_0) corrections are often as large as the O(alpha) corrections. We find large uncertainties due to renormalization scale dependence as well as poor knowledge of the non-perturbative parameters. We assess the effect of the perturbative corrections on the direct CP violation parameters of B -> pi^+ pi^-.

arXiv comment27 pages, 5 figures. Updated input parameters and added citations; expanded discussion

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Cited by in corpus (5)

• Spectator scattering at NLO in non-leptonic B decays: Tree amplitudes
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• NNLO vertex corrections in charmless hadronic B decays: Real part
• A Possible Solution to the $B\to \pi \pi$ Puzzle Using the Principle of Maximum Conformality
• Revisiting the $B^0\to {\pi }^0{\pi }^0$ decays in the perturbative QCD approach