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Phenomenology of B→ππ, πK decays at O(αs2β0) in QCD factorization

Craig N. Burrell*

Alexander R. Williamson†

  • Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7

  • Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA

  • *Electronic address: craig.burrell@utoronto.ca
  • †Electronic address: alexwill@andrew.cmu.edu
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Phys. Rev. D 73, 114004 – Published 2 June, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.114004

Abstract

We study O(αs2β0) perturbative corrections to matrix elements entering two-body exclusive decays of the form B¯→ππ, πK 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(αs). We find that the O(αs2β0) corrections are often as large as the O(αs) corrections. We find large uncertainties due to renormalization scale dependence as well as poor knowledge of the nonperturbative parameters. We assess the effect of the perturbative corrections on the direct CP violation parameters of B0→π+π−.

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Phys. Rev. D 73, 114004– Published 2 June, 2006
  • Received 2 May 2005

© 2006 American Physical Society

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