Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-10-24
Nucl.Phys.B768:51-84,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
38 pages, 9 figures, LaTeX. Figure 6 corrected and discussion in section 5.1 adjusted, some minor additional changes. One refe
Scientific paper
10.1016/j.nuclphysb.2007.01.016
We complete the computation of the 1-loop (alpha_s^2) corrections to hard spectator scattering in non-leptonic B decays at leading power in Lambda/m_b by evaluating the penguin amplitudes. This extends the knowledge of these next-to-next-to-leading-order contributions in the QCD factorization formula for B decays to a much wider class of final states, including all pseudoscalar-pseudoscalar, pseudoscalar-vector, and longitudinally polarized vector-vector final states, except final states with eta or eta' mesons. The new 1-loop correction is significant for the colour-suppressed amplitudes, but turns out to be strongly suppressed for the leading QCD penguin amplitude alpha_4^p. We provide numerical values of the phenomenological P/T and C/T amplitude ratios for the pi pi, pi rho and rho rho final states, and discuss corrections to several relations between electroweak penguin and tree amplitudes.
Beneke Martin
Jäger Sebastian
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