Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-02-11
Nucl.Phys.B822:172-200,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages, 5 figures
Scientific paper
10.1016/j.nuclphysb.2009.07.012
We compute the real part of the 2-loop vertex corrections for charmless hadronic B decays, completing the NNLO calculation of the topological tree amplitudes in QCD factorization. Among the technical aspects we show that the hard-scattering kernels are free of soft and collinear infrared divergences at the 2-loop level, which follows after an intricate subtraction procedure involving evanescent four quark operators. The numerical impact of the considered corrections is found to be moderate, whereas the factorization scale dependence of the topological tree amplitudes is significantly reduced at NNLO. We in particular do not find an enhancement of the phenomenologically important ratio |C/T| from the perturbative calculation.
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