Radiative corrections to hard spectator scattering in $B\to ππ$ decays

Details Radiative corrections to hard spectator scattering in $B\to ππ$ decays Radiative corrections to hard spectator scattering in $B\to ππ$ decays

2006-08-28

arxiv.org/abs/hep-ph/0608291v3

JHEP 0705:019,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

text is improved and typos are corrected, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2007/05/019

We present the calculation of the next-to-leading corrections to the tree amplitudes which appear in the description of non-leptonic B-decays in the factorization approach. These corrections, together with radiative corrections to the jet functions, represent the full next-to-leading contributions to the dominant hard spectator scattering term generated by operators $O_{1,2}$ in the decay amplitudes. Using obtained analytical results we estimate $B\to\pi\pi$ branchings fractions in the physical (or BBNS) factorization scheme. We have also found that the imaginary part generated in the hard spectator scattering term is rather large compared to the imaginary part of the vertex contribution.

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