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Freiburg 2008 – scientific programme

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T: Fachverband Teilchenphysik

T 13: Flavorphysik (Theorie) I

T 13.1: Talk

Wednesday, March 5, 2008, 16:45–17:00, KGI-HS 1132

B→ χcJ K decays revisitedMartin Beneke and •Leonardo Vernazza — Institut für Theoretische Physik E, RWTH Aachen

Recently, the hypothesis that exclusive B decays to charmonia H, such as BH K, should factorize in the heavy quark limit and non-relativistic limit was not confirmed, when the formalism was applied to P-wave charmonium states, due to the appearance of infrared (IR) divergences. We show that factorization is recovered, if one includes the charmonium bound-state scales mc v, mc v2 into the theoretical framework, and assume them to be intermediate between the heavy quark masses mb, mc and ΛQCD. In this case the IR divergences problem is solved by the introduction of colour-octet operators, not considered before, but necessary for a consistent perturbative calculation of the decay amplitude at order αs v (NLO). The appearance of endpoint singularities at leading twist in the spectator scattering contribution to the amplitude is solved in a similar way. We then provide estimates for the branching fractions.

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