Penguins with Charm and Quark-Hadron Duality

Details Penguins with Charm and Quark-Hadron Duality Penguins with Charm and Quark-Hadron Duality

2009-02-25

arxiv.org/abs/0902.4446v1

Eur.Phys.J.C61:439-449,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 4 figures

Scientific paper

10.1140/epjc/s10052-009-1028-9

The integrated branching fraction of the process $B\to X_s l^+l^-$ is dominated by resonance background from narrow charmonium states, such as $B\to X_s\psi\to X_s l^+l^-$, which exceeds the non-resonant charm-loop contribution by two orders of magnitude. The origin of this fact is discussed in view of the general expectation of quark-hadron duality. The situation in $B\to X_s l^+l^-$ is contrasted with charm-penguin amplitudes in two-body hadronic B decays of the type $B\to\pi\pi$, for which it is demonstrated that resonance effects and the potentially non-perturbative $c\bar c$ threshold region do not invalidate the standard picture of QCD factorization. This holds irrespective of whether the charm quark is treated as a light or a heavy quark.

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