Estimates of the Weak Annihilation Contributions to the Decays $B \to ρ+ γ$ and $B \to ω+ γ$

Physics – High Energy Physics – High Energy Physics - Phenomenology

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13 pages, Latex, 3 figures (not included) available on request from alia@x4u.desy.de

Scientific paper

10.1016/0370-2693(95)01087-7

The dominant long-distance contributions to the exclusive radiative decays $B \to \rho (\omega) + \gamma$ involve photon emission from the light quarks at large distances, which cannot be treated perturbatively. We point out that this emission can be described in a theoretically consistent way as the magnetic excitation of quarks in the QCD vacuum and estimate the corresponding parity-conserving and parity-violating amplitudes using the light-cone QCD sum rule approach. These are then combined with the corresponding short-distance contribution from the magnetic moment operator in the same approach, derived earlier, to estimate the decay rates $\Gamma (B \to \rho(\omega) + \gamma)$. The implications of this result for the determination of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements in radiative $B$ decays are worked out.

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