QCD estimate of the long-distance effect in $B \to K^* γ$

Details QCD estimate of the long-distance effect in $B \to K^* γ$ QCD estimate of the long-distance effect in $B \to K^* γ$

1997-02-12

arxiv.org/abs/hep-ph/9702318v1

Phys.Lett.B402:167-177,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 6 figures, Latex, epsfig

Scientific paper

10.1016/S0370-2693(97)00431-0

We suggest to use operator product expansion and QCD sum rule techniques to estimate the long-distance contribution to the amplitude of the exclusive rare decay $B\to K^* \gamma$. In contrast to a phenomenological description in terms of $\psi$ resonances converting into a photon, the virtual charm quark loop interacting with soft gluons is represented by a new quark-gluon-photon operator. The matrix element of this operator is calculated in the same approximation as the matrix element of the leading magnetic penguin operator. The overall correction is found to be small, not more than about 5%.

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