Perturbative QCD study of the B-> K^* gamma decay

Details Perturbative QCD study of the B-> K^* gamma decay Perturbative QCD study of the B-> K^* gamma decay

1998-12-28

arxiv.org/abs/hep-ph/9812508v2

Phys.Rev. D60 (1999) 054001

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 4 figures; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.60.054001

We apply the perturbative QCD factorization theorem developed recently for nonleptonic heavy meson decays to the radiative decay $B\to K^*\gamma$. In this formalism the evolution of the Wilson coefficients from the $W$ boson mass down to the characteristic scale of the decay process is governed by the effective weak Hamiltonian. The evolution from the characteristic scale to a lower hadronic scale is formulated by the Sudakov resummation. Besides computing the dominant contribution arising from the magnetic-penguin operator $O_7$, we also calculate the contributions of four-quark operators. By fitting our prediction for the branching ratio of the $B\to K^*\gamma$ decay to the CLEO data, we determine the $B$ meson wave function, that possesses a sharp peak at a low momentum fraction.

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