Weak annihilation in the rare radiative $B\to ργ$ decay

Details Weak annihilation in the rare radiative $B\to ργ$ decay Weak annihilation in the rare radiative $B\to ργ$ decay

2001-06-18

arxiv.org/abs/hep-ph/0106203v1

Phys.Rev. D64 (2001) 094006

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex, 11 pages

Scientific paper

10.1103/PhysRevD.64.094006

The ampitude of the $B\to\rho\gamma$ decay induced by the flavour-changing neutral currents contains the penguin contribution and the weak-annihilation contribution generated by the 4-quark operators in the effective Hamiltonian. The penguin contribution is known quite well. We analyse the weak-annihilation which is suppressed by the heavy-quark mass compared to the penguin contribution. In the factorization approximation, the weak annihilation amplitude is represented in terms of the leptonic decay constants and the meson-photon matrix elements of the weak currents. The latter contain the $B\gamma$, $\rho\gamma$ transition form factors and contact terms determined by the equations of motion. We calculate the $B\gamma$ and $\rho\gamma$ form factors within the relativistic dispersion approach and obtain numerical estimates for the weak annihilation amplitude.

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