Gauge invariance and form factors for the decay B --> gamma l^+l^-

Details Gauge invariance and form factors for the decay B --> gamma l^+l^- Gauge invariance and form factors for the decay B --> gamma l^+l^-

2002-08-28

arxiv.org/abs/hep-ph/0208256v2

Phys.Rev. D67 (2003) 034002

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, ReVTeX4, 2 figures. Version to appear in Phys. Rev. D, with some minor additions

Scientific paper

10.1103/PhysRevD.67.034002

We analyse the form factors for the B --> gamma l^+l^- weak transition. We show that making use of the gauge invariance of the B --> gamma l^+l^- amplitude, the structure of the form factors in the resonance region, and their relations at large values of the photon energy results in efficient constraints on the behavior of the form factors. Based on these constraints, we propose a simple parametrization of the form factors and apply it to the lepton forward-backward (FB) asymmetry in the B --> gamma l^+l^- decay. We find that the behavior of the FB asymmetry as a function of the photon energy, as well as the location of its zero, depend only weakly on the B --> gamma l^+l^- form factors, and thus constitutes a powerful tool for testing the standard model.

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