Form factors for rare decays $B\to(π,ρ,K,K^*)l^+l^-$ in quark model

Details Form factors for rare decays $B\to(π,ρ,K,K^*)l^+l^-$ in quark model Form factors for rare decays $B\to(π,ρ,K,K^*)l^+l^-$ in quark model

1996-09-27

arxiv.org/abs/hep-ph/9609503v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, revtex, 1 figure

Scientific paper

Hadronic matrix elements of the vector, axial-vector and tensor currents relevant for exclusive rare decays $B\to(\pi,\rho,K,K^*)\,l^+l^-$ induced by the quark transition $b\to d,s$ are analysed using dispersion formulation of the light-cone constituent quark model. The form factors in the decay region are expressed as relativistic double spectral representations through the light-cone wave functions of the initial and final mesons. These form factors are shown to have the correct scaling properties in the limit of heavy-to-heavy and heavy-to-light quark transitions in accordance with QCD. The dependence on the quark-model parameters is studied.

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