Semileptonic and Rare $B$-meson transitions in a QCD relativistic potential model

Details Semileptonic and Rare $B$-meson transitions in a QCD relativistic potential model Semileptonic and Rare $B$-meson transitions in a QCD relativistic potential model

1998-09-14

arxiv.org/abs/hep-ph/9809372v1

Eur.Phys.J.C8:81-90,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 19 pages, 3 figures

Scientific paper

10.1007/s100529901060

Using a QCD relativistic potential model, previously applied to the calculation of the heavy meson leptonic constants, we evaluate the form factors governing the exclusive decays $B\to\rho\ell\nu$, $B\to K^*\gamma$ and $B\to K^*\ell^+\ell^-$. In our approach the heavy meson is described as a $Q\bar q$ bound state, whose wave function is solution of the relativistic Salpeter equation, with an instantaneous potential displaying Coulombic behaviour at small distances and linear behaviour at large distances. The light vector meson is described by using a vector current interpolating field, according to the Vector Meson Dominance assumption. A Pauli-Villars regularized propagator is assumed for the quarks not constituting the heavy meson. Our procedure allows to avoid the description of the light meson in terms of wave function and constituent quarks, and consequently the problem of boosting the light meson wave function. Assuming as an input the experimental results on $B\to K^*\gamma$, we evaluate all the form factors describing the $B\to \rho, K^*$ semileptonic and rare transitions. The overall comparison with the data, whenever available, is satisfactory.

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