B => \pi \pi \ell \nu decays in a QCD relativistic potential model

TL;DR

This paper uses a QCD relativistic potential model to evaluate form factors for the B to pi pi l nu decay, focusing on non-resonant contributions in a specific phase space region, providing estimates for branching ratios.

Contribution

It introduces a calculation of B to pi pi l nu decay form factors within a QCD relativistic potential framework, emphasizing non-resonant decay channels.

Findings

Estimated non-resonant branching ratio BR(B- => pi+ pi- l nu) ≈ 2.2 x 10^(-4)

Performed calculations in a phase space region away from resonances

Complemented other decay mechanism studies by focusing on non-resonant contributions

Abstract

In the framework of a QCD relativistic potential model we evaluate the form factors describing the exclusive decay B => \pi\pi \ell \nu. The calculation is performed in a phase space region far away from the resonances and therefore is complementary to other decay mechanisms where the pions are produced by intermediate particles, e.g. in the chiral approach. We give an estimate of the contribution of the non resonant channel of the order of BR(B- => \pi+ \pi- \ell \nu) \approx 2.2 x 10^(-4).