English

$B -> \pi l \nu$ Form Factors Calculated on the Light-Front

High Energy Physics - Phenomenology 2010-11-19 v2

Abstract

A consistent treatment of BπlνB\rightarrow \pi l \nu decay is given on the light-front. The BB to π\pi transition form factors are calculated in the entire physical range of momentum transfer for the first time. The valence-quark contribution is obtained using relativistic light-front wave functions. Higher quark-antiquark Fock-state of the BB-meson bound state is represented effectively by the Bπ|B^*\pi\rangle configuration, and its effect is calculated in the chiral perturbation theory. Wave function renormalization is taken into account consistently. The Bπ|B^*\pi\rangle contribution dominates near the zero-recoil point (q225q^2\simeq 25 GeV2^2), and decreases rapidly as the recoil momentum increases. We find that the calculated form factor f+(q2)f_+(q^2) follows approximately a dipole q2q^2-dependence in the entire range of momentum transfer.

Keywords

Cite

@article{arxiv.hep-ph/9602309,
  title  = {$B -> \pi l \nu$ Form Factors Calculated on the Light-Front},
  author = {C. Y. Cheung and C. W. Hwang and W. M. Zhang},
  journal= {arXiv preprint arXiv:hep-ph/9602309},
  year   = {2010}
}

Comments

Revtex, 19 pages, 9 figures

R2 v1 2026-07-22T14:29:52.385Z