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# Lattice determination of the B* B pi coupling

De Divitiis, G.; Del Debbio, L.; Di Pierro, M.; Flynn, J.M. and Michael, C. (2000) Lattice determination of the B* B pi coupling. Nuclear Physics B - Proceedings Supplements, 83-84 . pp. 277-279. ISSN 0920-5632

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## Abstract

The coupling $g_{B^\ast B \pi}$ is related to the form factor at zero momentum of the axial current between $B^\ast$ and $B$ states. Moreover it is related to the effective coupling between heavy mesons and pions that appear the heavy meson chiral Lagrangian. This coupling has been evaluated on the lattice using static heavy quarks and light quark propagators determined by a stochastic inversion of the fermionic bilinear. We found the value $g=0.42(4)(8)$. Beside its theoretical interest, this quantity has phenomenological implications in $B \to \pi + \bar l l$ decays.

Item Type: Article LTH 462. arXiv Number: arXiv:hep-lat/9909148v1. Available online 23 July 2003. Issue: April 2000. fermion; lattice field theory; gauge field theory; approximation; quenching; coupling constant; form factor; current; axial; decay constant; numerical calculations; Monte Carlo Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1016/S0920-5632(00)91646-3 http://arxiv.org/abs/hep-lat/9909148 No Published 609 27 Nov 2008 11:12 20 May 2011 09:43

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