## Towards a lattice determination of the $B^\ast B π$ coupling

Research output: Contribution to journalArticle

• G. de divitiis
• L. Del Debbio
• M. Di Pierro
• J. flynn
• C. Michael
• J. Peisa
• UKQCD Collaboration

### Documents

http://iopscience.iop.org/1126-6708/1998/10/010/
Original language Undefined/Unknown 23 1 Journal of High Energy Physics 1998 10.1088/1126-6708/1998/10/010 Published - 20 Jul 1998

### 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. This form factor is evaluated on the lattice using static heavy quarks and light quark propagators determined by a stochastic inversion of the fermionic bilinear. The $\gBBP$ coupling is related to the coupling $g$ between heavy mesons and low-momentum pions in the effective heavy meson chiral lagrangian. The coupling of the effective theory can therefore be computed by numerical simulations. We find the value $g = 0.42(4)(8)$. Besides its theoretical interest, the phenomenological implications of such a determination are discussed.

### Research areas

• Lattice gauge field theories, B-Physics