Determination of B*B pi coupling in unquenched QCD

Abstract

The $B^{\ast }B\pi$ coupling is a fundamental parameter of chiral effective Lagrangian with heavy-light mesons and can constrain the chiral behavior of $f_B$, $B_B$ and the $B\to \pi l\nu$ form factor in the soft pion limit. We compute the $B^{\ast }B\pi$ coupling with the static heavy quark and the $O(a)$-improved Wilson light quark. Simulations are carried out with $n_f=2$ unquenched $12^3\times 24$ lattices at $\beta =1.80$ and $16^3\times 32$ lattices at $\beta =1.95$ generated by CP-PACS collaboration. To improve the statistical accuracy, we employ the all-to-all propagator technique and the static quark action with smeared temporal link variables following the quenched study by Negishi {\it et al.}. These methods successfully work also on unquenched lattices, and determine the $B^{\ast }B\pi$ coupling with 1--2% statistical accuracy on each lattice spacing.

19pages,26figures