B meson decays from moving-NRQCD on fine MILC lattices

Davies, C. T. H.; Lepage, G. P.; Wong, Kit Yan

B meson decays from moving-NRQCD on fine MILC lattices

Authors

Davies, C. T. H.

Lepage, G. P.

Wong, Kit Yan

Description

Lattice simulations of $B\toπlν$ decays are problematic in the low $q^{2}$ region when the pion has to have large momentum in the lattice frame for a $B$ meson at rest or moving slowly. The moving-NRQCD formalism provides a way around this by giving an accurate discretization of a $b$ quark moving at arbitrary velocity $v$, and therefore a $B$ meson moving at high momentum in the lattice frame. Here we show results from simulations of the moving-NRQCD action complete through $O(1/M)$ coupled to the asqtad action on a MILC fine ensemble. We show $B$, $B^{*}$ masses as a function of $v$ and demonstrate how to determine the meson kinetic mass and the renormalization of $v$ non-perturbatively. We will also discuss the perturbative renormalization of the moving-NRQCD action from high-$β$ Monte Carlo simulations.
Talk presented at Lattice06 (electroweak decays and mixing), Tucson, Arizona, July 2006