Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-11-07
PoSLAT2006:099,2006
Physics
High Energy Physics
High Energy Physics - Lattice
Talk presented at Lattice06 (electroweak decays and mixing), Tucson, Arizona, July 2006
Scientific paper
Lattice simulations of $B\to\pi l\nu$ 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-$\beta$ Monte Carlo simulations.
Davies Christine. T. H.
Lepage Peter G.
Wong Kit Yan
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