ar X iv : h ep - l at / 0 01 00 29 v 1 1 7 O ct 2 00 0 1 Can One Study Heavy Meson Semileptonic Decays on Coarse Anisotropic Lattices ?

Semileptonic decays of heavy mesons into light hadrons such as, B → π lν or B → ρ lν, involve hadrons with sizeable momenta, once one moves away from the zero-recoil point at q ≡ (p − p) = q max. “pμ” is the momentum of the decaying heavy meson and “pμ” that of the light daughter meson. High momenta introduce both noise and ap discretization errors into lattice simulations making calculations of semileptonic form factors that extend over a wide range in q a challenging task. We have carried out exploratory simulations to investigate whether anisotropic lattices can help with the signal-tonoise problem. We study twoand three-point correlators involving finite momentum hadrons on both anisotropic and isotropic lattices with comparable coarse spatial lattice spacings. Working with identical source operators and smearings on the initial time slices, we compare the quality of signals that can be extracted at later times. We find that it is considerably easier to obtain good signals on anisotropic lattices at higher momenta (e.g. once momenta reach (1,1,1)2π/(asL) and beyond).