A study of $O(1/m_{Q}^{2})$ corrections for $f_{B}$ with lattice NRQCD

N. Yamada; S. Hashimoto; K-I. Ishikawa; H. Matsufuru; T. Onogi

doi:10.1016/S0920-5632(97)00766-4

paper

A study of $O (1/ m_{Q}^{2})$ corrections for $f_{B}$ with lattice NRQCD

arXiv:hep-lat/9711010 · doi:10.1016/S0920-5632(97)00766-4

Abstract

We investigate higher order effects in the nonrelativistic expansion of lattice QCD on the heavy-light meson decay constants and some other quantities in order to understand the truncation error of NRQCD. While our numerical results have large $O (a)$ and $O (I^\pm_{s})$ errors due to the use of Wilson light quark action and the tree-level matching, we find that the truncation error of higher order relativistic corrections are adequately small around the mass of the $b$ quark. We also present a perturbatively matched results through 1-loop level without operator mixing effects.

3 pages, 3 ps figures, uses espcrc2.sty and psfig.sty, Talk presented at Lattice'97

A study of O(1/mQ2​) corrections for fB​ with lattice NRQCD

Abstract

A study of $O (1/ m_{Q}^{2})$ corrections for $f_{B}$ with lattice NRQCD