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

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

1997-11-06

arxiv.org/abs/hep-lat/9711010v1

Nucl.Phys.Proc.Suppl.63:350-352,1998

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(97)00766-4

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 $O(\alpha_s)$ 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.

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