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arXiv · hep-lat/9711010

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
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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 $O(α_s)$ 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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N. Yamada, S. Hashimoto, K-I. Ishikawa, H. Matsufuru, T. Onogi. 1997-11-06. A study of $O(1/m_{Q}^{2})$ corrections for $f_{B}$ with lattice NRQCD. https://doi.org/10.1016/s0920-5632(97)00766-4

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