Three-loop beta function and non-perturbative $\alpha_s$ in asymmetric momentum scheme
High Energy Physics - Phenomenology
2010-03-19 v2 High Energy Physics - Lattice
Abstract
We determine the three-loop coefficient of the beta function in the asymmetric momentum subtraction scheme in Landau gauge. This scheme is convenient for lattice studies of \alpha_s, the running coupling constant of QCD. We present high statistics lattice results for \alpha_s in the SU(3) Yang-Mills theory without quark, compare with the three-loop running and extract the value of the corresponding \Lambda_\msbar parameter. We estimate the systematic error coming from four-loop terms. We obtain the result: \Lambda_\msbar = 295 (5) (15) {a^{-1}(\beta=6.0) \over 1.97 GeV} MeV.
Cite
@article{arxiv.hep-ph/9810437,
title = {Three-loop beta function and non-perturbative $\alpha_s$ in asymmetric momentum scheme},
author = {Ph. Boucaud and J. P. Leroy and J. Micheli and O. Pene and C. Roiesnel},
journal= {arXiv preprint arXiv:hep-ph/9810437},
year = {2010}
}
Comments
9 pages, LaTeX with two figures. The final analysis has been revisited to include an estimation of the systematic error coming from higher-order terms