Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-10-21
JHEP 9812:004,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, LaTeX with two figures. The final analysis has been revisited to include an estimation of the systematic error coming
Scientific paper
10.1088/1126-6708/1998/12/004
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.
Boucaud Ph.
Leroy J.-P.
Micheli J.
Pene Olivier
Roiesnel Claude
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