P. Boucaud et al., Lattice calculation of 1/p(2) corrections to alpha(s) and of Lambda(QCD) in the (MOM)over-tilde scheme., J HIGH EN P, (4), 2000, pp. NIL_128-NIL_145
We report on very strong evidence of the occurrence of power terms in alpha
(<(MOM)over tilde>) (p), the QCD running coupling constant in the <(MOM)ove
r tilde> scheme, by analyzing non-perturbative measurements from the lattic
e three-gluon vertex between 2.0 and 10.0 GeV at zero flavor. While putting
forward the caveat that this definition of the coupling is a gauge depende
nt one, the general relevance of such an occurrence is discussed. We fit La
mbda(<(MS)over bar>)((nf=0)) = 237 +/- 3(-10)(+0) MeV in perfect agreement
with the result obtained by the ALPHA group with a totally different method
. The power correction to alpha(<(MOM)over tilde>) (p) is fitted to (0.63 /- 0.03(-0.13)(+0.0)) GeV2/p(2).