Three-gluon running coupling from lattice QCD at Nf = 2 + 1 + 1: a consistency check of the OPE approach

We present a lattice calculation of the renormalized running coupling constant in symmetric (MOM) and asymmetric \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \left( {\widetilde{\mathrm{MOM}}} \right) $\end{document} momentum substraction schemes including u, d, s and c quarks in the sea. An Operator Product Expansion dominated by the dimension-two 〈A2〉 condensate is used to fit the running of the coupling. We argue that the agreement in the predicted 〈A2〉 condensate for both schemes is a strong support for the validity of the OPE approach and the effect of this non-gauge invariant condensate over the running of the strong coupling.