Testing the OPE Wilson coefficient for A2 from lattice QCD with a dynamical charm

Abstract

Gluon and ghost propagators data, obtained in Landau gauge from lattice simulations with two light and two heavy dynamical quark flavours (Nf=2+1+1), are described here with a running formula including a four-loop perturbative expression and a nonperturbative OPE correction dom- inated by the local operator A2. The Wilson coefficients and their variation as a function of the coupling constant are extracted from the numerical data and compared with the theoretical ex- pressions that, after being properly renormalized, are known at O( 4). As also ms is rather well known for Nf=2+1+1, this allows for a precise consistency test of the OPE approach in the joint description of different observables.