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We report on an estimate of \alpha_s, renormalised in the MSbar scheme at thetau and Z^0 mass scales, by means of lattice QCD. Our major improvementcompared to previous lattice calculations is that, for the first time, noperturbative treatment at the charm threshold has been required since we haveused statistical samples of gluon fields built by incorporating the vacuumpolarisation effects of u/d, s and c sea quarks. Extracting \alpha_s in theTaylor scheme from the lattice measurement of the ghost-ghost-gluon vertex, weobtain \alpha_s^{MSbar}(m^2_Z)=0.1200(14) and\alpha_s^{MSbar}(m^2_tau)=0.339(13).

Lattice measurement of \alpha_s with a realistic charm quark