Determination of $\alpha_{S}$ beyond NNLO using event shape moments

We consider a method for determining the QCD strong coupling constant using fits of perturbative predictions for event shape moments to data collected at the LEP, PETRA, PEP and TRISTAN colliders. To obtain highest accuracy predictions we use a combination of perturbative ${\cal{O}}(\alpha_{S}^{3})$ calculations and estimations of the ${\cal{O}}(\alpha_{S}^{4})$ perturbative coefficients from data. We account for non-perturbative effects using modern Monte Carlo event generators and analytic hadronization models.