High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coe cient from lattice QCD with a dynamical charm

Abstract

This paper reports on the determination of S from lattice simulations with 2+1+1 twisted-mass dynamical avours via the computation of the ghost-gluon coupling renormalized in the MOM Taylor scheme. A high-statistics sample of gauge con gurations, used to evaluate the coupling from ghost and gluon propagators, allows for the appropriate update of previous results, now performing an improved analysis of data with reduced statistical errors and the systematical uncertainties under a better control.