The determination of alpha_s(M_z) from perturbative analyses of short-distance-sensitive lattice QCD observables revisited

TL;DR

This paper revisits the determination of the strong coupling constant alpha_s(M_Z) using updated lattice QCD data and multiple observables, achieving consistent results that align with recent non-lattice measurements.

Contribution

It introduces a modified analysis of lattice QCD observables for alpha_s(M_Z) and compares it with previous approaches, highlighting their complementarity.

Findings

Consistent alpha_s(M_Z) value of 0.1192(11) obtained

Good agreement with recent non-lattice determinations

Discussion of the relationship between different re-analyses

Abstract

The determination of alpha_s(M_Z) via perturbative analyses of short-distance-sensitive lattice observables is revisited, incorporating new lattice data and performing a modified version of the original analysis. The analysis employs two high-intrinsic-scale observables, log (W_11) and log(W_12), and one lower-intrinsic-scale observable, log(W_12/u_0^6). We find good consistency among the values extracted using the different observables and a final result, alpha_s(M_Z)=0.1192(11), in excellent agreement with various recent non-lattice determinations, as well as with the results of a similar, but not identical, re-analysis by the HPQCD collaboration. The relation between the two re-analyses is discussed, focussing on the complementarity of the two approaches.