Lambda_msbar from the static potential for QCD with n_f=2 dynamical quark flavors

TL;DR

This paper accurately determines Lambda_msbar for QCD with two dynamical quark flavors by fitting perturbative and lattice results of the static potential, leveraging recent advances in calculations and simulations.

Contribution

It introduces a precise determination of Lambda_msbar for n_f=2 QCD using combined perturbative and lattice data with recent theoretical and computational improvements.

Findings

Lambda_msbar=315(30) MeV with conservative errors

First determination using O(alpha_s^4) static potential matching

Utilizes recent lattice simulations at fine lattice spacing

Abstract

We determine Lambda_msbar for QCD with n_f=2 dynamical quark flavors by fitting the Q-Q-bar static potential known analytically in the perturbative regime up to terms of O(alpha_s^4) and ~alpha_s^4 ln(alpha_s) to corresponding results obtained from lattice simulations. This has become possible, due to recent advances in both perturbative calculations, namely the determination and publication of the last missing contribution to the Q-Q-bar static potential at O(alpha_s^4), and lattice simulations with n_f=2 dynamical quark flavors performed at the rather fine lattice spacing of a~0.042 fm. Imposing conservative error estimates we obtain Lambda_msbar=315(30) MeV.