Analytical determination of the QCD quark masses

TL;DR

This paper reviews recent advances in analytically determining QCD quark masses using finite energy sum rules, achieving unprecedented precision comparable to lattice QCD results.

Contribution

It critically compares analytical sum rule methods with other approaches and addresses systematic uncertainties, enhancing the accuracy of quark mass determinations.

Findings

Quark mass values with unprecedented accuracy

Analytical methods now rival lattice QCD in precision

Systematic uncertainties have been effectively managed

Abstract

The current status of determinations of the QCD running quark masses is reviewed. Emphasis is on recent progress on analytical precision determinations based on finite energy QCD sum rules. A critical discussion of the merits of this approach over other alternative QCD sum rules is provided. Systematic uncertainties from both the hadronic and the QCD sector have been recently identified and dealt with successfully, thus leading to values of the quark masses with unprecedented accuracy. Results currently rival in precision with lattice QCD determinations.