Up- and down-quark masses from finite-energy QCD sum rules to five loops

@article{Dominguez2009UpAD,
  title={Up- and down-quark masses from finite-energy QCD sum rules to five loops},
  author={Cesareo A. Dominguez and Nasrallah F. Nasrallah and Raoul Rontsch and Karl Schilcher},
  journal={Physical Review D},
  year={2009},
  volume={79},
  pages={014009}
}
The up- and down-quark masses are determined from an optimized QCD finite-energy sum rule involving the correlator of axial-vector divergences, to five-loop order in perturbative QCD, and including leading nonperturbative QCD and higher order quark-mass corrections. This finite-energy sum rule is designed to reduce considerably the systematic uncertainties arising from the (unmeasured) hadronic resonance sector, which in this framework contributes less than 3--4% to the quark mass. This is… 

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