Controlling quark mass determinations non-perturbatively in   three-flavour QCD
  The determination of quark masses from lattice QCD simulations requires a non-perturbative renormalization procedure and subsequent scale evolution to high energies, where a conversion to the commonly used MS-bar scheme can be safely established. We present our results for the non-perturbative running of renormalized quark masses in Nf=3 QCD between the electroweak and a hadronic energy scale, where lattice simulations are at our disposal. Recent theoretical advances in combination with well-established techniques allows to follow the scale evolution to very high statistical accuracy, and full control of systematic effects. 
Isabel Campos, Patrick Fritzsch, Carlos Pena, David Preti, Alberto   Ramos, Anastassios Vladikas
hep-lat hep-ph