https://doi.org/10.1051/epjconf/201713708006
Controlling quark mass determinations non-perturbatively in three-flavour QCD
1 Instituto de Física de Cantabria / Instituto de Física Teórica (IFCA/IFT-CSIC)
2 Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, C/ Nicolás Cabrera 13-15 Cantoblanco, Madrid, 28049 Spain
3 Universidad Autónoma de Madrid, Cantoblanco, Madrid 28049, Spain
4 Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland
5 INFN, Sezione di Tor Vergata, c/o Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
a e-mail: p.fritzsch@csic.es
Published online: 22 March 2017
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 
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.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
