https://doi.org/10.1140/epjc/s10052-019-7287-1
Regular Article - Theoretical Physics
Non-perturbative determination of improvement coefficients 
and 
and normalisation factor 
with 
Wilson fermions
ALPHA Collaboration
1
Dipartimento di Fisica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy
2
INFN, “Rome Tor Vergata” Division, c/o Dipartimento di Fisica, Via della Ricerca Scientifica 1, 00133, Rome, Italy
3
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
4
Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, 48149, Münster, Germany
* e-mail: heitger@uni-muenster.de
Received:
14
June
2019
Accepted:
6
September
2019
Published online:
25
September
2019
We determine non-perturbatively the normalisation parameter as well as the Symanzik coefficients and , required in 
improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in 
QCD with improved massless sea and non-degenerate valence quarks in the finite-volume Schrödinger functional scheme. Our results, which cover the typical gauge coupling range of large-volume 
QCD simulations with Wilson fermions at lattice spacings below 
, are of particular use for the non-perturbative calculation of improved renormalised quark masses.
© The Author(s), 2019
