Non-perturbative determination of improvement coefficients $$b_\mathrm{m}$$ and $$b_\mathrm{A}-b_\mathrm{P}$$ and normalisation factor $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ with $$N_\mathrm{f}= 3$$ Wilson fermions
Giulia Divitiis (Dipartimento di Fisica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, Rome, 00133, Italy, INFN, “Rome Tor Vergata” Division, c/o Dipartimento di Fisica, Via della Ricerca Scientifica 1, Rome, 00133, Italy); Patrick Fritzsch (Theoretical Physics Department, CERN, Geneva 23, 1211, Switzerland); Jochen Heitger (Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, Münster, 48149, Germany); Carl Köster (Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, Münster, 48149, Germany); Simon Kuberski (Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, Münster, 48149, Germany); et al - Show all 6 authors
We determine non-perturbatively the normalisation parameter $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ as well as the Symanzik coefficients $$b_\mathrm{m}$$ and $$b_\mathrm{A}-b_\mathrm{P}$$ , required in $$\mathrm{O}(a)$$ improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in $$N_\mathrm{f}=3$$ QCD with $$\mathrm{O}(a)$$ 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 $$N_\mathrm{f}=2+1$$ QCD simulations with Wilson fermions at lattice spacings below $$0.1\,\mathrm{fm}$$ , are of particular use for the non-perturbative calculation of $$\mathrm{O}(a)$$ improved renormalised quark masses.
