Non-perturbative determination of improvement coefficients bm and bA- bP and normalisation factor ZmZP/ ZA with Nf= 3 Wilson fermions: ALPHA Collaboration

Abstract

We determine non-perturbatively the normalisation parameter ZmZP/ ZA as well as the Symanzik coefficients bm and bA- bP, required in O (a) improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in Nf= 3 QCD with 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 Nf= 2 + 1 QCD simulations with Wilson fermions at lattice spacings below 0.1fm, are of particular use for the non-perturbative calculation of O (a) improved renormalised quark masses.