Non-perturbative determination of improvement coefficients bm and bA-bP and normalisation factor Zm*ZP/ZA with Nf=3 Wilson fermions
Abstract
We determine non-perturbatively the normalisation constant Zm*ZP/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 Schroedinger 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 0.1 fm, are of particular use for the non-perturbative calculation of O(a) improved renormalised quark masses.
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