Publication Date:
2019-09-01
Description:
We determine non-perturbatively the normalisation parameter $$Z_mathrm{m}Z_mathrm{P}/Z_mathrm{A}$$ZmZP/ZA as well as the Symanzik coefficients $$b_mathrm{m}$$bm and $$b_mathrm{A}-b_mathrm{P}$$bA-bP, required in $$mathrm{O}(a)$$O(a) improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in $$N_mathrm{f}=3$$Nf=3 QCD with $$mathrm{O}(a)$$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 $$N_mathrm{f}=2+1$$Nf=2+1 QCD simulations with Wilson fermions at lattice spacings below $$0.1,mathrm{fm}$$0.1fm, are of particular use for the non-perturbative calculation of $$mathrm{O}(a)$$O(a) improved renormalised quark masses.
Print ISSN:
1434-6044
Electronic ISSN:
1434-6052
Topics:
Physics
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