Non-perturbative determination of improvement coefficients [Formula omitted] and [Formula omitted] and normalisation factor [Formula omitted] with [Formula omitted] Wilson fermions

We determine non-perturbatively the normalisation parameter [Formula omitted] as well as the Symanzik coefficients [Formula omitted] and [Formula omitted], required in [Formula omitted] improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simul...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2019-09, Vol.79 (9), p.1-23
Main Authors: de Divitiis, Giulia Maria, Fritzsch, Patrick, Heitger, Jochen, Köster, Carl Christian, Kuberski, Simon, Vladikas, Anastassios
Format: Article
Language:English
Subjects:
Computer simulation
Fermions
Mathematical analysis
Quantum chromodynamics
Quarks
Online Access:Get full text
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Summary:We determine non-perturbatively the normalisation parameter [Formula omitted] as well as the Symanzik coefficients [Formula omitted] and [Formula omitted], required in [Formula omitted] improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in [Formula omitted] QCD with [Formula omitted] 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 [Formula omitted] QCD simulations with Wilson fermions at lattice spacings below [Formula omitted], are of particular use for the non-perturbative calculation of [Formula omitted] improved renormalised quark masses.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7287-1