%0 Electronic Article
%A Dalla Brida, Mattia
%A Höllwieser, Roman
%A Knechtli, Francesco
%A Korzec, Tomasz
%A Sint, Stefan
%A Sommer, Rainer
%T Heavy Wilson quarks and O(a) improvement: nonperturbative results for b<sub>g</sub>
%N DESY-24-001
%M PUBDB-2023-07490
%M DESY-24-001
%M arXiv:2401.00216
%D 2024
%Z J. High Energ. Phys. 2024, 188 (2024). 26 pages, 5 figures. Included additional references and fixed some typos. Matches published version  The work is supported by the German Research Foundation (DFG) research unit FOR5269 “Futuremethods for studying confined gluons in QCD”. 
%X With Wilson quarks, on-shell O(a) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare parameters. We here focus on the rescaled bare coupling,  ~g<sub>0</sub><sup>2</sup>=g<sub>0</sub><sup>2</sup>(1+b<sub>g</sub>am<sub>q</sub>) , and the determination of  b<sub>g</sub>(g<sub>0</sub><sup>2</sup>)  which is currently only known to 1-loop order of perturbation theory. We derive suitable improvement conditions in the chiral limit and in a finite space-time volume and evaluate these for different gluonic observables, both with and without the gradient flow. The choice of β-values and the line of constant physics are motivated by the ALPHA collaboration’s decoupling strategy to determine α<sub>s</sub>(m<sub>Z</sub>) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too.
%K quark: Wilson (INSPIRE)
%K dimension: 5 (INSPIRE)
%K flow: gradient (INSPIRE)
%K mass: operator (INSPIRE)
%K quantum chromodynamics (INSPIRE)
%K lattice field theory: action (INSPIRE)
%K space-time (INSPIRE)
%K symmetry: chiral (INSPIRE)
%K decoupling (INSPIRE)
%K nonperturbative (INSPIRE)
%K mass dependence (INSPIRE)
%K rescaling (INSPIRE)
%K perturbation theory (INSPIRE)
%K beta function (INSPIRE)
%K coupling constant (INSPIRE)
%K Algorithms and Theoretical Developments (autogen)
%K Lattice QCD (autogen)
%K Non-Perturbative Renormalization (autogen)
%K Standard Model Parameters (autogen)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2023-07490
%U https://bib-pubdb1.desy.de/record/599764