TY  - JOUR
AU  - Dalla Brida, Mattia
AU  - Höllwieser, Roman
AU  - Knechtli, Francesco
AU  - Korzec, Tomasz
AU  - Sint, Stefan
AU  - Sommer, Rainer
TI  - Heavy Wilson quarks and O(a) improvement: nonperturbative results for b<sub>g</sub>
JO  - Journal of high energy physics
VL  - 2024
IS  - 1
SN  - 1029-8479
CY  - [Trieste]
PB  - SISSA
M1  - PUBDB-2024-06646
M1  - arXiv:2401.00216
M1  - DESY-24-001
SP  - 188
PY  - 2024
N1  - 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“Future methods for studying confined gluons in QCD”. 
AB  - 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.
KW  - quark: Wilson (INSPIRE)
KW  - dimension: 5 (INSPIRE)
KW  - flow: gradient (INSPIRE)
KW  - mass: operator (INSPIRE)
KW  - quantum chromodynamics (INSPIRE)
KW  - lattice field theory: action (INSPIRE)
KW  - space-time (INSPIRE)
KW  - symmetry: chiral (INSPIRE)
KW  - decoupling (INSPIRE)
KW  - nonperturbative (INSPIRE)
KW  - mass dependence (INSPIRE)
KW  - rescaling (INSPIRE)
KW  - perturbation theory (INSPIRE)
KW  - beta function (INSPIRE)
KW  - coupling constant (INSPIRE)
KW  - Algorithms and Theoretical Developments (autogen)
KW  - Lattice QCD (autogen)
KW  - Non-Perturbative Renormalization (autogen)
KW  - Standard Model Parameters (autogen)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001154661000009
DO  - DOI:10.1007/JHEP01(2024)188
UR  - https://bib-pubdb1.desy.de/record/617187
ER  -