% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{DallaBrida:599764,
      author       = {Dalla Brida, Mattia and Höllwieser, Roman and Knechtli,
                      Francesco and Korzec, Tomasz and Sint, Stefan and Sommer,
                      Rainer},
      collaboration = {{ALPHA Collaboration}},
      title        = {{H}eavy {W}ilson quarks and {O}(a) improvement:
                      nonperturbative results for b$_{g}$},
      reportid     = {PUBDB-2023-07490, DESY-24-001. arXiv:2401.00216},
      year         = {2024},
      note         = {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”.},
      abstract     = {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, $
                      {\tilde{g}}_0^2={g}_0^2\left(1+{b}_{\textrm{g}}a{m}_{\textrm{q}}\right)
                      $, and the determination of $
                      {b}_{\textrm{g}}\left({g}_0^2\right) $ 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$_{s}$(m$_{Z}$) [1].
                      However, the improvement conditions and some insight into
                      systematic effects may prove useful in other contexts, too.},
      keywords     = {quark: Wilson (INSPIRE) / dimension: 5 (INSPIRE) / flow:
                      gradient (INSPIRE) / mass: operator (INSPIRE) / quantum
                      chromodynamics (INSPIRE) / lattice field theory: action
                      (INSPIRE) / space-time (INSPIRE) / symmetry: chiral
                      (INSPIRE) / decoupling (INSPIRE) / nonperturbative (INSPIRE)
                      / mass dependence (INSPIRE) / rescaling (INSPIRE) /
                      perturbation theory (INSPIRE) / beta function (INSPIRE) /
                      coupling constant (INSPIRE) / Algorithms and Theoretical
                      Developments (autogen) / Lattice QCD (autogen) /
                      Non-Perturbative Renormalization (autogen) / Standard Model
                      Parameters (autogen)},
      cin          = {$Z_ZPPT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      EuroPLEx - European network for Particle physics, Lattice
                      field theory and Extreme computing (813942)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)813942},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2401.00216},
      howpublished = {arXiv:2401.00216},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2401.00216;\%\%$},
      doi          = {10.3204/PUBDB-2023-07490},
      url          = {https://bib-pubdb1.desy.de/record/599764},
}