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001     617187
005     20250715170953.0
024 7 _ |a 10.1007/JHEP01(2024)188
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100 1 _ |a Dalla Brida, Mattia
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245 _ _ |a Heavy Wilson quarks and O(a) improvement: nonperturbative results for b$_{g}$
260 _ _ |a [Trieste]
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500 _ _ |a 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”.
520 _ _ |a 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.
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650 _ 7 |a quark: Wilson
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650 _ 7 |a dimension: 5
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650 _ 7 |a flow: gradient
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650 _ 7 |a mass: operator
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650 _ 7 |a quantum chromodynamics
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650 _ 7 |a lattice field theory: action
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650 _ 7 |a space-time
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650 _ 7 |a symmetry: chiral
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650 _ 7 |a decoupling
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650 _ 7 |a nonperturbative
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650 _ 7 |a mass dependence
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650 _ 7 |a rescaling
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650 _ 7 |a perturbation theory
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650 _ 7 |a beta function
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650 _ 7 |a coupling constant
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650 _ 7 |a Algorithms and Theoretical Developments
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650 _ 7 |a Non-Perturbative Renormalization
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700 1 _ |a Höllwieser, Roman
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700 1 _ |a Knechtli, Francesco
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700 1 _ |a Korzec, Tomasz
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700 1 _ |a Sint, Stefan
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700 1 _ |a Sommer, Rainer
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700 1 _ |a ALPHA Collaboration
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|t Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_g$
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