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000599764 1001_ $$0P:(DE-H253)PIP1018317$$aDalla Brida, Mattia$$b0
000599764 245__ $$aHeavy Wilson quarks and O(a) improvement: nonperturbative results for b$_{g}$
000599764 260__ $$c2024
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000599764 500__ $$aJ. 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”. 
000599764 520__ $$aWith Wilson quarks, on-shell O(a) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare parameters. We here focus on the rescaled bare coupling, $ {\tilde{g}}_0^2={g}_0^2\left(1+{b}_{\textrm{g}}a{m}_{\textrm{q}}\right) $, and the determination of $ {b}_{\textrm{g}}\left({g}_0^2\right) $ which is currently only known to 1-loop order of perturbation theory. We derive suitable improvement conditions in the chiral limit and in a finite space-time volume and evaluate these for different gluonic observables, both with and without the gradient flow. The choice of β-values and the line of constant physics are motivated by the ALPHA collaboration’s decoupling strategy to determine α$_{s}$(m$_{Z}$) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too.
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000599764 536__ $$0G:(EU-Grant)813942$$aEuroPLEx - European network for Particle physics, Lattice field theory and Extreme computing (813942)$$c813942$$fH2020-MSCA-ITN-2018$$x1
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000599764 650_7 $$2INSPIRE$$aquark: Wilson
000599764 650_7 $$2INSPIRE$$adimension: 5
000599764 650_7 $$2INSPIRE$$aflow: gradient
000599764 650_7 $$2INSPIRE$$amass: operator
000599764 650_7 $$2INSPIRE$$aquantum chromodynamics
000599764 650_7 $$2INSPIRE$$alattice field theory: action
000599764 650_7 $$2INSPIRE$$aspace-time
000599764 650_7 $$2INSPIRE$$asymmetry: chiral
000599764 650_7 $$2INSPIRE$$adecoupling
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000599764 650_7 $$2INSPIRE$$amass dependence
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000599764 650_7 $$2INSPIRE$$aperturbation theory
000599764 650_7 $$2INSPIRE$$abeta function
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000599764 650_7 $$2autogen$$aAlgorithms and Theoretical Developments
000599764 650_7 $$2autogen$$aLattice QCD
000599764 650_7 $$2autogen$$aNon-Perturbative Renormalization
000599764 650_7 $$2autogen$$aStandard Model Parameters
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000599764 7001_ $$0P:(DE-H253)PIP1086528$$aHöllwieser, Roman$$b1
000599764 7001_ $$0P:(DE-H253)PIP1093357$$aKnechtli, Francesco$$b2
000599764 7001_ $$0P:(DE-H253)PIP1019728$$aKorzec, Tomasz$$b3
000599764 7001_ $$0P:(DE-H253)PIP1019836$$aSint, Stefan$$b4
000599764 7001_ $$0P:(DE-H253)PIP1003629$$aSommer, Rainer$$b5$$udesy
000599764 7001_ $$0P:(DE-HGF)0$$aALPHA Collaboration$$b6$$eCollaboration Author
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