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arxiv: 1709.08541 · v2 · submitted 2017-09-25 · ✦ hep-ph

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Five-loop renormalisation of QCD in covariant gauges

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classification ✦ hep-ph
keywords gaugelandauresultscompletecovariantfive-loopgaugesrenormalisation
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We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator $A^2$ as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops

    hep-ph 2026-05 unverdicted novelty 7.0

    The heavy-quark condensate is computed at five-loop order in QCD with massive quarks, confirming the five-loop vacuum anomalous dimension.