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arxiv: 1606.08662 · v2 · submitted 2016-06-28 · ✦ hep-ph

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Towards the five-loop Beta function for a general gauge group

Thomas Luthe , Andreas Maier , Peter Marquard , York Schroder
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classification ✦ hep-ph
keywords betafive-loopfunctiongaugegeneralgroupresultsagrees
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We present analytical results for the $N_f^4$ and $N_f^3$ terms of the five-loop Beta function, for a general gauge group. While the former term agrees with results available from large-$N_f$ studies, the latter is new and extends the value known for SU(3) from an independent calculation.

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Cited by 1 Pith paper

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

  1. Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

    hep-ph 2026-01 conditional novelty 4.0

    Asymptotic Padé approximants validated on five-loop QCD data now yield six-loop QCD beta-function and quark-mass anomalous-dimension predictions plus eight-loop results in scalar theory.