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

Abstract

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.

8 pages, 2 figures; v2 to match published version

References in corpus (2)

• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Massless propagators: applications in QCD and QED

Cited by in corpus (9)

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• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Five-loop renormalisation of QCD in covariant gauges
• Four loop renormalization of the Gross-Neveu model
• Effective Multi-Higgs Couplings to Gluons
• The method of global R* and its applications
• Five-loop massive tadpoles