The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Abstract

We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-Nf term of the five-loop Beta function earlier, we here report on a confirmation of the all-Nf result that has in the meantime been published by another group. Furthermore, in order to push forward the 5-loop renormalization program regarding gauge parameter dependence, we present the linear terms of the complete set of anomalous dimensions, in an expansion in the covariant gauge parameter around the Feynman gauge.

17 pages, 2 ancillary files files available with the source. v2: journal version, reference added

References in corpus (4)

• The five-loop beta function of Yang-Mills theory with fermions
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Towards the five-loop Beta function for a general gauge group

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