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

Luthe, Thomas; Maier, Andreas; Marquard, Peter; Schröder, York

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.

Citation

Luthe, T., Maier, A., Marquard, P., & Schröder, Y. (2017). The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. Journal of High Energy Physics, 2017(10), Article 166. https://doi.org/10.1007/jhep10%282017%29166

• Journal Article Type: Article
• Acceptance Date: Oct 11, 2017
• Online Publication Date: Oct 24, 2017
• Publication Date: Oct 24, 2017
• Deposit Date: Nov 29, 2017
• Publicly Available Date: Nov 29, 2017
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2017
• Issue: 10
• Article Number: 166
• DOI: https://doi.org/10.1007/jhep10%282017%29166