English

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

High Energy Physics - Phenomenology 2017-12-06 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1709.07718,
  title  = {The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge},
  author = {Thomas Luthe and Andreas Maier and Peter Marquard and York Schroder},
  journal= {arXiv preprint arXiv:1709.07718},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T21:51:49.238Z