Five-loop renormalisation of QCD in covariant gauges

Abstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results conf...

Full description

Bibliographic Details
Main Authors: K. G. Chetyrkin, G. Falcioni, F. Herzog, J.A.M. Vermaseren
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)179
Description
Summary:Abstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator A 2 as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.
ISSN:1029-8479