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 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 as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.
Keywords
Cite
@article{arxiv.1709.08541,
title = {Five-loop renormalisation of QCD in covariant gauges},
author = {K. G. Chetyrkin and G. Falcioni and F. Herzog and J. A. M. Vermaseren},
journal= {arXiv preprint arXiv:1709.08541},
year = {2018}
}
Comments
17 pages; FORM and Mathematica result files available with the source; corrected minor typos, added references, journal ref, 1 remark, 1 note and 1 additional result file