TY - JOUR
T1 - Five-loop renormalisation of QCD in covariant gauges
AU - Chetyrkin, K. G.
AU - Falcioni, G.
AU - Herzog, F.
AU - Vermaseren, J. A. M.
N1 - 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
PY - 2017/10/25
Y1 - 2017/10/25
N2 - 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.
AB - 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.
KW - hep-ph
U2 - 10.1007/JHEP10(2017)179
DO - 10.1007/JHEP10(2017)179
M3 - Article
SN - 1029-8479
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
M1 - 179
ER -