Complete renormalization of QCD at five loops
Thomas Luthe (Faculty of Physics, University of Bielefeld, 33501, Bielefeld, Germany); Andreas Maier (Institute for Particle Physics Phenomenology, Durham University, Durham, United Kingdom); Peter Marquard (Deutsches Elektronen Synchrotron (DESY), Platanenallee 6, Zeuthen, Germany); York Schröder (Grupo de Física de Altas Energías, Universidad del Bío-Bío, Casilla 447, Chillán, Chile)
We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and -field anomalous dimensions and the Beta function, this completes the 5-loop renormalization program of gauge theories in that gauge.