Five-loop quark mass and field anomalous dimensions for a general gauge group
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 analytical five-loop results for the quark mass and quark field anomalous dimensions, for a general gauge group and in the M S ¯ $$ \overline{\mathrm{MS}} $$ scheme. We confirm the values known for the gauge group SU(3) from an independent calculation, and find full agreement with results available from large- N f studies.