# Five-loop quark mass and field anomalous dimensions for a general gauge group

Luthe, Thomas (Faculty of Physics, University of Bielefeld, 33501, Bielefeld, Germany) ; Maier, Andreas (Institute for Particle Physics Phenomenology, Durham University, Durham, United Kingdom) ; Marquard, Peter (Deutsches Elektronen Synchrotron (DESY), Platanenallee 6, Zeuthen, Germany) ; Schröder, York  (Grupo de Física de Altas Energías, Universidad del Bío-Bío, Casilla 447, Chillán, Chile)

19 January 2017

Abstract: 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.

Published in: JHEP 1701 (2017) 081