# Four-loop renormalization of QCD with a reducible fermion representation of the gauge group : anomalous dimensions and renormalization constants

Chetyrkin, K. G.; Zoller, M. F.

##### Abstract:
We present analytical results at four-loop level for the renormalization constants and anomalous dimensions of an extended QCD model with one coupling constant and an arbitrary number of fermion representations. One example of such a model is
the QCD plus gluinos sector of a supersymmetric theory where the gluinos are Majorana fermions in the adjoint representation of the gauge group. The renormalization constants of the gauge boson (gluon), ghost and fermion fields are analytically computed as well as those for the ghost-gluon vertex, the fermion-gluon vertex and the fermion mass. All other renormalization constants can be derived from these. Some of these results were already produced in Feynman gauge for the computation of the β-function of this model, which was recently published [1]. Here we present results for an arbitrary ε-parameter.

 Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP) Publikationstyp Zeitschriftenaufsatz Jahr 2017 Sprache Englisch Identifikator ISSN: 1029-8479, 1126-6708 urn:nbn:de:swb:90-715303 KITopen-ID: 1000071530 Erschienen in Journal of high energy physics Band 2017 Heft 6 Seiten Article: 74 Bemerkung zur Veröffentlichung Gefördert durch SCOAP3 Schlagworte Perturbative QCD, Renormalization Group Nachgewiesen in ScopusWeb of Science
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