Anomalous dimensions of twist-two operators in extended And super Yang-Mills theories
B.A. Kniehl (II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, Hamburg, Germany)
; V.N. Velizhanin (II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, Hamburg, Germany, Theoretical Physics Division, NRC “Kurchatov Institute”, Petersburg Nuclear Physics Institute, Orlova Roscha, Gatchina, Russia)
We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended and super Yang-Mills theories (SYM). In the case of SYM, we compute the four-loop anomalous dimension of the twist-two operator for several fixed values of Lorentz spin. This is the first direct diagrammatic calculation of this kind, and we confirm results previously obtained by means of integrability. For SYM, we obtain the general result for the anomalous dimension at third order of perturbation theory and find the three-loop Cusp anomalous dimension.