Konishi form factor at three loops in N = 4 supersymmetric Yang-Mills theory

摘要

We present the first results on the third order corrections to on-shell formfactor (FF) of theKonishi operator inN = 4 supersymmetricYang-Mills theory using Feynman diagrammatic approach inmodified dimensional reduction (DR) scheme.We show that it satisfies the KG equation in DR scheme while the result obtained in four dimensional helicity (FDH) scheme needs to be suitably modified not only to satisfy the KG equation but also to get the correct ultraviolet (UV) anomalous dimensions. We find that the cusp, soft and collinear anomalous dimensions obtained to third order are same as those of the FF of the half-BPS operator confirming the universality of the infrared (IR) structures of on-shell form factors. In addition, the highest transcendental terms of the FF of the Konishi operator are identical to those of half-BPS operator indicating the probable existence of deeper structure of the on-shell FF.We also confirmthe UVanomalous dimensions of the Konishi operator up to third order providing a consistency check on the both UVand universal IR structures inN = 4.