Off-forward anomalous dimensions in the leading-$n_f$ limit

Abstract

We review the computation of off-forward anomalous dimensions in the limit of a large number of quark flavors $n_f$. The method is based on a consistency relation the anomalous dimensions have to obey, which is a direct consequence of the renormalization structure of the operators in the chiral limit. In addition, we present a way to generate the anomalous dimensions to all orders in the strong coupling ${\alpha }_s$. This is based on exact conformal symmetry at the Wilson-Fisher critical point and provides an extension of previous calculations of this type for the forward anomalous dimensions.

Comments: 13 pages, LaTex, Proceedings to Loops and Legs in Quantum Field Theory 2022