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.

arXiv comment13 pages, LaTex, Proceedings to Loops and Legs in Quantum Field Theory 2022