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

TL;DR

This paper reviews the calculation of off-forward anomalous dimensions at large quark flavor number, introducing a method to generate all-order results using conformal symmetry, extending previous forward anomalous dimension work.

Contribution

It presents a novel approach to compute off-forward anomalous dimensions to all orders in _s using conformal symmetry at the Wilson-Fisher critical point.

Findings

Derived a consistency relation for anomalous dimensions.

Developed a method to generate all-order anomalous dimensions.

Extended previous results from forward to off-forward cases.

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.