Anomalous dimensions for hard exclusive processes

TL;DR

This paper reviews recent advances in calculating the anomalous dimension matrix for composite operators in non-forward kinematics, crucial for understanding the scale dependence of parton distributions in exclusive processes.

Contribution

It introduces a new method using consistency relations derived from the operators' renormalization structure to compute the anomalous dimension matrix.

Findings

Enhanced understanding of the scale dependence of GPDs.

Development of a novel computational method for anomalous dimensions.

Improved accuracy in phenomenological models of exclusive processes.

Abstract

We give an overview of recent developments in the computation of the anomalous dimension matrix of composite operators in non-forward kinematics. The elements of this matrix determine the scale dependence of non-perturbative parton distributions, such as GPDs, and hence constitute important input for phenomenological studies of exclusive processes like deeply-virtual Compton scattering. Particular emphasis will be put on a recently developed method that exploits consistency relations for the anomalous dimension matrix which follow from the renormalization structure of the operators.