Reconstruction of non-forward evolution kernels

TL;DR

This paper introduces a new framework for reconstructing non-forward evolution kernels in quantum chromodynamics, leveraging conformal symmetry breaking and known splitting functions to avoid complex two-loop calculations.

Contribution

The authors develop a novel method to reconstruct non-forward kernels using conformal symmetry principles and forward splitting functions, bypassing explicit two-loop computations.

Findings

Framework successfully applied to chiral odd sector

Framework demonstrated for flavor singlet parity odd sector

Reconstruction avoids explicit two-loop calculations

Abstract

We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special conformal symmetry breaking part induced by the one-loop anomaly and conformal terms generated by forward next-to-leading order splitting functions, and thus avoids an explicit two-loop calculation. We demonstrate the formalism by applying it to the chiral odd and flavour singlet parity odd sectors.