Exclusive evolution kernels in two-loop order: parity even sector

TL;DR

This paper develops a method to construct two-loop order evolution kernels for parity even sectors without explicit calculations, using symmetry constraints and known functions.

Contribution

It introduces a formalism that avoids explicit two-loop calculations by leveraging conformal, supersymmetric constraints, and existing splitting functions.

Findings

Constructed non-forward evolution kernels at next-to-leading order.

Formalism reduces computational complexity by avoiding explicit two-loop calculations.

Provides a complete framework for scale dependence of parity even singlet distribution amplitudes.

Abstract

We complete the construction of the non-forward evolution kernels in next-to-leading order responsible for the scale dependence of e.g. parity even singlet distribution amplitudes. Our formalism is designed to avoid any explicit two-loop calculations employing instead conformal and supersymmetric constraints as well as known splitting functions.