A note on the QCD evolution of generalized form factors

TL;DR

This paper discusses the simple leading-order QCD evolution of generalized form factors of hadrons, highlighting its practical importance in lattice and model analyses and revealing general evolution features.

Contribution

It presents a straightforward solution for the leading-order QCD evolution of generalized form factors using matrix triangular structures.

Findings

Solution expressed as matrix triangular equations

Practical relevance for lattice-gauge studies and models

Reveals general features of form factor evolution

Abstract

Generalized form factors of hadrons are objects appearing in moments of the generalized parton distributions. Their leading-order DGLAP-ERBL QCD evolution is exceedingly simple and the solution is given in terms of matrix triangular structures of linear equations where the coefficients are the evolution ratios. We point out that this solution has a practical importance in analyses where the generalized form factors are basic objects, e.g., the lattice-gauge studies or models. It also displays general features of their evolution.