Some numerical studies of the evolution of generalized parton distributions

TL;DR

This paper investigates the evolution of generalized parton distributions at small momentum fractions, focusing on their ratios, quark-gluon mixing, and t-dependence, providing insights into their behavior in high-energy physics.

Contribution

It offers a detailed analysis of the evolution patterns of generalized parton distributions, emphasizing the ratio to forward limits, quark-gluon mixing, and t-dependence, which are less explored in prior studies.

Findings

The ratio of GPDs to their forward limits exhibits specific evolution patterns.

Quark-gluon mixing significantly influences GPD evolution.

Dependence on squared momentum transfer t affects GPD behavior at small momentum fractions.

Abstract

We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks and gluons, and to the dependence on the squared momentum transfer t.