Covariant Extension of the GPD overlap representation at low Fock states

TL;DR

This paper introduces a new method to extend Generalized Parton Distributions across different kinematic regions using Lightfront Wave Functions, ensuring key physical constraints are met, and demonstrates its effectiveness with various models.

Contribution

The authors develop a systematic approach to extend GPDs from the DGLAP to ERBL region while satisfying polynomiality and positivity, unifying GPD and TMD phenomenology.

Findings

Method successfully extends GPDs across regions.

Validated with pion and nucleon Lightfront Wave Functions.

Robust against phenomenological parameterizations.

Abstract

We present a novel approach to compute Generalized Parton Distributions within the Lightfront Wave Function overlap framework. We show how to systematically extend Generalized Parton Distributions computed within the DGLAP region to the ERBL one, fulfilling at the same time both the polynomiality and positivity conditions. We exemplify our method using pion Lightfront Wave Functions inspired by recent results of non-perturbative continuum techniques and algebraic nucleon Lightfront Wave Functions. We also test the robustness of our algorithm on reggeized phenomenological parameterizations. This approach paves the way to a better understanding of the nucleon structure from non-perturbative techniques and to a unification of Generalized Parton Distributions and Transverse Momentum Dependent Parton Distribution Functions phenomenology through Lightfront Wave Functions.