Basic properties of GPDs and modelling of the latter

TL;DR

This paper introduces a Radon transform-based method for modeling Generalised Parton Distributions (GPDs) that ensures all theoretical constraints, including polynomiality and positivity, are satisfied, and extends models across kinematic regions.

Contribution

It presents a novel Radon transform approach that systematically restores polynomiality in GPD models and extends them from DGLAP to ERBL regions using Lightfront Wave Functions.

Findings

Method successfully enforces polynomiality and positivity constraints.

Extends GPD models from DGLAP to ERBL regions.

Demonstrates approach with Lightfront Wave Function models.

Abstract

We present here a new method based on the Radon transform to model Generalised Parton Distributions (GPDs). It allows to fulfil all theoretical constraints applying on GPDs, especially polynomiality and positivity at the same time. More specifically, we show how polynomiality can be systematically restored within the framework of the overlaps of Lightfront Wave Functions (LFWFs). It provides a systematic way to extend models defined solely in the DGLAP kinematical region to the ERBL one. We then exemplify our approach using LFWFs models.