Implication of the overlap representation for modelling generalized parton distributions

TL;DR

This paper presents a light-cone wave function model for generalized parton distributions that satisfies key theoretical constraints and predicts x_Bj-dependent t-behavior of hadronic amplitudes.

Contribution

It introduces a novel overlap-based model for GPDs that incorporates duality and satisfies positivity and polynomiality constraints.

Findings

Model predicts x_Bj-dependent t-behavior of hadronic amplitudes.

Proposes an improved ansatz for double distributions.

Establishes a relation between GPDs and transverse momentum dependent PDFs.

Abstract

Based on a field theoretically inspired model of light-cone wave functions, we derive valence-like generalized parton distributions and their double distributions from the wave function overlap in the parton number conserved s-channel. The parton number changing contributions in the t-channel are restored from duality. In our construction constraints of positivity and polynomiality are simultaneously satisfied and it also implies a model dependent relation between generalized parton distributions and transverse momentum dependent parton distribution functions. The model predicts that the t-behavior of resulting hadronic amplitudes depends on the Bjorken variable x_Bj. We also propose an improved ansatz for double distributions that embeds this property.