Resonance model for non-perturbative inputs to gluon distributions in the hadrons

TL;DR

This paper develops a resonance model to construct non-perturbative inputs for gluon distributions in hadrons, linking elastic scattering amplitudes to gluon distributions and deriving constraints within various factorization frameworks.

Contribution

It introduces a resonance-based approach to model non-perturbative gluon inputs, connecting scattering amplitudes with gluon distributions across different factorization schemes.

Findings

Constructed non-perturbative inputs using a resonance model.

Derived theoretical constraints from UV and IR divergence analysis.

Related results to K_T and Collinear Factorization frameworks.

Abstract

We construct non-perturbative inputs for the elastic gluon-hadron scattering amplitudes in the forward kinematic region for both polarized and non-polarized hadrons. We use the optical theorem to relate invariant scattering amplitudes to the gluon distributions in the hadrons. By analyzing the structure of the UV and IR divergences, we can determine theoretical conditions on the non-perturbative inputs, and use these to construct the results in a generalized Basic Factorization framework using a simple Resonance Model. These results can then be related to the K_T and Collinear Factorization expressions, and the corresponding constrains can be extracted.