Non-perturbative gluon-hadron inputs for all available forms of QCD factorization

TL;DR

This paper develops non-perturbative gluon-hadron inputs for various QCD factorization schemes using a Resonance Model, providing a unified approach for polarized and unpolarized gluon distributions and comparing them with existing models.

Contribution

It introduces a Resonance Model-based method to construct non-perturbative inputs for gluon distributions applicable to all forms of QCD factorization.

Findings

Derived mathematical criteria for input models.

Constructed a Resonance Model satisfying these criteria.

Provided gluon distribution inputs for unpolarized and polarized hadrons.

Abstract

Description of hadronic reactions at high energies is conventionally done on basis of QCD factoriza- tion so that factorization convolutions involve non-perturbative inputs mimicking non-perturbative contributions and perturbative evolution of those inputs. We construct the inputs for the gluon- hadron scattering amplitudes in the forward kinematics and, using the Optical theorem, convert them into inputs for gluon distributions in the both polarized and unpolarized hadrons. Firstly, we derive general mathematical criteria which any model for the inputs should obey and then suggest a Resonance Model satisfying those criteria. This model is inspired by a simple observation: after emitting an active parton off the hadron, the remaining ensemble of spectators becomes unstable and therefore it can be described through factors of the resonance type. Exploiting Resonance Model, we obtain non-perturbative inputs for gluon distributions in unpolarized and polarized hadrons for all available forms of QCD factorization: Basic, KT - and Collinear Factorizations. We compare the obtained inputs to the inputs available in the literature.