QCD phenomenology with infrared finite SDE solutions

TL;DR

This paper explores how recent non-perturbative solutions indicating an infrared finite gluon propagator and coupling can be integrated into QCD calculations, improving phenomenological fits and reducing arbitrary parameters.

Contribution

It introduces a consistent scheme to incorporate IR finite Green's functions from SDE solutions into perturbative QCD, demonstrating improved phenomenological modeling.

Findings

Successful fits of experimental data using IR finite gluon propagator and coupling

Infrared mass scale acts as a natural cutoff, reducing arbitrary parameters

Discussion on extending IR finite Green's functions to higher-order perturbative terms

Abstract

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative information can be introduced into the QCD perturbative expansion in a consistent scheme, showing some examples of tree level hadronic reactions that successfully fit the experimental data with the gluon propagator and coupling constant depending on a dynamically generated gluon mass. This infrared mass scale acts as a natural cutoff and eliminates some of the ad hoc parameters usually found in perturbative QCD calculations. The application of these IR finite Green's functions in the case of higher order terms of the perturbative expansion is commented.