Process-independent effective coupling and the pion structure function

TL;DR

This paper calculates pion structure functions using the Dyson-Schwinger equations framework, exploring two approaches, and discusses their QCD evolution driven by an effective charge from a hadronic scale to experimental scales.

Contribution

It introduces two consistent methods for calculating pion structure functions within the DSE framework and analyzes their QCD evolution with an effective charge.

Findings

Successful calculation of pion structure functions using DSE methods

Demonstration of QCD evolution driven by an effective charge

Compatibility of approaches across different energy scales

Abstract

We sketch the calculation of the pion structure functions within the DSE framework, following two alternative albeit consistent approaches, and discuss then their QCD evolution, the running driven by an effective charge, from a hadronic scale up to any larger one accessible to experiment.