Model analysis of the world data on the pion transition form factor

TL;DR

This paper analyzes how recent experimental data on the pion transition form factor can be explained by a combined perturbative and nonperturbative model, emphasizing the importance of matching at a specific hadronic scale.

Contribution

It introduces a model that seamlessly combines perturbative and nonperturbative approaches to describe the pion transition form factor, validated against recent experimental data.

Findings

Model remains consistent with experimental data within errors.

Matching at a hadronic scale influences high $Q^2$ behavior.

Additional $1/Q^2$ term impacts the form factor at high energies.

Abstract

We discuss the impact of recent Belle data on our description of the pion transition form factor based on the assumption that a perturbative formalism and a nonperturbative one can be matched in a physically acceptable manner at a certain hadronic scale $Q_{0}$. We discuss the implications of the different parameters of the model in comparing with world data and conclude that within experimental errors our description remains valid. Thus we can assert that the low $Q^2$ nonperturbative description together with an additional $1/Q^2$ term at the matching scale have a strong influence on the $Q^2$ behavior up to very high values of $Q^2$ .