Rigorous pion electromagnetic form factor behavior in the space-like region

TL;DR

This paper derives a rigorous description of the pion electromagnetic form factor in the space-like region using new experimental data and analyticity principles, comparing results with existing models.

Contribution

It introduces a method to determine the pion form factor in the space-like region based on precise total cross-section data and analyticity, providing a model-independent analysis.

Findings

Rigorous pion form factor behavior obtained in the space-like region.

Comparison with existing models shows consistency and differences.

Enhanced understanding of pion structure through new data analysis.

Abstract

New precise experimental information on $\sigma_{tot}(e^+e^- \to \pi^+ \pi^-)$ is transferred into the space-like region, by taking advantage of the analyticity. As a result a rigorous pion electromagnetic form factor behavior is obtained. The latter with some existing model predictions is compared.