Analyticity Constraints for Hadron Amplitudes: Going High to Heal Low Energy Issues

TL;DR

This paper leverages the analyticity property of hadron scattering amplitudes to connect low and high energy models, enabling better testing, validation, and improvement of these models for hadron spectroscopy and physics searches.

Contribution

It introduces a novel method to test low energy hadron models against high energy data using analyticity constraints, improving model reliability.

Findings

High energy data can validate low energy models

Identifies deficiencies in current hadron scattering models

Enhances stability of partial wave analyses

Abstract

Analyticity constitutes a rigid constraint on hadron scattering amplitudes. This property is used to relate models in different energy regimes. Using meson photoproduction as a benchmark, we show how to test contemporary low energy models directly against high energy data. This method pinpoints deficiencies of the models and treads a path to further improvement. The implementation of this technique enables one to produce more stable and reliable partial waves for future use in hadron spectroscopy and new physics searches.