Snowmass white paper: Need for amplitude analysis in the discovery of new hadrons

TL;DR

This paper emphasizes the importance of developing advanced amplitude analysis methods, grounded in fundamental principles, to improve the understanding and discovery of new hadrons in particle physics.

Contribution

It advocates for the integration of first-principles constrained amplitude analysis techniques in hadron spectroscopy research.

Findings

Enhanced amplitude analysis methods can lead to more robust hadron identification.

Combining experimental data with lattice QCD improves hadron spectrum understanding.

First-principles constraints are essential for reliable interpretation of scattering data.

Abstract

We highlight the need for the development of comprehensive amplitude analysis methods to further our understanding of hadron spectroscopy. Reaction amplitudes constrained by first principles of $S$-matrix theory and by QCD phenomenology are needed to extract robust interpretations of the data from experiments and from lattice calculations.