Analyticity constraints for hadron amplitudes: Going high to heal low-energy issues

¹ Center for Exploration of Energy and Matter, Indiana University - Bloomington, IN 47403, USA
² Physics Department, Indiana University - Bloomington, IN 47405, USA
³ Department of Physics and Astronomy, Ghent University - B-9000 Ghent, Belgium
⁴ Theory Center, Thomas Jefferson National Accelerator Facility - 12000 Jefferson Avenue, Newport News, VA 23606, USA
⁵ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México - Ciudad de México 04510, Mexico
⁶ Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik - D-53115 Bonn, Germany
⁷ School of Informatics and Computing, Indiana University - Bloomington, IN 47405, USA

Received: 30 April 2018
Accepted: 11 June 2018

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.