The pion-kaon scattering amplitude constrained with forward dispersion relations up to 1.6 GeV

Abstract

In this work we provide simple and precise parameterizations of the existing $πK$ scattering data from threshold up to 1.6 GeV, which are constrained to satisfy forward dispersion relations as well as three additional threshold sum rules. We also provide phenomenological values of the threshold parameters and of the resonance poles that appear in elastic scattering.

References and comments added. Some errata corrected. Results unchanged. Version accepted for publication in Phys. Rev. D