EPJ Web of Conferences 212, 03003 (2019)
https://doi.org/10.1051/epjconf/201921203003

Dispersive analysis of the κ/K₀^*(700) meson and other light strange resonances

¹ Departamento de Física Teórica and IPARCOS. Universidad Complutense, 28040, Madrid, Spain
² Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland

^* e-mail: jrpelaez@ucm.es
^** e-mail: arodas@ucm.es
^*** e-mail: elvira@itp.unibe.ch

Published online: 17 June 2019

Abstract

We briefly review our recent works where we use dispersion relations to constrain fits to data on πK → πK and $\pi \pi \to K\overline{K}$ providing a simple but consistent description of these processes. Then, simple analytic methods allow to extract parameters of poles associated to light strange resonances without assuming a particular model. We also present preliminary results on a model-independent determination of the controversial κ or $K_0^{*}\left(700\right)$ resonance parameters, by using those constrained parameterizations as input for partial-wave hyperbolic dispersion relations that allow to perform a rigorous analytic continuation to determine its associated pole.