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

We briefly review our recent works where we use dispersion relations to constrain fits to data on πK → πK and ππ→KK¯$ \pi \pi \to K\bar 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 K0*(700)$ 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