Forward dispersion relations for pion-kaon scattering and the K*0(800) resonance

TL;DR

This paper analyzes pion-kaon scattering data using forward dispersion relations, providing parameterizations consistent with analyticity and extracting resonance parameters for K*0(800) and K*(892).

Contribution

It introduces a method that fits scattering data constrained by analyticity, yielding consistent parameterizations and resonance pole parameters.

Findings

Parameterizations compatible with forward dispersion relations up to 1.6 GeV

Resonance pole parameters for K*0(800) and K*(892) obtained

Data fits constrained by analyticity requirements

Abstract

We review our recent analysis of $\pi K$ scattering data in terms of forward dispersion relations, and also present the parameters of the strange resonances. This work consists of fits to the data that are constrained to satisfy analyticity requirements. The method yields a set of simple and consistent parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. We also obtain the pole parameters of the $K^*_0(800)$ and the $K^*(892)$ resonances.