Dispersive πK → πK and ππ → KK amplitudes from scattering data, threshold parameters, and the lightest strange resonance κ or K0∗ (700)

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We discuss the simultaneous dispersive analyses of nK -> nK and nn -> KK over bar scattering data and the K/K0*(700) resonance. The unprecedented statistics of present and future hadron experiments, modern lattice QCD calculations, and the wealth of new states and decays require such precise and model-independent analyses to describe final state interactions. We review the existing and often conflicting data and explain in detail the derivation of the relevant dispersion relations, maximizing their applicability range. Next, we review and extend the caveats on some data, showing their inconsistency with dispersion relations. Our main result is the derivation and compilation of precise amplitude parameterizations constrained by several nK -> nK and nn -> KK over bar dispersion relations. These constrained parameterizations are easily implementable and provide the rigor and accuracy needed for modern experimental and phenomenological hadron physics. As applications, after reviewing their status and interest, we will provide new precise threshold and subthreshold parameters and review our dispersive determination of the controversial K/K0*(700) resonance and other light-strange resonances.
©2022 The Author(s). The authors would like to thank J. Ruiz de Elvira for many useful discussions. The authors would also like to thank B. Kubis, L. Leskovec and A. Pilloni for useful comments and conversations. We also thank I. Danilkin for several corrections. This project has received funding from the Spanish Ministerio de Ciencia e Innovacion grant PID2019-106080GB-C21 and the European Union's Horizon 2020 research and innovation program under grant agreement no. 824093 (STRONG2020). AR acknowledges the financial support of the U.S. Department of Energy contract DE-SC0018416 at the College of William & Mary.
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