Strange resonance poles from $K\pi$ scattering below 1.8 GeV

Abstract

In this work we present a determination of the mass, width and coupling of the resonances that appear in kaon-pion scattering below 1.8 GeV. These are: the much debated scalar $\kappa$-meson, nowdays known as $K_0^{\ast }(800)$, the scalar $K_0^{\ast }(1430)$, the $K^{\ast }(892)$ and $K_1^{\ast }(1410)$ vectors, the spin-two $K_2^{\ast }(1430)$ as well as the spin-three $K_3^{\ast }(1780)$. The parameters will be determined from the pole associated to each resonance by means of an analytic continuation of the $K\pi$ scattering amplitudes obtained in a recent and precise data analysis constrained with dispersion relations, which were not well satisfied in previous analyses. This analytic continuation will be performed by means of Padé approximants, thus avoiding a particular model for the pole parameterization. We also pay particular attention to the evaluation of uncertainties.

13 pages, 12 figures. Accepted version to appear in Eur. Phys. J. C. Clarifications and references added, minor typos corrected

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• Study for a model-independent pole determination of overlapping resonances
• Light-Cone Sum Rules for $S$-wave $B\to K\pi$ Form Factors
• The pion-kaon scattering amplitude and the $K^0(700)$ and $K^{\ast }(892)$ resonances at finite temperature
• Dispersive determination of resonances from $\pi \pi$ scattering data
• Study of conventional and non-conventional scalar and vector mesons
• On the scalar $\pi K$ form factor beyond the elastic region