Comparison of $\pi K$ scattering in $SU(3)$ chiral perturbation theory and dispersion relations

B. Ananthanarayan; P. Büttiker

doi:doi:10.1007/s100520100629

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2019 Impact factor 4.389

Particles and Fields

Eur. Phys. J. C 19, 517-528
DOI: 10.1007/s100520100629

Comparison of $\pi K$ scattering in SU(3) chiral perturbation theory and dispersion relations

B. Ananthanarayan¹ and P. Büttiker²

¹ Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India
² Institut für Kernphysik, Forschungszentrum Jülich, 52425 Jülich, Germany

(Received: 6 December 2000 / Revised version: 13 February 2001 / Published online: 23 March 2001 -© Springer-Verlag 2001)

Abstract
We establish the framework for the comparison of $\pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with dispersion relations on hyperbolic curves. This allows for predictions for some combinations of low energy constants appearing in higher order calculations of chiral perturbation theory. Using a simple parametrization for the lowest partial waves, first estimates for some combinations are presented.