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Comparison of π K scattering in SU(3) chiral perturbation theory and dispersion relations

2000/12/31 by B. Ananthanarayan, P. Büttiker · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1007/s100520100629

published as Eur.Phys.J.C19:517-528,2001 · 20 pages, LaTeX2e; replaced with version to appear in European Physical Journal C; typographical errors removed, minor stylistic changes

openalex publication_date 2001/03/01 · arxiv created 2001/03/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We establish the framework for the comparison of πK 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.

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