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arXiv · hep-ph/0310283

A new analysis of $πK$ scattering from Roy and Steiner type equations

P. Büttiker·S. Descotes-Genon·B. Moussallam
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Abstract

With the aim of generating new constraints on the OZI suppressed couplings of chiral perturbation theory a set of six equations of the Roy and Steiner type for the $S$- and $P$-waves of the $πK$ scattering amplitudes is derived. The range of validity and the multiplicity of the solutions are discussed. Precise numerical solutions are obtained in the range $E\lapprox 1$ GeV which make use as input, for the first time, of the most accurate experimental data available at $E > 1$ GeV for both $πK\toπK$ and $ππ\to K\bar{K}$ amplitudes. Our main result is the determination of a narrow allowed region for the two S-wave scattering lengths. Present experimental data below 1 GeV are found to be in generally poor agreement with our results. A set of threshold expansion parameters, as well as sub-threshold parameters are computed. For the latter, matching with the SU(3) chiral expansion at NLO is performed.

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P. Büttiker, S. Descotes-Genon, B. Moussallam. 2004-01-05. A new analysis of $πK$ scattering from Roy and Steiner type equations. https://doi.org/10.1140/epjc%2Fs2004-01591-1

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