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

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dc.creatorBüttiker, P.
dc.creatorDescotes-Genon, S.
dc.creatorMoussallam, B.
dc.date2003-10-24
dc.date2004-01-05
dc.date.accessioned2026-07-07T10:48:54Z
dc.date.available2026-07-07T10:48:54Z
dc.descriptionWith 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.
dc.description45 pages, 17 figures. v2: New title, minor corrections
dc.identifierhttps://arxiv.org/abs/hep-ph/0310283
dc.identifierhttp://arxiv.org/abs/hep-ph/0310283
dc.identifierEur.Phys.J.C33:409-432,2004
dc.identifierdoi:10.1140/epjc/s2004-01591-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184041
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA new analysis of $πK$ scattering from Roy and Steiner type equations
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