A new analysis of $\pi K$ scattering from Roy and Steiner type equations

By P. Büttiker, S. Descotes-Genon, B. Moussallam. 2003

206 citations recorded by the source corpus.

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 $\pi K$ scattering amplitudes is derived. The range of validity and the multiplicity of the solutions are discussed. Precise numerical solutions are obtained in the range $E\lesssim 1$ GeV which make use as input, for the first time, of the most accurate experimental data available at $E\gtrsim 1$ GeV for both $\pi K\to\pi K$ and $\pi\pi\to K\overline{K}$ 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, a matching with the SU(3) chiral expansion at NLO is performed.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d2ed1b48f4bb6120456d63b83933e9b60423d1e8

Citations in the corpus

• Dispersion relation for hadronic light-by-light scattering: two-pion contributions (2017, unknown): “We will use this variant of the MO solution to estimate the sensitivity to the high-energy extrapolation of the phase shifts, referring for more details of its implementation to [55, 132].”
• The Status of Glueballs (2013, unknown): “Eππ (data [101, 92, 91]); curves for Eππ > 1 GeV are polynomial fits (figure from [154]).”