Consistency checks of pion-pion scattering data and chiral dispersive calculations

Details Consistency checks of pion-pion scattering data and chiral dispersive calculations Consistency checks of pion-pion scattering data and chiral dispersive calculations

2004-12-21

arxiv.org/abs/hep-ph/0412320v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented by F. J. Yndurain at ``Quark confinement and the Hadron Spectrum", Sardinia, Sept. 2004

Scientific paper

10.1063/1.1920932

We have evaluated forward dispersion relations for scattering amplitudes that follow from direct fits to several sets of pion-pion scattering experiments, together with the precise K decay results, and high to energy data. We find that some of the most commonly used experimental sets, as well as some recent theoretical analyses based on Roy equations, do not satisfy these constraints by several standard deviations. Finally, we provide a consistent pion-pion amplitude by improving a global fit to data with these dispersion relations.

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