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

摘要

We have evaluated forward dispersion relations for scattering amplitudes that follow from direct fits to several sets of 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 amplitude by improving a global fit to data with these dispersion relations.