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

por Jose Ramon Pelaez (Universidad Complutense de Madrid)

jueves 3 feb. 2005 15:00 → 16:00 Europe/Madrid

Sala Seminarios IFIC (Edf. Institutos de Investigación)

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 by Colangelo Gasssr and Leutwyler, do not satisfy these constraints by several standard deviations, in addition to other sum rules that were discussed in a previous talk. Finally, we provide a consistent pion-pion amplitude by improving a global fit to data with these dispersion relations.