Precise analysis of pion-pion scattering data from Roy equations and forward dispersion relations

Details Precise analysis of pion-pion scattering data from Roy equations and forward dispersion relations Precise analysis of pion-pion scattering data from Roy equations and forward dispersion relations

2008-04-16

arxiv.org/abs/0804.2632v1

AIPConf.Proc.1030:257-262,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, two figures. To appear in the proceedings of the Workshop on Scalar Mesons and Related Topics, Lisbon, Portugal, 11-1

Scientific paper

10.1063/1.2973509

We review our recent analysis of pion-pion scattering data in terms of Roy equations and Forward Dispersion Relations, and present some preliminary results in terms of a new set of once-subtracted coupled equations for partial waves. The first analysis consists of independent fits to the different pion-pion channels that satisfies rather well the dispersive representation. In the second analysis we constrain the fit with the dispersion relations. The latter provides a very precise and model independent description of data using just analyticity, causality and crossing.

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