Forward dispersion relations and Roy equations in pi-pi scattering

Abstract

We review results of an analysis of pipi interactions in S, P and D waves for two-pion effective mass from threshold to about 1.4 GeV. In particular we show a recent improvement of this analysis above the K anti-K threshold using more data for phase shifts and including the S0 wave inelasticity from pipi -> K anti-K. In addition, we have improved the fit to the f2(1270) resonance and used a more flexible P wave parametrization above the K anti-K threshold and included an estimation of the D2 wave inelasticity. The better accuracy thus achieved also required a refinement of the Regge analysis above 1.42 GeV. We have checked that the pipi scattering amplitudes obtained in this approach satisfy remarkably well forward dispersion relations and Roy's equations.

6 pages, invited talk to the IV International Conference on Quarks and Nuclear Physics QNP06, Madrid 5th-10th June 2006

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Roy equation analysis of pi pi scattering
• The pion-pion scattering amplitude
• Precision Determination of the Pion Form Factor and Calculation of the Muon $g-2$
• Separation of S- wave pseudoscalar and pseudovector amplitudes in pi^- p---> pi^+ pi^- n reaction on polarized target
• Elimination of ambiguities in pion-pion phase shifts using crossing symmetry
• Regge analysis of pion-pion (and pion-kaon) scattering for energy s^{1/2}>1.4 GeV
• The pion-pion scattering amplitude. II: Improved analysis above $\bar{K}K$ threshold

Cited by in corpus (1)

• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations