Kamiński, RobertPeláez Sagredo, José RamónYndurain, F.J.2023-06-202023-06-202007-031. J. R. Peláez, F. J. Ynduráin, Phys. Rev. D71, (2005) 074016. 2. R. Kamínski,J. R. Peláez, F. J. Ynduráin, Phys. Rev. D74, (2006) 014001 and Erratum Phys. Rev. D74 (2006) 079903. 3. B. Hyams, et al., Nucl. Phys. B64, (1073) 134. Estabrooks, P., and Martin, A. D., Nucl. Physics, B79, (1974) 301. 4. G. Grayer, et al., Nucl. Phys. B75, (1974) 189. 5. R. Kamínski, L. Lésniak, K. Rybicki, Z. Phys. C74, (1997) 79 (1997) and Eur. Phys. J. direct C4, (2002) 4. 6. B. Hyams, et al., Nucl. Phys. B100, (1975) 205. 7. ππ → K̅K scattering: W. Wetzel et al., Nucl. Phys. B115, (1976) 208; D. Cohen et al., Phys. Rev. D22, (1980) 2595; E. Etkin et al., Phys. Rev. D25, (1982) 1786. 8. S. D. Protopopescu, et al., Phys Rev. D7, (1973) 1279. 9. Eidelman, S., et al., Phys. Letters B592, 1 (2004). 10. J. R. Pelaez and F. J. Yndurain, Phys. Rev. D 69, 114001 (2004). 11. J. F. de Trocóniz, F. J. Ynduráin, Phys Rev. D65, (2002) 093001; Phys Rev. D71, (2005) 073008. 12. S. M. Roy, Phys. Lett. B 36, 353 (1971). 13. B. Ananthanarayan, G. Colangelo, J. Gasser and H. Leutwyler, Phys. Rept. 353, 207 (2001). 14. R. Kamínski, L. Lésniak, B. Loiseau, Phys. Lett. B 551, (2003) 241.1434-600110.1140/epja/i2007-10006-6https://hdl.handle.net/20.500.14352/51721©Springer. International Conference on Quarks and Nuclear Physics (4.2006. Madrid).We first review the results of an analysis of π π interactions in S, P and D waves for the two-pion effective mass from threshold to about 1.4GeV. In particular, we show a recent improvement of this analysis above the KK̅ threshold using more data for phase shifts and including the S0-wave inelasticity from π π-> KK̅ . In addition, we have improved the fit to the f_(2)(1270)resonance and used a more flexible P-wave parametrization above the KK̅ threshold and included an estimation of the D_2 wave inelasticity. The better accuracy thus achieved also required a refinement of the Regge analysis above 1.42GeV. Finally, in this work we check that the pi pi scattering amplitudes obtained in this approach satisfy remarkably well forward dispersion relations and Roy's equations.engjournal articlehttp://dx.doi.org/10.1140/epja/i2007-10006-6http://link.springer.comhttp://arxiv.org/abs/hep-ph/0610315open access51-73Phase-shift analysisGev-cAmplitude Analysisπ-π>π-π &NFísica-Modelos matemáticosFísica matemática