Kamiński, RPeláez Sagredo, José RamónYnduráin, F. J.2023-06-202023-06-202006-071550-799810.1103/PhysRevD.74.014001https://hdl.handle.net/20.500.14352/51727©2006 The American Physical Society. The work of F. J. Y. was supported in part by the Spanish DGI of the MEC under Contract No. FPA2003-04597. The research of J. R. P. is partially funded by Spanish CICYT Contracts No. FPA2005-02327 and BFM2003-00856, as well as Banco Santander/Complutense Contract No. PR27/ 05-13955-BSCH, and is part of the EU integrated infrastructure initiative HADRONPHYSICS PROJECT, under Contract No. RII3-CT-2004-506078. Finally, R. Kaminski thanks the Complutense University of Madrid for a grant under the Foreign Doctor Visit Program and the Departamento de Física Teórica II, where most of his research was carried out.We improve, in the energy region between the K̅K threshold and ~ 1.4 GeV, the energy-dependent phase shift analysis of π π scattering presented in a previous paper. For the S0 wave, we have included more data above the K̅K threshold and we have taken into account systematically the elasticity data on the reaction π π →K̅K. We here made a coupled channel fit. For the D0 wave, we have considered information on low energy parameters, and imposed a better fit to the f_2 resonance. For both waves the expressions we now find are substantially more precise than the previous ones. We also provide slightly improved D2 and P waves, including the estimated inelasticity for the first, and a more flexible parametrization between 1 and 1.42 GeV for the second. The accuracy of our amplitudes is now such that it requires a refinement of the Regge analysis, for^(1/2) ≥ 1.42 GeV, which we also carry out. We show that this more realistic input produces π π scattering amplitudes that satisfy better forward dispersion relations, particularly for π^0 π^0 scattering.engjournal articlehttp://dx.doi.org/10.1103/PhysRevD.74.014001http://journals.aps.orgopen access51-73Phase-shift analysisGev-cπ-P->π π&NFísica-Modelos matemáticosFísica matemática