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We report on our recent results in the study of the chiral extrapolation ofthe phase-shifts in elastic pion-pion scattering, using both standard andunitarized ChPT to one and two loops. In the standard ChPT approach, limited tolow momenta, we study the S, P and D waves. Unitarization extends the analysisto energies of around 1 GeV, being compatible with standard ChPT at lowenergies for the S and P waves. We then compare with lattice results and find agood agreement of standard ChPT below p \sim 200 MeV for the I=2, J=0 and I=1,J=1 channels and up to p \sim 500 MeV for the I=2, J=2 channel. Unitarized ChPTimproves the agreement in the scalar and vector channels at higher energies. Wehave also performed a Montecarlo analysis to provide an estimation of theuncertainties.

Mass dependence of pion-pion phase shifts within standard and unitarized ChPT versus Lattice results