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We report on our determination of the values of the one and two loop lowenergy constants appearing in the Chiral Perturbation Theory calculation of thepi-pi scattering amplitude. For this we use a precise sum rule determination ofscattering lengths and slopes that appear in the effective range expansion. Inaddition we provide new sum rules and the values for these coefficients up tothird order in the expansion. Our results when using only the scatteringlengths and slopes of the S, P, D and F waves are consistent with previousdeterminations, but seem to require higher order contributions if they are toaccommodate the third order coefficients of the effective range expansion.

Determination of Chiral Perturbarion Theory low energy constants from a precise description of pi-pi scattering threshold parameters