Pade Unitarizations: A Critical Look

Abstract

We use the Linear Sigma Model to test the convergence of different sequences of Pade Approximants when used to unitarize the low energy pi-pi scattering amplitude. We find that, in this particular case, diagonal sequences reproduce the sigma pole with high accuracy, as opposed to other sequences that have been discussed extensively.

Comments: 4 pages, 4 figures. To appear in the proceedings of QCD'08