TL;DR
This paper evaluates the effectiveness of various Pade Approximant sequences in unitarizing low energy pi-pi scattering amplitudes within the Linear Sigma Model, highlighting the superior performance of diagonal sequences in accurately reproducing the sigma pole.
Contribution
It provides a critical assessment of Pade Unitarizations, demonstrating the high accuracy of diagonal sequences in a specific physical model.
Findings
Diagonal sequences accurately reproduce the sigma pole
Other Pade sequences are less effective
Linear Sigma Model used for testing
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.
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