Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-05-21
Phys.Lett.B668:14-19,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 4 figs
Scientific paper
10.1016/j.physletb.2008.07.106
We present a critical analysis of Pade-based methods for the unitarization of low energy amplitudes. We show that the use of certain Pade Approximants to describe the resonance region may lead to inaccurate determinations. In particular, we find that in the Linear Sigma Model the unitarization of the low energy amplitude through the inverse amplitude method produces essentially incorrect results for the mass and width of the sigma. Alternative sequences of Pades are studied and we find that the diagonal sequences (i.e., [N/N]) have much better convergence properties.
Masjuan Pere
Sanz-Cillero Juan Jose
Virto Javier
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