Scalar meson dynamics in Chiral Perturbation Theory
A. Bramon, R. Escribano, J. L. L. Martinez
Abstract
A comparison of the linear sigma model (LσM) and Chiral Perturbation Theory (ChPT) predictions for pion and kaon dynamics is presented. Lowest and next-to-leading order terms in the ChPT amplitudes are reproduced if one restricts to scalar resonance exchange. Some low energy constants of the order p4 ChPT Lagrangian are fixed in terms of scalar meson masses. Present values of these low energy constants are compatible with the LσM dynamics. We conclude that more accurate values would be most useful either to falsify the LσM or to show its capability to shed some light on the controversial scalar physics.
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