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arXiv · hep-ph/0312338

Scalar meson dynamics in Chiral Perturbation Theory

A. Bramon·R. Escribano·J. L. L. Martinez
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Abstract

A comparison of the linear sigma model (L$σ$M) 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 $p^4$ ChPT Lagrangian are fixed in terms of scalar meson masses. Present values of these low energy constants are compatible with the L$σ$M dynamics. We conclude that more accurate values would be most useful either to falsify the L$σ$M or to show its capability to shed some light on the controversial scalar physics.

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A. Bramon, R. Escribano, J. L. L. Martinez. 2004-04-14. Scalar meson dynamics in Chiral Perturbation Theory. https://doi.org/10.1103/physrevd.69.074008

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