Scalar meson dynamics in Chiral Perturbation Theory

Abstract

A comparison of the linear sigma model (L$\sigma$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$\sigma$M dynamics. We conclude that more accurate values would be most useful either to falsify the L$\sigma$M or to show its capability to shed some light on the controversial scalar physics.

9 pages, REVTeX 4.0. Final version accepted for publication

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• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• Mapping the boundary of the first order finite temperature restoration of chiral symmetry in the m_pi-m_K--plane with a linear sigma model
• Classification of the scalar mesons: a strange pole expedition into charm and beauty territory
• On radiative np -> 1s + gamma transitions, induced by strong low-energy interactions,in kaonic atoms
• On isospin-breaking corrections to the energy level displacement of the ground state of kaonic hydrogen
• Linear Sigma Model predictions for V->Sgamma and S->Vgamma decays
• A consistent description of rho0 -> pi pi gamma decays including sigma(500) meson effects