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arXiv · hep-ph/9410302

Consistency of the Chiral Pion-Pion Scattering Amplitudes with Axiomatic Constraints

B. Ananthanarayan·D. Toublan·G. Wanders
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Abstract

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the $π^0$-$π^0$ $S$- and $D$-wave amplitudes in the unphysical interval $0\leq s\leq 4m_π^2$. These constraints impose significant lower bounds for a linear combination of coupling constants specifying the second order chiral Lagrangian. The accepted value of this combination is consistent with these bounds. The $π^0$-$π^0$ $S$- and $D$-waves are strongly correlated by a set of constraints.

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B. Ananthanarayan, D. Toublan, G. Wanders. 1994-10-17. Consistency of the Chiral Pion-Pion Scattering Amplitudes with Axiomatic Constraints. https://doi.org/10.1103/physrevd.51.1093

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