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

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

1994-10-17

arxiv.org/abs/hep-ph/9410302v1

Phys.Rev. D51 (1995) 1093-1100

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages using LaTeX and math.sty (appended at the end), 5 figures, 4 .eps files and 1 .ps file, tared, compressed and uuencod

Scientific paper

10.1103/PhysRevD.51.1093

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 $\pi^0$-$\pi^0$ $S$- and $D$-wave amplitudes in the unphysical interval $0\leq s\leq 4m_\pi^2$. 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 $\pi^0$-$\pi^0$ $S$- and $D$-waves are strongly correlated by a set of constraints.

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