1994/10/17 by B. Ananthanarayan, D. Toublan, G. Wanders · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevd.51.1093
published as Phys.Rev. D51 (1995) 1093-1100 · 26 pages using LaTeX and math.sty (appended at the end), 5 figures, 4 .eps files and 1 .ps file, tared, compressed and uuencoded (also available on request if there is a problem from [email protected]) Universite de Lausanne, Theory preprint, UNIL-TP-4/94
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 π0-π0 S- and D-wave amplitudes in the unphysical interval 0≤ s≤ 4mπ2. 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 π0-π0 S- and D-waves are strongly correlated by a set of constraints.