2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/46184An explicitly crossing-symmetric decomposition of the pion-pion scattering amplitudes into low- and high-energy components is established. The high-energy components are entirely determined by absorptive parts at high energies. With the exception of the two leading-order parameters, all the parameters appearing in the one- and two-loop chiral amplitudes are determined by the high-energy components of the exact amplitudes.14 pages plain latex, 2 figures, uuencoded, tarred and compressedHigh Energy Physics - Phenomenologytext