Double chiral logs in the $\ddot{I}€\ddot{I}€$ scattering amplitude

Abstract

By using the Renormalization Group Equations in Chiral Perturbation Theory, one can calculate the double chiral logs that appear at two loops in any matrix element. We calculate them in the $\ddot{I}€\ddot{I}€$ scattering amplitude, where they represent the potentially largest two loop contribution. It is shown that their correction is reasonably small.

12 pages, plain latex, no figures. One algebraic error in the expansion of $F_{p}i$ corrected. Consequent numerical changes are minute. Text unchanged