Double chiral logs in the $ππ$ scattering amplitude

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pages, plain latex, no figures. One algebraic error in the expansion of $F_pi$ corrected. Consequent numerical changes are

Scientific paper

10.1016/0370-2693(95)01162-J

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 $\pi \pi$ scattering amplitude, where they
represent the potentially largest two loop contribution. It is shown that their
correction is reasonably small.

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