Double chiral logs in the $\pi \pi$ 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 $\pi \pi$ 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

References in corpus (1)

• Chiral Perturbation Theory

Cited by in corpus (12)

• ππscattering
• Elastic $\pi \pi$ scattering to two loops
• Chiral Perturbation Theory Beyond One Loop
• Chiral expansions of the pi0 lifetime
• Scalar form factors of light mesons
• The nucleon axial-vector coupling beyond one loop
• Charged Pion Polarizabilities to two Loops
• Leading Logarithms in the Massive O(N) Nonlinear Sigma Model
• The Massive O(N) Non-linear Sigma Model at High Orders
• Breakdown of chiral expansion for parton distributions
• Leading logarithms for the nucleon mass
• A Symmetric Approach to the Massive Nonlinear Sigma Model