The leading two loop counterterm in the nonleptonic weak sector of CHPT

Abstract

We calculate the leading divergences at NNLO for the octet part of the nonleptonic weak sector of chiral perturbation theory, using renormalization group methods. The role of counterterms which vanish at the equation of motion and their use to simplify the calculation is shown explicitly. The obtained countertem Lagrangian can be employed to calculate the chiral double log contributions of quantities in this sector, most notably the K --> pi pi amplitude. The double log contribution of the latter is discussed in a separate paper.

arXiv comment28 pages, 3 figures, uses axodraw

References in corpus (10)

• Quenched Chiral Logarithms
• Elastic $\pi \pi$ scattering to two loops
• Renormalization of chiral perturbation theory to order p^6
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Renormalization group equations for effective field theories
• Double Chiral Logs
• Quenched Chiral Perturbation Theory to one loop
• On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory
• $K\to \pi \pi$ matrix elements beyond the leading-order chiral expansion

Cited by in corpus (3)

• The Massive O(N) Non-linear Sigma Model at High Orders
• The chiral logs of the K -> pi pi amplitude
• Leading logarithms for mesons and nucleons