$K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory

Abstract

We study the decays $K\to \pi \pi$ in one-loop two-flavour Chiral Perturbation Theory. We provide arguments why the calculation of the coefficient of the pionic chiral logarithm $\logm = M^2\log M^2$ is unique and then perform the calculation. As a check we perform the reduction of the known three-flavour result. The underlying arguments are expected to be valid for heavier particles and other processes as well.

11 pages, Section 3 expanded and made more structured. Comments on lattice and relation to FSI added

References in corpus (1)

• SU(2) chiral perturbation theory for Kl3 decay amplitudes

Cited by in corpus (7)

• Towards a theory of hadron resonances
• Hard Pion Chiral Perturbation Theory for $B\to \pi$ and $D\to \pi$ Formfactors
• Vector Formfactors in Hard Pion Chiral Perturbation Theory
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• On the factorization of chiral logarithms in the pion form factors
• Study of Kaon Decay to Two Pions
• Phenomenology from the Lattice