$K\to \pi \pi$ 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.

arXiv comment11 pages, Section 3 expanded and made more structured. Comments on lattice and relation to FSI added

References in corpus (15)

• Asymptotic expansion of Feynman integrals near threshold
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• The Mesonic Chiral Lagrangian of Order $p^6$
• Strong Enhancement of ${\epsilon }^{\prime }/\epsilon$ Through Final State Interactions
• Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory
• epsilon'/epsilon in the Chiral Limit
• Final State Interactions in Kaon Decays
• Obtaining K to pi pi from Off-Shell K to pi Amplitudes
• $K\to 3\pi$ Decays in Chiral Perturbation Theory
• The $\Delta I=1/2$ Selection Rule
• SU(2) chiral perturbation theory for Kl3 decay amplitudes
• Analysis of the pion-kaon sigma-term and related topics
• Dispersion relations and soft pion theorems for K -> pi pi
• Kaon physics: a lattice perspective
• Chiral perturbation theory, K to pi pi decays and 2+1 flavor domain wall QCD

Cited by in corpus (15)

• Towards a theory of hadron resonances
• Emerging understanding of the ΔI = 1/2 Rule from Lattice QCD
• Hard Pion Chiral Perturbation Theory for $B\to \pi$ and $D\to \pi$ Formfactors
• Vector Formfactors in Hard Pion Chiral Perturbation Theory
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• On the factorization of chiral logarithms in the pion form factors
• Kaon Thresholds and Two-Flavor Chiral Expansions for Hyperons
• Possible lattice approach to B to D pi (K) matrix elements
• Study of Kaon Decay to Two Pions
• Chiral perturbation theory in the meson sector
• Phenomenology from the Lattice
• Chiral Symmetry and Charmonium Decays to Two Pseudoscalars
• Lattice understanding of the Delta I=1/2 rule & some implications