Chiral perturbation theory, dispersion relations and final state interactions in K -> pi pi

Abstract

We discuss the recent literature on the treatment of final state interactions in K -> pi pi. Various approaches are compared and particular emphasis is given to the possibility of combining dispersive methods with lattice input. Recent results on the dependence of various quantities on the quark masses at order p^6 in the chiral expansion are presented and the relevance for the lattice calculations is discussed.

Lattice2001(plenary) 10 pages, 6 figures, Invited plenary talk at Lattice 2001, Berlin, august 2001

References in corpus (16)

• ππscattering
• Roy equation analysis of pi pi scattering
• Weak transition matrix elements from finite-volume correlation functions
• Physical Results from Unphysical Simulations
• Strong Enhancement of ${\epsilon }^{\prime }/\epsilon$ Through Final State Interactions
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• ${\epsilon }^{\prime }/\epsilon$ at $O(p^4)$ in the Chiral Expansion
• New lattice approaches to the $\Delta I=1/2$ rule
• The Delta I = 1/2 Rule and B_K at O(p^4) in the Chiral Expansion
• Final State Interactions in Kaon Decays
• Analysis of ε'/εin the 1/N_c Expansion
• On the Determination of Nonleptonic Kaon Decays from $K\to \pi$ Matrix Elements
• New Analysis of the Delta I = 1/2 Rule in Kaon Decays and the B_K Parameter
• Dispersion relations and soft pion theorems for K -> pi pi
• Final State Interactions and epsilon'/epsilon: A Critical Look
• A note on the dispersive treatment of K -> pi pi with the kaon off-shell

Cited by in corpus (5)

• Multichannel one-to-two transition amplitudes in a finite volume
• On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory
• Lattice extraction of $K\to \pi \pi$ amplitudes to NLO in partially quenched and in full chiral perturbation theory
• Dispersive treatment of $K_S\to \gamma \gamma$ and $K_S\to \gamma {\ell }^{+}{\ell }^{-}$
• Status of Chiral-Scale Perturbation Theory