Finite Volume Effects in Weak Hadronic Decays

Abstract

In this talk we discuss finite-volume computations of two-body hadronic decays below the inelastic threshold (e.g. $K\to \pi \pi$ decays). In particular we show how the relation between finite-volume matrix elements and physical amplitudes, recently derived by Lellouch and Lüscher, can be extended to all elastic states under the inelastic threshold. We also provide a derivation of the Lüscher quantization condition directly in quantum field theory.

Talk presented by M. Testa at the Workshop on Lattice Hadron Physics (LHP2001), Cairns, Australia, 9-18 July 2001, 8 pages, requires espcrc2.sty (included)

References in corpus (2)

• Weak transition matrix elements from finite-volume correlation functions
• New lattice approaches to the $\Delta I=1/2$ rule

Cited by in corpus (10)

• Multichannel one-to-two transition amplitudes in a finite volume
• I=2 Pion Scattering Length from Two-Pion Wave Functions
• Hybrid meson decay from the lattice
• K^+ -> pi^+ pi^0 Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion
• 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
• Finite-Volume Two-Pion Amplitudes in the I=0 Channel
• Finite-Volume Partially-Quenched Two-Pion Amplitudes in the I=0 Channel
• Zero energy scattering calculation in Euclidean space
• Next to Leading Order Chiral Perturbation theory of $K\pi \to \pi$ and $K\to \pi \pi$ amplitudes