Application of chiral perturbation theory toK→2πdecays
- 1 November 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 32 (9), 2343-2347
- https://doi.org/10.1103/physrevd.32.2343
Abstract
Chiral perturbation theory is applied to the decay K→2π. It is shown that, to quadratic order in meson masses, the amplitude for K→2π can be written in terms of the unphysical amplitudes K→π and K→0, where 0 is the vacuum. One may then hope to calculate these two simpler amplitudes with lattice Monte Carlo techniques, and thereby gain understanding of the ΔI=1/2 rule in K decay. The reason for the presence of the K→0 amplitude is explained: it serves to cancel off unwanted renormalization contributions to K→π. We make a rough test of the practicability of these ideas in Monte Carlo studies. We also describe a method for evaluating meson decay constants which does not require a determination of the quark masses.Keywords
This publication has 10 references indexed in Scilit:
- Weak interactions on the latticeNuclear Physics B, 1984
- Calculation of Weak Transitions in Lattice QCDPhysical Review Letters, 1984
- Force between static quarksPhysical Review D, 1984
- Numerical estiamtes for the spectrum of quantum chromodynamicsPhysical Review D, 1983
- Computation of the relation between the quark masses in lattice gauge theories and on the continuumPhysics Letters B, 1982
- Analysis ofΔS=1nonleptonic weak decays and theΔI=12rulePhysical Review D, 1980
- Phenomenological LagrangiansPhysica A: Statistical Mechanics and its Applications, 1979
- Octet enhancement of non-leptonic weak interactions in asymptotically free gauge theoriesPhysics Letters B, 1974
- Rule for Nonleptonic Decays in Asymptotically Free Field TheoriesPhysical Review Letters, 1974
- Transformation of Muons into ElectronsPhysical Review Letters, 1959