Weak transition matrix elements from finite-volume correlation functions
High Energy Physics - Lattice
2009-10-31 v1 High Energy Physics - Phenomenology
Abstract
The two-body decay rate of a weakly decaying particle (such as the kaon) is shown to be proportional to the square of a well-defined transition matrix element in finite volume. Contrary to the physical amplitude, the latter can be extracted from finite-volume correlation functions in euclidean space without analytic continuation. The K -> pi pi transitions and other non-leptonic decays thus become accessible to established numerical techniques in lattice QCD.
Cite
@article{arxiv.hep-lat/0003023,
title = {Weak transition matrix elements from finite-volume correlation functions},
author = {Laurent Lellouch and Martin Lüscher},
journal= {arXiv preprint arXiv:hep-lat/0003023},
year = {2009}
}
Comments
Plain TeX source, 19 pages, figures included