Weak transition matrix elements from finite-volume correlation functions

Details Weak transition matrix elements from finite-volume correlation functions Weak transition matrix elements from finite-volume correlation functions

2000-03-28

arxiv.org/abs/hep-lat/0003023v1

Commun.Math.Phys. 219 (2001) 31-44

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX source, 19 pages, figures included

Scientific paper

10.1007/s002200100410

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.

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