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Weak transition matrix elements from finite-volume correlation functions

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arxiv hep-lat/0003023 v1 pith:5JBJ7CHB submitted 2000-03-28 hep-lat hep-ph

Weak transition matrix elements from finite-volume correlation functions

classification hep-lat hep-ph
keywords correlationfinite-volumefunctionsmatrixtransitionaccessibleamplitudeanalytic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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