Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions |
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Authors: | Laurent Lellouch Martin Lüscher |
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Institution: | (1) LAPTH, Chemin de Bellevue, B.P.110, 74941 Annecy-Le-Vieux Cedex, France, FR;(2) CERN, Theory Division, 1211 Geneva 23, Switzerland, CH |
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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→ππ transitions and other non-leptonic decays thus become accessible to established numerical techniques in lattice QCD.
Received: 29 March 2000 / Accepted: 10 April 2000 |
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