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.
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Received: 29 March 2000 / Accepted: 10 April 2000
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Lellouch, L., Lüscher, M. Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions. Commun. Math. Phys. 219, 31–44 (2001). https://doi.org/10.1007/s002200100410
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DOI: https://doi.org/10.1007/s002200100410