Weak-Transition Matrix Elements from Finite-Volume Correlation Functions

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...

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Detalles Bibliográficos
Autores principales: Lellouch, L P, Lüscher, Martin
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1007/s002200100410
http://cds.cern.ch/record/432699
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author Lellouch, L P
Lüscher, Martin
author_facet Lellouch, L P
Lüscher, Martin
author_sort Lellouch, L P
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4326992019-09-30T06:29:59Zdoi:10.1007/s002200100410http://cds.cern.ch/record/432699engLellouch, L PLüscher, MartinWeak-Transition Matrix Elements from Finite-Volume Correlation FunctionsParticle Physics - LatticeThe 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.hep-lat/0003023CERN-TH-2000-091CPT-3984LAPP-TH-788oai:cds.cern.ch:4326992000-03-28
spellingShingle Particle Physics - Lattice
Lellouch, L P
Lüscher, Martin
Weak-Transition Matrix Elements from Finite-Volume Correlation Functions
title Weak-Transition Matrix Elements from Finite-Volume Correlation Functions
title_full Weak-Transition Matrix Elements from Finite-Volume Correlation Functions
title_fullStr Weak-Transition Matrix Elements from Finite-Volume Correlation Functions
title_full_unstemmed Weak-Transition Matrix Elements from Finite-Volume Correlation Functions
title_short Weak-Transition Matrix Elements from Finite-Volume Correlation Functions
title_sort weak-transition matrix elements from finite-volume correlation functions
topic Particle Physics - Lattice
url https://dx.doi.org/10.1007/s002200100410
http://cds.cern.ch/record/432699
work_keys_str_mv AT lellouchlp weaktransitionmatrixelementsfromfinitevolumecorrelationfunctions
AT luschermartin weaktransitionmatrixelementsfromfinitevolumecorrelationfunctions

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