Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
By L. Lellouch, M. Luscher. 2000
330 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ba8d89041e84c6fb49fbeb8ad5f5cddfb6cd8c1d
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In Nuclear and High Energy Physics
- David M. Straub
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Citations in the corpus
- Present Status of Inclusive Rare B Decays (2002, neutral): “631) MeV (Bernhard, 2001; Lellouch, 2001, 2002; Lellouch and Lüscher, 2001; Sachrajda, 2001).”
- Flavor Physics in the Quark Sector (2009, methodology): “A different technique, based on the calculation of finite volume correlation functions, is described in [77], which might turn out to be more successful in the future.”
- Implications of LHCb measurements and future prospects - eScholarship (2013, result): “The former challenge has been solved in principle by the work of Lüscher [487, 488] and Lellouch and Lüscher [489] for the K → ππ case, while advances in lattice algorithms and computational power have allowed the numerical aspects of both challenges to be overcome.”
- Leading hadronic contribution to the muon magnetic moment from lattice QCD (2020, neutral): “This amplitude is determined by the phase-shift and by the timelike, pion, electromagnetic form factor, through a LellouchLüscher (LL) equation [78–80]”
- Scattering processes and resonances from lattice QCD (2017, background): “The development of the Lüscher approach presented in Section VII.”
- Kaon Decays in the Standard Model (2011, background): “Some progress in this direction has been achieved, relating the physical K → 2π amplitudes to the corresponding matrix 25 elements in a finite Euclidean volume, which are better suited for lattice simulations (Lellouch and Lüscher, 2001; Lin et al., 2001).”