Multiple-channel generalization of Lellouch-Luscher formula

By M. Hansen, Stephen R. Sharpe. 2012

241 citations recorded by the source corpus.

nite volume quantization condition to multiple two-particle channels. We give fully explicit results for the case of two channels, including a form of the generalized Lellouch-Luscher formula expressed in terms of derivatives of the energies of nite volume states with respect to the box size. Our results hold for arbitrary total momentum and for degenerate or non-degenerate particles.

Subfields: Nuclear and High Energy Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c74632835d8e41cc9acef31425e59b4f28ffa96c

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Citations in the corpus

Scattering processes and resonances from lattice QCD (2017, methodology): “We will illustrate this in the simplest case of two identical spinless particles – the extension to cases of unequal masses and particles having non-zero spin can be found in the literature (Briceno, 2014; Briceno and Davoudi, 2013a; Briceno and Hansen, 2016; Hansen and Sharpe, 2012).”
FLAG Review 2019 (2019, unknown): “While field-theory procedures to take resonance effects into account are available [300–302, 597–602], they have not yet been implemented in the existing preliminary computations, which therefore suffer from uncontrolled systematic errors in calculations of weak decay form factors into unstable vect”
Opportunities in Flavour Physics at the HL-LHC and HE-LHC (2018, methodology): “On a very long time-scale, direct lattice calculations might be able to predict the SM values of x and y by building on the methods described in [221].”
Heavy-quark QCD exotica (2016, background): “States with finite widths like exotics require a lattice technology that was originally developed for elastic scattering [306] and has been extended to multiparticle states [307], but has not yet been as well developed, particularly for heavy-quark states.”
Implications of LHCb measurements and future prospects - eScholarship (2013, methodology): “[500], a first step towards developing a complete method has been taken, in which the problem has been solved in principle for any number of two-particle channels, assuming that the scattering is dominantly S-wave.”