Three-particle Lellouch-Lüscher formalism in moving frames

Abstract A manifestly relativistic-invariant Lellouch-Lüscher formalism for the decays into three identical particles with no two-to-three transitions is proposed. Similarly to [1], the formalism is based on the use of the non-relativistic effective Lagrangians. Manifest Lorentz invariance is guaran...

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Published in:Journal of High Energy Physics
Main Authors: Fabian Müller, Jin-Yi Pang, Akaki Rusetsky, Jia-Jun Wu
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2023)214
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author Fabian Müller
Jin-Yi Pang
Akaki Rusetsky
Jia-Jun Wu
author_facet Fabian Müller
Jin-Yi Pang
Akaki Rusetsky
Jia-Jun Wu
author_sort Fabian Müller
collection DOAJ
container_title Journal of High Energy Physics
description Abstract A manifestly relativistic-invariant Lellouch-Lüscher formalism for the decays into three identical particles with no two-to-three transitions is proposed. Similarly to [1], the formalism is based on the use of the non-relativistic effective Lagrangians. Manifest Lorentz invariance is guaranteed, as in [2], by choosing the quantization axis along the total four-momentum of the three-particle system. A systematic inclusion of the higher-order derivative couplings, as well as higher partial waves is addressed.
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spelling doaj-art-e57a6e92d1654a0f85ef0dcd0fffdb572025-08-19T21:19:29ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023213610.1007/JHEP02(2023)214Three-particle Lellouch-Lüscher formalism in moving framesFabian Müller0Jin-Yi Pang1Akaki Rusetsky2Jia-Jun Wu3Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnCollege of Science, University of Shanghai for Science and TechnologyHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnSchool of Physical Sciences, University of Chinese Academy of SciencesAbstract A manifestly relativistic-invariant Lellouch-Lüscher formalism for the decays into three identical particles with no two-to-three transitions is proposed. Similarly to [1], the formalism is based on the use of the non-relativistic effective Lagrangians. Manifest Lorentz invariance is guaranteed, as in [2], by choosing the quantization axis along the total four-momentum of the three-particle system. A systematic inclusion of the higher-order derivative couplings, as well as higher partial waves is addressed.https://doi.org/10.1007/JHEP02(2023)214Hadronic Matrix Elements and Weak DecaysHadronic SpectroscopyStructure and InteractionsLattice QCD
spellingShingle Fabian Müller
Jin-Yi Pang
Akaki Rusetsky
Jia-Jun Wu
Three-particle Lellouch-Lüscher formalism in moving frames
Hadronic Matrix Elements and Weak Decays
Hadronic Spectroscopy
Structure and Interactions
Lattice QCD
title Three-particle Lellouch-Lüscher formalism in moving frames
title_full Three-particle Lellouch-Lüscher formalism in moving frames
title_fullStr Three-particle Lellouch-Lüscher formalism in moving frames
title_full_unstemmed Three-particle Lellouch-Lüscher formalism in moving frames
title_short Three-particle Lellouch-Lüscher formalism in moving frames
title_sort three particle lellouch luscher formalism in moving frames
topic Hadronic Matrix Elements and Weak Decays
Hadronic Spectroscopy
Structure and Interactions
Lattice QCD
url https://doi.org/10.1007/JHEP02(2023)214
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