Three-body resonances in the φ 4 theory
Abstract We study the properties of three-body resonances using a lattice complex scalar φ 4 theory with two scalars, with parameters chosen such that one heavy particle can decay into three light ones. We determine the two- and three-body spectra for several lattice volumes using variational techni...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)252 |
| _version_ | 1797779138433515520 |
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| author | Marco Garofalo Maxim Mai Fernando Romero-López Akaki Rusetsky Carsten Urbach |
| author_facet | Marco Garofalo Maxim Mai Fernando Romero-López Akaki Rusetsky Carsten Urbach |
| author_sort | Marco Garofalo |
| collection | DOAJ |
| description | Abstract We study the properties of three-body resonances using a lattice complex scalar φ 4 theory with two scalars, with parameters chosen such that one heavy particle can decay into three light ones. We determine the two- and three-body spectra for several lattice volumes using variational techniques, and then analyze them with two versions of the three-particle finite-volume formalism: the Relativistic Field Theory approach and the Finite-Volume Unitarity approach. We find that both methods provide an equivalent description of the energy levels, and we are able to fit the spectra using simple parametrizations of the scattering quantities. By solving the integral equations of the corresponding three-particle formalisms, we determine the pole position of the resonance in the complex energy plane and thereby its mass and width. We find very good agreement between the two methods at different values of the coupling of the theory. |
| first_indexed | 2024-03-12T23:27:27Z |
| format | Article |
| id | doaj.art-b298e6c9d1594ae7a9eaa51607200b81 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:27:27Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b298e6c9d1594ae7a9eaa51607200b812023-07-16T11:05:53ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023212910.1007/JHEP02(2023)252Three-body resonances in the φ 4 theoryMarco Garofalo0Maxim Mai1Fernando Romero-López2Akaki Rusetsky3Carsten Urbach4Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnCenter for Theoretical Physics, Massachusetts Institute of TechnologyHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnAbstract We study the properties of three-body resonances using a lattice complex scalar φ 4 theory with two scalars, with parameters chosen such that one heavy particle can decay into three light ones. We determine the two- and three-body spectra for several lattice volumes using variational techniques, and then analyze them with two versions of the three-particle finite-volume formalism: the Relativistic Field Theory approach and the Finite-Volume Unitarity approach. We find that both methods provide an equivalent description of the energy levels, and we are able to fit the spectra using simple parametrizations of the scattering quantities. By solving the integral equations of the corresponding three-particle formalisms, we determine the pole position of the resonance in the complex energy plane and thereby its mass and width. We find very good agreement between the two methods at different values of the coupling of the theory.https://doi.org/10.1007/JHEP02(2023)252Hadronic SpectroscopyStructure and InteractionsAlgorithms and Theoretical Developments |
| spellingShingle | Marco Garofalo Maxim Mai Fernando Romero-López Akaki Rusetsky Carsten Urbach Three-body resonances in the φ 4 theory Journal of High Energy Physics Hadronic Spectroscopy Structure and Interactions Algorithms and Theoretical Developments |
| title | Three-body resonances in the φ 4 theory |
| title_full | Three-body resonances in the φ 4 theory |
| title_fullStr | Three-body resonances in the φ 4 theory |
| title_full_unstemmed | Three-body resonances in the φ 4 theory |
| title_short | Three-body resonances in the φ 4 theory |
| title_sort | three body resonances in the φ 4 theory |
| topic | Hadronic Spectroscopy Structure and Interactions Algorithms and Theoretical Developments |
| url | https://doi.org/10.1007/JHEP02(2023)252 |
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