Three-body resonances in the φ4 theory
Abstract We study the properties of three-body resonances using a lattice complex scalar φ4 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 lat...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/148373 |
| _version_ | 1811083582304681984 |
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| author | Garofalo, Marco Mai, Maxim Romero-López, Fernando Rusetsky, Akaki Urbach, Carsten |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Garofalo, Marco Mai, Maxim Romero-López, Fernando Rusetsky, Akaki Urbach, Carsten |
| author_sort | Garofalo, Marco |
| collection | MIT |
| description | Abstract
We study the properties of three-body resonances using a lattice complex scalar φ4 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 | 2024-09-23T12:35:22Z |
| format | Article |
| id | mit-1721.1/148373 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:35:22Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1483732024-01-12T19:49:02Z Three-body resonances in the φ4 theory Garofalo, Marco Mai, Maxim Romero-López, Fernando Rusetsky, Akaki Urbach, Carsten Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We study the properties of three-body resonances using a lattice complex scalar φ4 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. 2023-03-06T18:24:51Z 2023-03-06T18:24:51Z 2023-02-27 2023-03-05T04:08:29Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/148373 Journal of High Energy Physics. 2023 Feb 27;2023(2):252 PUBLISHER_CC en https://doi.org/10.1007/JHEP02(2023)252 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Garofalo, Marco Mai, Maxim Romero-López, Fernando Rusetsky, Akaki Urbach, Carsten Three-body resonances in the φ4 theory |
| title | Three-body resonances in the φ4 theory |
| title_full | Three-body resonances in the φ4 theory |
| title_fullStr | Three-body resonances in the φ4 theory |
| title_full_unstemmed | Three-body resonances in the φ4 theory |
| title_short | Three-body resonances in the φ4 theory |
| title_sort | three body resonances in the φ4 theory |
| url | https://hdl.handle.net/1721.1/148373 |
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