Higgs–Higgs scattering and the (non-)existence of the Higgsonium
Abstract We study the Higgs–Higgs scattering process and the possible emergence of a Higgs–Higgs bound state (Higgsonium) in any Higgs potential with the vacuum expectation value and second derivative matching the corresponding values from the Standard Model (SM). From the tree-level Higgs–Higgs sca...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11883-3 |
| _version_ | 1797682623081873408 |
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| author | Vanamali Shastry Francesco Giacosa |
| author_facet | Vanamali Shastry Francesco Giacosa |
| author_sort | Vanamali Shastry |
| collection | DOAJ |
| description | Abstract We study the Higgs–Higgs scattering process and the possible emergence of a Higgs–Higgs bound state (Higgsonium) in any Higgs potential with the vacuum expectation value and second derivative matching the corresponding values from the Standard Model (SM). From the tree-level Higgs–Higgs scattering amplitude, we construct the unitarized amplitude using two different unitarization schemes (the well-known on-shell and N/D methods). We reproduce the known result that there is no Higgsonium state in the SM and, in addition, we determine the S-, D-, and G-wave SM scattering lengths, both at tree-level and upon unitarization. In doing so, we refine previous results by checking the convergence of the N/D approach. Next, we extend the calculation for non-SM potentials and investigate under which conditions a formation of a bound state close to the Higgs–Higgs threshold is possible. In this way, the assumption that no Higgsonium exist, imposes certain bounds on the values of the self-interaction parameters that complement those imposed by the vacuum stability condition. |
| first_indexed | 2024-03-12T00:02:29Z |
| format | Article |
| id | doaj.art-be83ea245b79449e9c70bb7dbf7e7c61 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T00:02:29Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-be83ea245b79449e9c70bb7dbf7e7c612023-09-17T11:24:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-08-0183811410.1140/epjc/s10052-023-11883-3Higgs–Higgs scattering and the (non-)existence of the HiggsoniumVanamali Shastry0Francesco Giacosa1Institute of Physics, Jan Kochanowski UniversityInstitute of Physics, Jan Kochanowski UniversityAbstract We study the Higgs–Higgs scattering process and the possible emergence of a Higgs–Higgs bound state (Higgsonium) in any Higgs potential with the vacuum expectation value and second derivative matching the corresponding values from the Standard Model (SM). From the tree-level Higgs–Higgs scattering amplitude, we construct the unitarized amplitude using two different unitarization schemes (the well-known on-shell and N/D methods). We reproduce the known result that there is no Higgsonium state in the SM and, in addition, we determine the S-, D-, and G-wave SM scattering lengths, both at tree-level and upon unitarization. In doing so, we refine previous results by checking the convergence of the N/D approach. Next, we extend the calculation for non-SM potentials and investigate under which conditions a formation of a bound state close to the Higgs–Higgs threshold is possible. In this way, the assumption that no Higgsonium exist, imposes certain bounds on the values of the self-interaction parameters that complement those imposed by the vacuum stability condition.https://doi.org/10.1140/epjc/s10052-023-11883-3 |
| spellingShingle | Vanamali Shastry Francesco Giacosa Higgs–Higgs scattering and the (non-)existence of the Higgsonium European Physical Journal C: Particles and Fields |
| title | Higgs–Higgs scattering and the (non-)existence of the Higgsonium |
| title_full | Higgs–Higgs scattering and the (non-)existence of the Higgsonium |
| title_fullStr | Higgs–Higgs scattering and the (non-)existence of the Higgsonium |
| title_full_unstemmed | Higgs–Higgs scattering and the (non-)existence of the Higgsonium |
| title_short | Higgs–Higgs scattering and the (non-)existence of the Higgsonium |
| title_sort | higgs higgs scattering and the non existence of the higgsonium |
| url | https://doi.org/10.1140/epjc/s10052-023-11883-3 |
| work_keys_str_mv | AT vanamalishastry higgshiggsscatteringandthenonexistenceofthehiggsonium AT francescogiacosa higgshiggsscatteringandthenonexistenceofthehiggsonium |