The invariant space of multi-Higgs doublet models
Abstract In a model with more than one scalar doublet, the parameter space encloses both physical and unphysical information. Invariant theory provides a detailed description of the counting and characterization of the physical parameter space. The Hilbert series for the 3HDM is computed for the fir...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2021)146 |
| _version_ | 1818607122550620160 |
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| author | M. P. Bento |
| author_facet | M. P. Bento |
| author_sort | M. P. Bento |
| collection | DOAJ |
| description | Abstract In a model with more than one scalar doublet, the parameter space encloses both physical and unphysical information. Invariant theory provides a detailed description of the counting and characterization of the physical parameter space. The Hilbert series for the 3HDM is computed for the first time using partition analysis, in particular Omega calculus, giving rise to the possibility of a full description of its physical parameters. A rigorous counting of the physical parameters is given for the full class of models with N scalar doublets as well as a decomposition of the Lagrangian into irreducible representations of SU(N). For the first time we derive a basis-invariant technique for counting parameters in a Lagrangian with both basis-invariant redundancies and global symmetries. |
| first_indexed | 2024-12-16T14:21:44Z |
| format | Article |
| id | doaj.art-d9e34e85a9504977b63c73fa56669477 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T14:21:44Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d9e34e85a9504977b63c73fa566694772022-12-21T22:28:28ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021513310.1007/JHEP05(2021)146The invariant space of multi-Higgs doublet modelsM. P. Bento0CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de LisboaAbstract In a model with more than one scalar doublet, the parameter space encloses both physical and unphysical information. Invariant theory provides a detailed description of the counting and characterization of the physical parameter space. The Hilbert series for the 3HDM is computed for the first time using partition analysis, in particular Omega calculus, giving rise to the possibility of a full description of its physical parameters. A rigorous counting of the physical parameters is given for the full class of models with N scalar doublets as well as a decomposition of the Lagrangian into irreducible representations of SU(N). For the first time we derive a basis-invariant technique for counting parameters in a Lagrangian with both basis-invariant redundancies and global symmetries.https://doi.org/10.1007/JHEP05(2021)146Beyond Standard ModelGlobal SymmetriesDiscrete Symmetries |
| spellingShingle | M. P. Bento The invariant space of multi-Higgs doublet models Journal of High Energy Physics Beyond Standard Model Global Symmetries Discrete Symmetries |
| title | The invariant space of multi-Higgs doublet models |
| title_full | The invariant space of multi-Higgs doublet models |
| title_fullStr | The invariant space of multi-Higgs doublet models |
| title_full_unstemmed | The invariant space of multi-Higgs doublet models |
| title_short | The invariant space of multi-Higgs doublet models |
| title_sort | invariant space of multi higgs doublet models |
| topic | Beyond Standard Model Global Symmetries Discrete Symmetries |
| url | https://doi.org/10.1007/JHEP05(2021)146 |
| work_keys_str_mv | AT mpbento theinvariantspaceofmultihiggsdoubletmodels AT mpbento invariantspaceofmultihiggsdoubletmodels |