Gauge-Higgs models from nilmanifolds
We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to masses for the zero-modes, proportional to th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-06-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322002313 |
| _version_ | 1818474831916564480 |
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| author | Aldo Deandrea Fabio Dogliotti Dimitrios Tsimpis |
| author_facet | Aldo Deandrea Fabio Dogliotti Dimitrios Tsimpis |
| author_sort | Aldo Deandrea |
| collection | DOAJ |
| description | We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to masses for the zero-modes, proportional to the twist parameter of the nilmanifold. We study the simple example of an SU(3) model broken by a non-trivial vacuum of the scalar potential which generates three mass scales, two being at tree level, and the third one at loop level. We point out the relevance of general twisted geometries for model building and in particular for gauge-Higgs type models, as the twist generates tree-level mass hierarchies useful for grand unification and for the Higgs sector in electroweak symmetry breaking. |
| first_indexed | 2024-04-14T04:41:30Z |
| format | Article |
| id | doaj.art-2d156a7262b947fababc10cd94ea87d5 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-14T04:41:30Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-2d156a7262b947fababc10cd94ea87d52022-12-22T02:11:37ZengElsevierPhysics Letters B0370-26932022-06-01829137097Gauge-Higgs models from nilmanifoldsAldo Deandrea0Fabio Dogliotti1Dimitrios Tsimpis2Corresponding author.; Université de Lyon, Université Lyon 1, Villeurbanne CNRS/IN2P3, UMR5822, Institut de Physique des 2 Infinis de Lyon, F-69622 Lyon, FranceUniversité de Lyon, Université Lyon 1, Villeurbanne CNRS/IN2P3, UMR5822, Institut de Physique des 2 Infinis de Lyon, F-69622 Lyon, FranceUniversité de Lyon, Université Lyon 1, Villeurbanne CNRS/IN2P3, UMR5822, Institut de Physique des 2 Infinis de Lyon, F-69622 Lyon, FranceWe consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to masses for the zero-modes, proportional to the twist parameter of the nilmanifold. We study the simple example of an SU(3) model broken by a non-trivial vacuum of the scalar potential which generates three mass scales, two being at tree level, and the third one at loop level. We point out the relevance of general twisted geometries for model building and in particular for gauge-Higgs type models, as the twist generates tree-level mass hierarchies useful for grand unification and for the Higgs sector in electroweak symmetry breaking.http://www.sciencedirect.com/science/article/pii/S0370269322002313 |
| spellingShingle | Aldo Deandrea Fabio Dogliotti Dimitrios Tsimpis Gauge-Higgs models from nilmanifolds Physics Letters B |
| title | Gauge-Higgs models from nilmanifolds |
| title_full | Gauge-Higgs models from nilmanifolds |
| title_fullStr | Gauge-Higgs models from nilmanifolds |
| title_full_unstemmed | Gauge-Higgs models from nilmanifolds |
| title_short | Gauge-Higgs models from nilmanifolds |
| title_sort | gauge higgs models from nilmanifolds |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322002313 |
| work_keys_str_mv | AT aldodeandrea gaugehiggsmodelsfromnilmanifolds AT fabiodogliotti gaugehiggsmodelsfromnilmanifolds AT dimitriostsimpis gaugehiggsmodelsfromnilmanifolds |