To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification
Abstract In this paper, we investigate the finiteness of the Higgs effective potential in an SU( N $$ \mathcal{N} $$ ) Gauge-Higgs Unification (GHU) model defined on M4 × S 1. We obtain the Higgs effective potential at the two-loop level and find that it is finite. We also discuss that the Higgs eff...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2020)193 |
| _version_ | 1819105452248530944 |
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| author | Junji Hisano Yutaro Shoji Atsuyuki Yamada |
| author_facet | Junji Hisano Yutaro Shoji Atsuyuki Yamada |
| author_sort | Junji Hisano |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the finiteness of the Higgs effective potential in an SU( N $$ \mathcal{N} $$ ) Gauge-Higgs Unification (GHU) model defined on M4 × S 1. We obtain the Higgs effective potential at the two-loop level and find that it is finite. We also discuss that the Higgs effective potential is generically divergent for three- or higher-loop levels. As an example, we consider an SU( N $$ \mathcal{N} $$ ) gauge theory on M5 × S 1, where the one-loop corrections to the four-Fermi operators are divergent. We find that the Higgs effective potential depends on their counter terms at the three-loop level. |
| first_indexed | 2024-12-22T02:22:28Z |
| format | Article |
| id | doaj.art-c84b02dc6c4f40348acab76dadc7e6d6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T02:22:28Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c84b02dc6c4f40348acab76dadc7e6d62022-12-21T18:42:06ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020211910.1007/JHEP02(2020)193To be, or not to be finite? The Higgs potential in Gauge-Higgs UnificationJunji Hisano0Yutaro Shoji1Atsuyuki Yamada2Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya UniversityKobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya UniversityDepartment of Physics, Nagoya UniversityAbstract In this paper, we investigate the finiteness of the Higgs effective potential in an SU( N $$ \mathcal{N} $$ ) Gauge-Higgs Unification (GHU) model defined on M4 × S 1. We obtain the Higgs effective potential at the two-loop level and find that it is finite. We also discuss that the Higgs effective potential is generically divergent for three- or higher-loop levels. As an example, we consider an SU( N $$ \mathcal{N} $$ ) gauge theory on M5 × S 1, where the one-loop corrections to the four-Fermi operators are divergent. We find that the Higgs effective potential depends on their counter terms at the three-loop level.http://link.springer.com/article/10.1007/JHEP02(2020)193Phenomenology of Field Theories in Higher Dimensions |
| spellingShingle | Junji Hisano Yutaro Shoji Atsuyuki Yamada To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification Journal of High Energy Physics Phenomenology of Field Theories in Higher Dimensions |
| title | To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification |
| title_full | To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification |
| title_fullStr | To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification |
| title_full_unstemmed | To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification |
| title_short | To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification |
| title_sort | to be or not to be finite the higgs potential in gauge higgs unification |
| topic | Phenomenology of Field Theories in Higher Dimensions |
| url | http://link.springer.com/article/10.1007/JHEP02(2020)193 |
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