Conditions for boundedness from below of a $Δ(54)$-symmetric three-Higgs-doublet model
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910200953307136 |
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| author | Jurčiukonis, Darius Lavoura, Luís |
| author_facet | Jurčiukonis, Darius Lavoura, Luís |
| contents | We investigate the orbit space of the scalar potential of a $Δ(54)$-symmetric three-Higgs-doublet model. We find that, if the potential enjoys $CP$ invariance, then its three-dimensional orbit space is a polytope; if the potential has no $CP$ symmetry, then its four-dimensional orbit space has a boundary that is sometimes slightly concave, but seems never to be convex. Consequently, we conjecture necessary and sufficient conditions for the potential to be bounded from below; brute-force minimization of a large number of potentials affirms the accuracy of our conjecture. We list all possible charge-conserving and charge-breaking minima of the potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07651 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conditions for boundedness from below of a $Δ(54)$-symmetric three-Higgs-doublet model Jurčiukonis, Darius Lavoura, Luís High Energy Physics - Phenomenology We investigate the orbit space of the scalar potential of a $Δ(54)$-symmetric three-Higgs-doublet model. We find that, if the potential enjoys $CP$ invariance, then its three-dimensional orbit space is a polytope; if the potential has no $CP$ symmetry, then its four-dimensional orbit space has a boundary that is sometimes slightly concave, but seems never to be convex. Consequently, we conjecture necessary and sufficient conditions for the potential to be bounded from below; brute-force minimization of a large number of potentials affirms the accuracy of our conjecture. We list all possible charge-conserving and charge-breaking minima of the potential. |
| title | Conditions for boundedness from below of a $Δ(54)$-symmetric three-Higgs-doublet model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.07651 |