Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866917575526449152 |
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| author | Song, Yisheng |
| author_facet | Song, Yisheng |
| contents | In this paper, the analytic sufficient and necessary conditions are obtained for the CP conserving two-Higgs-doublet potential to be bounded from below by using the co-positivity of tensors. This is achieved by treating the potential as a quartic homogeneous polynomial about the moduli of the two Higgs doublet fields, where the 'angles' is described as the misalignment of the two doublets, then solving three minimum problems with respect to the misalignment. Finally, the analytic conditions are established with the help of the corresponding theory and methods of higher order tensors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11462 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential Song, Yisheng High Energy Physics - Phenomenology Mathematical Physics Optimization and Control 90C23 15A69 12-08 12D10 In this paper, the analytic sufficient and necessary conditions are obtained for the CP conserving two-Higgs-doublet potential to be bounded from below by using the co-positivity of tensors. This is achieved by treating the potential as a quartic homogeneous polynomial about the moduli of the two Higgs doublet fields, where the 'angles' is described as the misalignment of the two doublets, then solving three minimum problems with respect to the misalignment. Finally, the analytic conditions are established with the help of the corresponding theory and methods of higher order tensors. |
| title | Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential |
| topic | High Energy Physics - Phenomenology Mathematical Physics Optimization and Control 90C23 15A69 12-08 12D10 |
| url | https://arxiv.org/abs/2203.11462 |