Computable conditions for order-2 $CP$ symmetry in NHDM potentials
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| Format: | Preprint |
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2024
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| _version_ | 1866917751283515392 |
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| author | Plantey, R. Solberg, M. Aa. |
| author_facet | Plantey, R. Solberg, M. Aa. |
| contents | We derive necessary and sufficient conditions for order-2 $CP$ ($CP2$) symmetry in $N$-Higgs-doublet potentials for $N>2$. The conditions, which are formulated as relations between vectors that transform under the adjoint representation of $\mathsf{SU}(N)$ under a change of doublet basis, are representation theoretical in nature. Making use of Lie algebra and representation theory we devise an efficient, computable algorithm which may be applied to decide whether or not a given numerical potential is $CP2$ invariant. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_02004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computable conditions for order-2 $CP$ symmetry in NHDM potentials Plantey, R. Solberg, M. Aa. High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics We derive necessary and sufficient conditions for order-2 $CP$ ($CP2$) symmetry in $N$-Higgs-doublet potentials for $N>2$. The conditions, which are formulated as relations between vectors that transform under the adjoint representation of $\mathsf{SU}(N)$ under a change of doublet basis, are representation theoretical in nature. Making use of Lie algebra and representation theory we devise an efficient, computable algorithm which may be applied to decide whether or not a given numerical potential is $CP2$ invariant. |
| title | Computable conditions for order-2 $CP$ symmetry in NHDM potentials |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2404.02004 |