Abstract
Abstract
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 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.
Publisher
Springer Science and Business Media LLC
Reference37 articles.
1. A.D. Sakharov, Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe, Pisma Zh. Eksp. Teor. Fiz. 5 (1967) 32 [INSPIRE].
2. N. Turok and J. Zadrozny, Electroweak baryogenesis in the two doublet model, Nucl. Phys. B 358 (1991) 471 [INSPIRE].
3. A. Cordero-Cid et al., CP violating scalar Dark Matter, JHEP 12 (2016) 014 [arXiv:1608.01673] [INSPIRE].
4. H.E. Logan, S. Moretti, D. Rojas-Ciofalo and M. Song, CP violation from charged Higgs bosons in the three Higgs doublet model, JHEP 07 (2021) 158 [arXiv:2012.08846] [INSPIRE].
5. G. Feinberg and S. Weinberg, On the phase factors in inversions, Nuovo Cim. 14 (1959) 571.
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