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arXiv · 1810.13396

Basis-invariant conditions for CP symmetry of order 4

Igor P. Ivanov·Celso C. Nishi·Joao P. Silva·Andreas Trautner
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Abstract

Three-Higgs-doublet models (3HDM) allow for a novel, physically distinct form of CP invariance: CP symmetry of order 4 (CP4). Due to the large basis change freedom in 3HDM, it is imperative to recognize the presence of a possibly hidden CP4 in a basis-invariant way. In the present work, we solve this problem and establish basis-invariant necessary and sufficient conditions for a 3HDM to possess a CP4 symmetry. We also derive a basis-invariant criterion to decide whether or not a CP4 symmetric 3HDM possesses any additional CP symmetry, as well as a criterion to decide whether or not CP4 is spontaneously broken.

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Igor P. Ivanov, Celso C. Nishi, Joao P. Silva, Andreas Trautner. 2018-10-31. Basis-invariant conditions for CP symmetry of order 4. https://doi.org/10.1103/physrevd.99.015039

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