CP-odd invariants for multi-Higgs models and applications with discrete symmetry

5th Symposium on Prospects in the Physics of Discrete Symmetries

De Medeiros Varzielas, Ivo^1

CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, Lisboa

1049, Portugal^1

关键词: Discrete symmetry;    Higgs field;    Higgs model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/873/1/012035/pdf
DOI  :  10.1088/1742-6596/873/1/012035

来源: IOP

【 摘 要 】

CP-odd invariants are useful for studying the CP properties of Lagrangians in any basis. We explain how to build basis invariants for the scalar sector, and how to distinguish CP-odd invariants from CP-even invariants. Up to a certain order, we use these methods to systematically build all the CP-odd invariants. The CP-odd invariants signal either explicit or spontaneous violation of CP. Making use of the CP-odd invariants, we determine the CP properties of potentials with 3 and with 6 Higgs fields arranged as triplets of specific discrete symmetries in the Δ(3n2) or Δ(6n2) series (inlcuding A4, S4, Δ(27) and Δ(54) as well as the cases for n > 3).