Abstract: It is well known that discrete symmetries such as CP are not uniquely defined in quantum field theory, and a certain freedom of their definition exists. In particular, the CP transformation can be of order 4, not 2, and still lead to acceptable phenomenology. I will present the minimal multi-Higgs model which implements this symmetry (CP4) without leading to accidental symmetries. This single assumption is surprisingly strong. It gives a well defined three-Higgs-doublet model with very specific Yukawa sectors and, after spontaneous breaking of CP4, can accommodate all fermion masses, mixing, and CP violation.
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This seminar is supported by Portuguese Funds through the CIDMA - Centre for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology ("FCT" - Fundação para a Ciência e a Tecnologia), within the project UID/MAT/04106/2013.