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.
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.