Fermion mixing with geometrical CP violation and its tests at the LHC

Understand

We review and clarify some cases of geometrical CP violation, the framework of spontaneous CP violation through complex phases with values that are independent of parameters of the potential.

• We present a flavour model based on Delta(27) featuring spontaneous CP violation, that can reproduce all quark masses and mixing data.
• The scalar sector of the model has exotic properties that can be tested at the LHC.