Geometrical CP Violation

Understand

Spontaneous CP-violating phases that do not depend on the parameters of the Higgs sector - the so-called calculable phases - are investigated.

• The simplest realization is in models with 3 Higgs doublets, in which the scalar potential is invariant under non-Abelian symmetries.
• The non-Abelian discrete group Delta(54) is shown to lead to the known structure of calculable phases obtained with Delta(27).
• We investigate the possibily of accommodating the observed fermion masses and mixings.