Geometrical CP Violation
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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.
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Cited by 3 Pith papers
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Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
A spurion-field formalism uses scaling and non-overlapping symmetries to construct RGIs for bilinear operators in scalar potentials to all loops, demonstrated in non-SUSY models and the 2HDM.
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Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries
A spurion-field approach using scale-invariant directions and non-overlapping symmetries constructs all-loop RGIs for bilinear operators in multi-scalar potentials.
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Conditions for boundedness from below of a $\Delta(54)$-symmetric three-Higgs-doublet model
The paper conjectures and numerically verifies necessary and sufficient conditions for boundedness from below of the scalar potential in a Δ(54)-symmetric three-Higgs-doublet model using orbit space geometry.
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