# Geometrical CP violation in multi-Higgs models

@article{Varzielas2012GeometricalCV, title={Geometrical CP violation in multi-Higgs models}, author={Ivo de Medeiros Varzielas}, journal={Journal of High Energy Physics}, year={2012}, volume={2012}, pages={55} }

We introduce several methods to obtain calculable phases with geometrical values that are independent of arbitrary parameters in the scalar potential. These phases depend on the number of scalars and on the order of the discrete non-Abelian group considered. Using these methods we present new geometrical CP violation candidates with vacuum expectation values that must violate CP (the transformation that would make them CP conserving is not a symmetry of the potential). We also extend to non…

## 35 Citations

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Geometrical CP violation is a particular type of spontaneous CP violation in which the vacuum expectation values have phases which are calculable, i.e. stable against the variation of the free…

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We present a model for quark masses and mixing, featuring geometrical CP violation through a Δ(27) triplet. By employing a single U(1)F or ZN symmetry in addition to Δ(27), we forbid all terms in the…

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I propose the use of CP-odd invariants, which are independent of basis and valid for any choice of CP transformation, as a powerful approach to study CP in the presence of flavour symmetries. As…

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A bstractWe present a detailed study of the vacua of the S3-symmetric three-Higgs-doublet potential, specifying the region of parameters where these minimisation solutions occur. We work with a CP…

### Compatible abelian symmetries in N-Higgs-doublet models

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A bstractWe analyze the compatibility between abelian symmetries acting in two different sectors of a theory using the Smith Normal Form method. We focus on N-Higgs-doublet models (NHDMs) and on the…

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A bstractWe consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group Gf is combined with a generalized CP transformation. We derive conditions for consistently…

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