# Geometrical CP violation from non-renormalisable scalar potentials

@article{Varzielas2012GeometricalCV, title={Geometrical CP violation from non-renormalisable scalar potentials}, author={Ivo de Medeiros Varzielas and David Emmanuel-Costa and Philipp Leser}, journal={Physics Letters B}, year={2012}, volume={716}, pages={193-196} }

## 62 Citations

### Geometrical CP violation in multi-Higgs models

- Physics
- 2012

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…

### Geometrical CP violation in the N-Higgs-doublet model

- Physics
- 2013

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…

### Geometrical CP violation with a complete fermion sector

- Physics
- 2013

A bstractWe consider Δ(27) models featuring geometrical CP violation, and analyse several structures that can obtain the observed lepton masses and mixing. The leptonic structures considered are…

### 3HDM with $\Delta(27)$ symmetry and its phenomenological consequences

- Physics
- 2021

: We perform a thorough analysis of the 3-Higgs doublet model with a scalar potential invariant under a global ∆(27) discrete symmetry. The three scalar doublets are chosen to transform as a triplet…

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

- Physics
- 2013

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…

### Towards realistic models of quark masses with geometrical CP violation

- Physics
- 2013

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…

### Theory Review of Neutrino Models and CP Violation

- Physics
- 2019

Although the measurement of the reactor angle has killed tribimaximal lepton mixing, its descendants survive with charged lepton corrections, or in less constrained forms such as trimaximal mixing…

### Spontaneous CP violation in multi-Higgs potentials with triplets of ∆ ( 3 n 2 ) and ∆ ( 6 n 2 )

- Physics
- 2017

Motivated by discrete flavour symmetry models, we analyse Spontaneous CP Violation (SCPV) for potentials involving three or six Higgs fields (both electroweak doublets and singlets) which fall into…

### Spontaneous symmetry breaking in the S3-symmetric scalar sector

- Physics
- 2016

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…

## References

SHOWING 1-10 OF 39 REFERENCES

### Geometrical CP Violation

- Physics
- 2011

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…

### Perturbative Calculations of Symmetry Breaking

- Physics
- 1973

The one-loop contributions to fermion and pseudo-Goldstone masses are calculated for the general class of renormalizable guage theories. It is shown explicitly that when the masses are subject to any…

### Superweak gauge theory of CP-invariance violation

- Physics
- 1979

We describe an extension of the Weinberg-Salam model to the group SU(2) x U(1) x U(1) ' in which CP invariance is spontaneously broken and physical CP-invariance violation is mediated by the new…

### Spontaneous CP Nonconservation in Theories with More Than Four Quarks

- Physics
- 1980

It is shown that the requirements of spontaneous $\mathrm{CP}$ breaking and natural flavor conservation lead to a class of theories where $\mathrm{CP}$ nonconservation is due solely to Higgs…

### CP and other gauge symmetries in string theory.

- PhysicsPhysical review letters
- 1992

It is argued that {ital CP} is a gauge symmetry in string theory that cannot be explicitly broken either perturbatively or nonperturbatively, and is thus an example of a theory where all {theta} angles arise due to spontaneous {italCP} violation, and are in principle calculable.

### New manifolds for superstring compactification

- Mathematics
- 1985

We construct new manifolds with SU(3) holonomy that are candidate vacua for superstring theory and give a detailed explanation of the techniques involved. Some of these manifolds have a non-abelian…