# CP4 miracle: shaping Yukawa sector with CP symmetry of order four

@article{Ferreira2017CP4MS, title={CP4 miracle: shaping Yukawa sector with CP symmetry of order four}, author={Pedro Miguel Martins Ferreira and Igor P. Ivanov and Enrique Jim{\'e}nez and Roman Pasechnik and Hugo Serodio}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-39} }

A bstractWe explore the phenomenology of a unique three-Higgs-doublet model based on the single CP symmetry of order 4 (CP4) without any accidental symmetries. The CP4 symmetry is imposed on the scalar potential and Yukawa interactions, strongly shaping both sectors of the model and leading to a very characteristic phenomenology. The scalar sector is analyzed in detail, and in the Yukawa sector we list all possible CP4-symmetric structures which do not run into immediate conflict with…

## 28 Citations

### Constraining CP4 3HDM with Top Quark Decays

- PhysicsUniverse
- 2021

CP4 3HDM is a unique three-Higgs-doublet model equipped with a higher-order CP-symmetry in the scalar and Yukawa sector. Based on a single assumption (the minimal model with a CP-symmetry of order 4…

### Radiative neutrino masses from order-4 CP symmetry

- Physics
- 2017

A bstractGeneralized CP symmetry of order 4 (CP4) is surprisingly powerful in shaping scalar and quark sectors of multi-Higgs models. Here, we extend this framework to the neutrino sector. We build…

### Dark matter from CP symmetry of order 4: evolution in the asymmetric regime

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2019

Multi-Higgs models equipped with global symmetries produce scalar dark matter (DM) candidates stabilized by the unbroken symmetry. It is remarkable that a conserved CP symmetry can also stabilize DM…

### Radiative neutrino masses from order-4 CP symmetry

- PhysicsJournal of High Energy Physics
- 2018

Generalized CP symmetry of order 4 (CP4) is surprisingly powerful in shaping scalar and quark sectors of multi-Higgs models. Here, we extend this framework to the neutrino sector. We build two simple…

### Symmetries and mass degeneracies in the scalar sector

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe explore some aspects of models with two and three SU(2) scalar doublets that lead to mass degeneracies among some of the physical scalars. In Higgs sectors with two scalar doublets, the…

### Anomaly-free axion dark matter in three Higgs doublet model and its phenomenological implications

- PhysicsJournal of High Energy Physics
- 2022

We study phenomenological implications of an axion that arises as a pseudo Nambu-Goldstone boson due to the spontaneous breaking of anomaly-free global flavor symmetry. One interesting possibility…

### Predictive extended 3HDM with $S_4$ family symmetry

- Physics
- 2022

We propose extended 3HDM and 4HDM theories where the SM gauge symmetry is enlarged by the inclusion of the spontaneously broken S 4 discrete symmetry group, supplemented by the preserved Z 2 and…

### Fermion masses and mixings and g − 2 muon anomaly in a 3-3-1 model with D 4 family symmetry

- Physics
- 2022

We propose a predictive model based on the SU ( 3 ) C × SU ( 3 ) L × U ( 1 ) X gauge symmetry, which is supplemented by the D 4 family symmetry and several auxiliary cyclic symmetries whose…

### Extending trinity to the scalar sector through discrete flavoured symmetries

- PhysicsThe European Physical Journal C
- 2020

We conjecture the existence of a relation between elementary scalars and fermions, making it plausible the existence of three Higgs doublets. We introduce a Trinity Principle (TP) which, given the…

### Investigation of the GCP Structure of Three-Higgs-Doublet Models and a General Method to Derive Boundedness Constraints for Multi-Higgs Potentials

- Physics
- 2018

In this thesis the theoretical analysis of an inert three-Higgs-doublet model with a generalized CP symmetry is presented. The phenomenological consequences of astrophysical observables and…

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