Geometrical CP violation with a complete fermion sector

Abstract

We consider Delta(27) models featuring geometrical CP violation, and analyse several structures that can obtain the observed lepton masses and mixing. The leptonic structures considered are entirely consistent with structures that reproduce the experimental data in the quark sector. This constitutes an existence proof of geometrical CP violation models accounting for the masses and mixing of all fermions.

11 pages. v2: accepted by JHEP

References in corpus (6)

• Global fit to three neutrino mixing: critical look at present precision
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Different SO(10) Paths to Fermion Masses and Mixings
• Ultraviolet Completion of Flavour Models
• Neutrino Mixing and Geometric CP Violation with Delta(27) Symmetry
• Geometrical CP violation in the N-Higgs-doublet model

Cited by in corpus (22)

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• Symmetries of symmetries and geometrical CP violation
• A to Z of Flavour with Pati-Salam
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
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• 3HDM with $\Delta (27)$ symmetry and its phenomenological consequences
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• Reconstructing Effective Lagrangians Embedding Residual Family Symmetries
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry
• CP-odd invariants for multi-Higgs models and applications with discrete symmetry