Towards realistic models of quark masses with geometrical CP violation

Abstract

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 Z_N symmetry in addition to Δ(27), we forbid all terms in the scalar potential that would spoil the calculable phases the triple acquires. The quark sector is realised by mimicking an existing scheme that reproduces the masses and CKM mixing, with the extra symmetry enabling the hierarchies in the Yukawa couplings through a Froggatt-Nielsen mechanism.

4 pages, 2 figures. v2: accepted by J. Phys. G

References in corpus (8)

• S_4 Flavored CP Symmetry for Neutrinos
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Generalized CP symmetries in Delta(27) flavor models
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
• Geometrical CP violation in the N-Higgs-doublet model
• Inverse neutrino mass hierarchy in a flavour GUT model
• A dynamical CP source for CKM, PMNS and Leptogenesis

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• Towards a complete $\Delta (27)\times SO(10)$ SUSY GUT
• Fermion and scalar phenomenology of a 2-Higgs doublet model with $S_3$
• The first $\Delta (27)$ flavor 3-3-1 model with low scale seesaw mechanism
• Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism
• Invariant approach to CP in family symmetry models
• Invariant approach to CP in unbroken $\Delta (27)$
• A 3-3-1 model with low scale seesaw mechanisms
• Symmetries of symmetries and geometrical CP violation
• 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
• $\Delta (27)$ framework for cobimaximal neutrino mixing models
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Exploring multi-Higgs models with softly broken large discrete symmetry groups
• Low scale type I seesaw model for lepton masses and mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• 3HDM with $\Delta (27)$ symmetry and its phenomenological consequences
• Adding CP to flavour symmetries
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry