Fermion masses and mixing in $\Delta (27)$ flavour model

Abstract

An extension of the Standard Model (SM) based on the non-Abelian discrete group $\Delta (27)$ is considered. The $\Delta (27)$ flavour symmetry is spontaneously broken only by gauge singlet scalar fields, therefore our model is free from any flavour changing neural current. We show that the model accounts simultaneously for the observed quark and lepton masses and their mixing. In the quark sector, we find that the up quark mass matrix is flavour diagonal and the Cabbibo-Kobayashi-Maskawa (CKM) mixing matrix arises from down quarks. In the lepton sector, we show that the charged lepton mass matrix is almost diagonal. We also adopt type-I seesaw mechanism to generate neutrino masses. A deviated mixing matrix from tri-bimaximal Maki-Nakagawa-Sakata (MNS), with $\sin {\theta }_{13}\sim 0.13$ and ${\sin }^2{\theta }_{23}\sim 0.41$, is naturally produced.

arXiv comment14 pages, 2 figures

References in corpus (33)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Status of three-neutrino oscillation parameters, circa 2013
• A_4 Symmetry and Neutrinos with Very Different Masses
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Lepton mixing and discrete symmetries
• The Unique Horizontal Symmetry of Leptons
• The Flavor Symmetry
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• The Flavor Group Delta(3n^2)
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Neutrino Mass Matrix from Delta(27) Symmetry
• Quark Mass Matrices in the A_4 Model
• High scale mixing unification and large neutrino mixing angles
• The Flavor Group Delta(6n^2)
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Maximal CP violation in lepton mixing from a model with Delta(27) flavour symmetry
• Neutrino Mixing and Geometric CP Violation with Delta(27) Symmetry
• Neutrinoless Double Beta Decay in the Presence of Light Sterile Neutrinos
• Scotogenic $Z_2$ or $U(1{)}_D$ Model of Neutrino Mass with $\Delta (27)$ Symmetry
• Lepton Flavor Model from Delta(54) Symmetry
• Group Theory and Dynamics of Neutrino Mixing
• Delta(54) Flavor Model for Leptons and Sleptons
• Is the tri-bimaximal mixing accidental?
• Deviations from Tribimaximal Neutrino Mixing using a Model with $\Delta (27)$ Symmetry
• Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry
• Flavor Delta(54) in SU(5) SUSY Model
• A(4) Symmetry and Neutrinos

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• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• Revisiting the Dirac Nature of Neutrinos in the Light of $\Delta (27)$ and Cyclic Symmetries
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