Flavor Delta(54) in SU(5) SUSY Model

Abstract

We design a supersymmetric SU (5) GUT model using Δ(54), a finite non-abelian subgroup of SU (3)f . Heavy right handed neutrinos are introduced which transform as three-dimensional repre-sentation of our chosen family group. The model successfully reproduces the mass hierarchical mass structures of the Standard Model, and the CKM mixing matrix. It then provides predictions for the light neutrino with a normal hierarchy and masses such that mν,1 \approx 5\times10-3 eV, mν, 2 \approx 1\times 10-2 eV, and mν,3 \approx 5 \times 10-2 eV. We also provide predictions for masses of the heavy neutrinos, and correc- tions to the tri-bimaximal matrix that fit within experimental limits, e.g. a reactor angle of -7.31o. A simple modification to our model is introduced at the end and is shown to also produce predictions that fall well within those limits.

22 pages

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Cited by in corpus (11)

• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• $\mathcal{C}\mathcal{P}$ Violation from String Theory
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Fermion masses and mixing in $\Delta (27)$ flavour model
• Symmetries of symmetries and geometrical CP violation
• Delta(54) flavor phenomenology and strings
• Towards Minimal S4 Lepton Flavor Model
• CP and other Symmetries of Symmetries
• Symmetryless Dark Matter
• Gauge extension of non-Abelian discrete flavor symmetry