Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry

Abstract

We construct a supersymmetric (SUSY) $SU(5)$ model with the flavor symmetry $S_4\times Z_3\times Z_4$. Three generations of adjoint matter fields are introduced to generate the neutrino masses via the combined type I and type III see-saw mechanism. The first two generations of the the $10$ dimensional representation in $SU(5)$ are assigned to be a doublet of $S_4$, the second family $10$ is chose as the first component of the doublet, and the first family as the second component. Tri-bimaximal mixing in the neutrino sector is predicted exactly at leading order, charged lepton mixing leads to small deviation from the tri-bimaximal mixing pattern. Subleading contributions introduce corrections of order ${\lambda }_c^2$ to all three lepton mixing angles. The model also reproduces a realistic pattern of quark and charged lepton masses and quark mixings. The phenomenological implications of the model are analyzed in datail.

39pages, 5 figures

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Cited by in corpus (8)

• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Neutrino masses and mixing from S4 flavor twisting
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Modular $S_4\times SU(5)$ GUT
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• Neutrino Oscillations in the Three Flavor Paradigm