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

2010

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

Ding, Gui-Jun

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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 $\mathbf{10}$ dimensional representation in $SU(5)$ are assigned to be a doublet of $S_4$, the second family $\mathbf{10}$ 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.

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