S4 Flavor Model of Quarks and Leptons

الأصل · EN

We present an S₄ flavor model to unify quarks and leptons in the framework of the SU(5) GUT. Three generations of 5-plets in SU(5) are assigned 3₁ of S₄ while the first and the second generations of 10-plets in SU(5) are assigned to be 2 of S₄, and the third generation of 10-plet is to be 1₁ of S₄. Right-handed neutrinos are also assigned 2 for the first and second generations and 1₁ for the third generation, respectively. Taking vacuum alignments of relevant gauge singlet scalars, we predict the quark mixing as well as the tri-bimaximal mixing of neutrino flavors. Especially, the Cabbibo angle is predicted to be 15∘ in the limit of the vacuum alignment. We can improve the model to predict observed CKM mixing angles.