Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-16
Prog.Theor.Phys.Suppl.180:61-71,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, talked at the 16th Yukawa International Seminar, Particle Physics beyond the Standard Model
Scientific paper
10.1143/PTPS.180.61
We present an $S_4$ flavor model to unify quarks and leptons in the framework of the SU(5) GUT. Three generations of $\bar 5$-plets in SU(5) are assigned $3_1$ of $S_4$ while the first and the second generations of 10-plets in SU(5) are assigned to be 2 of $S_4$, and the third generation of 10-plet is to be $1_1$ of $S_4$. Right-handed neutrinos are also assigned 2 for the first and second generations and $1_1$ 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 $15^{\circ}$ in the limit of the vacuum alignment. We can improve the model to predict observed CKM mixing angles.
Ishimori Hajime
Shimizu Yusuke
Tanimoto Morimitsu
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