A 3-3-1 model with SU(8) unification
Abstract
We construct a 3-3-1 model for three families that can be embedded into a single SU(8) unified model. Assuming appropriate branching rules and symmetry-breaking pattern, we find a complete fermion content within irreducible representations of SU(8), where light standard model fermions, heavy 3-3-1 fermions and super-heavy fermions may be distinguished. In the framework of the doubly lopsided mechanism, we obtain mass matrix structures which exhibit nontrivial flavor hierarchical features. Among the up-type quarks, one (top quark) has tree-level mass and two (charm and up) get masses at one-loop level. Considering only dominant contributions, we may obtain the ratios $|m_c/m_t| \approx 7.4 \times 10^{-3}$ and $|m_u/m_c| \approx 1.9 \times 10^{-3}$ with few assumptions on the free parameters and without any hierarchical requirements on the Yukawa couplings.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2011
- DOI:
- 10.48550/arXiv.1105.4623
- arXiv:
- arXiv:1105.4623
- Bibcode:
- 2011arXiv1105.4623M
- Keywords:
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- High Energy Physics - Phenomenology