Trinification Phenomenology and the structure of Higgs Bosons

Abstract

The extension of the Standard Model to $SU(3{)}_L\times SU(3{)}_R\times SU(3{)}_C$ (the trinification group) augmented by the $SO(3{)}_G$ flavor group is considered. In our phenomenological treatment partly known and partly proposed vacuum expectation values of the scalar Higgs fields play a dominant role. All Higgs fields are taken to be flavor singlets, all flavon fields trinification singlets. We need two flavor (generation) matrices. One determines the mass hierarchy of all fermions, the second one is responsible for all mixings including the CP-violating phase in the CKM matrix. The mixing with higher states contained in the group representation provides for an understanding of the difference between the up quark and the down quark spectrum. There is a close connection between charged and neutral fermions. An inverted neutrino hierarchy is predicted. Examples for the tree-level potential of the Higgs fields are given. To obtain an acceptable spectrum of scalar states, the construction of the potential requires the combination of matrix fields that differ with respect to fermion couplings and flavor-changing properties. As a consequence bosons with fermiophobic components or, alternatively, flavor-changing components are predicted in this model. Nevertheless, the Higgs boson at 125 GeV is very little different from the Standard Model Higgs boson in its couplings to fermions but may have self-coupling constants larger by a factor 2.

arXiv comment12 pages, minor corrections, version accepted for publication in JHEP

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Cited by in corpus (10)

• The Dark Side of Flipped Trinification
• GUT Physics in the era of the LHC
• Low-energy phenomenology of trinification: an effective left-right-symmetric model
• Reviving trinification models through an ${\mathrm{E}}_6$-extended supersymmetric GUT
• On a radiative origin of the Standard Model from Trinification
• Scale hierarchies, symmetry breaking and particle spectra in SU(3)-family extended SUSY trinification
• Minimal $SU(3)\times SU(3)$ symmetry breaking patterns
• How low-scale Trinification sheds light in the flavour hierarchies, neutrino puzzle, dark matter and leptogenesis
• Theorem on vanishing contributions to ${\sin }^2{\theta }_W$ and intermediate mass scale in Grand Unified Theories with trinification symmetry
• The Resurgence of the G(2) Group for the Strong Sector and the Emergence of Dark Matter