Unifying left-right symmetry and 331 electroweak theories

Abstract

We propose a realistic theory based on the $\mathrm{SU}(3{)}_{\mathrm{c}}\otimes \mathrm{SU}(3{)}_{\mathrm{L}}\otimes \mathrm{SU}(3{)}_{\mathrm{R}}\otimes \mathrm{U}(1{)}_{\mathrm{X}}$ gauge group which requires the number of families to match the number of colors. In the simplest realization neutrino masses arise from the canonical seesaw mechanism and their smallness correlates with the observed V-A nature of the weak force. Depending on the symmetry breaking path to the Standard Model one recovers either a left-right symmetric theory or one based on the $\mathrm{SU}(3{)}_{\mathrm{c}}\otimes \mathrm{SU}(3{)}_{\mathrm{L}}\otimes \mathrm{U}(1)$ symmetry as the "next" step towards new physics.

arXiv comment11 pages, 2 figures. Published version

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• Perturbativity constraints on $U(1{)}_{B-L}$ and left-right models and implications for heavy gauge boson searches
• Towards gauge coupling unification in left-right symmetric $\mathrm{SU}(3{)}_{\mathrm{c}}\times \mathrm{SU}(3{)}_{\mathrm{L}}\times \mathrm{SU}(3{)}_{\mathrm{R}}\times \mathrm{U}(1{)}_{\mathrm{X}}$ theories
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• Phenomenology of the simple 3-3-1 model with inert scalars
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• Flavor changing in the flipped trinification
• Three-family left-right symmetry with low-scale seesaw mechanism
• Investigation of Dark Matter in the 3-2-3-1 Model
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• Novel effects of the $W$-boson mass shift in the 3-3-1 model
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• Electric charge assignment in quantum field theories
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