Minimal Trinification

Abstract

We study the trinified model, SU(3)_C x SU(3)_L x SU(3)_R x Z_3, with the minimal Higgs sector required for symmetry breaking. There are five Higgs doublets, and gauge-coupling unification results if all five are at the weak scale, without supersymmetry. The radiative see-saw mechanism yields sub-eV neutrino masses, without the need for intermediate scales, additional Higgs fields, or higher-dimensional operators. The proton lifetime is above the experimental limits, with the decay modes p -> \barνK^+ and p -> μ^+ K^0 potentially observable. We also consider supersymmetric versions of the model, with one or two Higgs doublets at the weak scale. The radiative see-saw mechanism fails with weak-scale supersymmetry due to the nonrenormalization of the superpotential, but operates in the split-SUSY scenario.

23 pages, uses axodraw

References in corpus (2)

• Flavoured leptogenesis: a successful thermal leptogenesis with N_1 mass below 10^8 GeV
• Lack of trinification in Z_3 orbifolds of the SO(32) heterotic string

Cited by in corpus (36)

• Natural Dark Matter from an Unnatural Higgs Boson and New Colored Particles at the TeV Scale
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• Nucleon Decay Searches with large Liquid Argon TPC Detectors at Shallow Depths: atmospheric neutrinos and cosmogenic backgrounds
• Underground Neutrino Detectors for Particle and Astroparticle Science: the Giant Liquid Argon Charge Imaging ExpeRiment (GLACIER)
• GUT Physics in the era of the LHC
• The Dark Side of Flipped Trinification
• Triplet Extended Supersymmetric Standard Model
• Low-energy phenomenology of trinification: an effective left-right-symmetric model
• Reviving trinification models through an ${\mathrm{E}}_6$-extended supersymmetric GUT
• Basics of inflationary cosmology
• Reduction of N=1, E_8 SYM over SU(3)/U(1) x U(1) x Z_3 and its four-dimensional effective action
• On a radiative origin of the Standard Model from Trinification
• Safe Trinification
• Trinification, the Hierarchy Problem and Inverse Seesaw Neutrino Masses
• Scale hierarchies, symmetry breaking and particle spectra in SU(3)-family extended SUSY trinification
• Minimal $SU(3)\times SU(3)$ symmetry breaking patterns
• $N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences
• Unification Without Doublet-Triplet Splitting
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• The mass of the Higgs boson in the trinification subgroup of E6
• Unification and Local Baryon Number
• Flipped versions of the universal 3-3-1 and the left-right symmetric models in $[SU(3){]}^3$: a comprehensive approach
• Vector Boson Dark Matter From Trinification
• How low-scale Trinification sheds light in the flavour hierarchies, neutrino puzzle, dark matter and leptogenesis
• Dimension-Five Operators in Grand Unified Theories
• A New Approach to Flavor Symmetry and an Extended Naturalness Principle
• Dark Matter Candidate from Conformality
• Monopoles, Exotic states and Muon $g-2$ in TeV scale Trinification
• Muon $g-2$ Anomaly from Vector-like Leptons in a 2-Higgs-doublet + Scalar Singlet Model
• Six Higgs Doublets Model for Dark Matter
• Theorem on vanishing contributions to ${\sin }^2{\theta }_W$ and intermediate mass scale in Grand Unified Theories with trinification symmetry
• Approximate Particle Spectra in the Pyramid Scheme
• Proton Decay Constraints on Low Scale AdS/CFT Unification
• Spontaneous CP Violation and the Strong CP Problem in Left-Right Symmetric Theories
• Implications of a dark grand unification
• Low scale trinification symmetry through effects of dimension-5 operators in $E_6$ grand unified theory with and without supersymmetry