Minimal trinification

2006/01/06 by J. Sayre, Joshua Sayre, S. Wiesenfeldt +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Higgs boson #Higgs sector #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Proton decay #Seesaw mechanism #Seesaw molecular geometry #Superpotential #Supersymmetry #hep-ph

paper · pdf · doi:10.1103/physrevd.73.035013

published as Phys.Rev. D73 (2006) 035013 · 23 pages, uses axodraw

arxiv created 2006/01/06 · openalex publication_date 2006/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the trinified model, SU(3)_C\ifmmode×\else\texttimes\fiSU(3)_L\ifmmode×\else\texttimes\fiSU(3)_R\ifmmode×\else\texttimes\fiℤ₃, 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 seesaw 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\ensuremath→\ensuremathνK⁺ and p\ensuremath→\ensuremathμ⁺K⁰ potentially observable. We also consider supersymmetric versions of the model, with one or two Higgs doublets at the weak scale. The radiative seesaw mechanism fails with weak-scale supersymmetry due to the nonrenormalization of the superpotential, but operates in the split-SUSY scenario.

Citations

• Neutrino masses from U(1) symmetries and the Super-Kamiokande data
• Supersymmetric unification without proton decay
• MSSM from SUSY trinification
• PROTON DECAY IN SUPERSYMMETRIC GUT MODELS
• Generalization of trinification to theories with3NSU(3) gauge groups
• Flavor-changing interactions mediated by scalars at the weak scale
• Three family Z3 orbifold trinification, MSSM and doublet–triplet splitting problem
• Gauge hierarchy in SU(3)c×SU(3)L×SU(3)R and low energy implications
• Minimal supersymmetric standard model and large tanβ from SUSY trinification
• Gauge hierarchy, Planck scale corrections and the origin of GUT scale in supersymmetric (SU (3))3
• Unity of All Elementary-Particle Forces
• Flavor dependence ofCPasymmetries and thermal leptogenesis with strong right-handed neutrino mass hierarchy
• Kink-induced symmetry breaking patterns in brane-worldSU(3)3trinification models
• PeV-scale supersymmetry
• LACK OF TRINIFICATION IN Z3 ORBIFOLDS OF THE SO(32) HETEROTIC STRING

Cited by

• Safe trinification
• GUT Physics in the Era of the LHC