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The gauge coupling evolutions of an ${\rm SU}(8)$ theory with the maximally symmetry breaking pattern
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abstract
We study the renormalizable group equations (RGEs) of the extended strong and weak gauge couplings in an ${\rm SU}(8)$ theory, where three-generational SM fermions are non-trivially embedded. This framework was previously found to generate the observed SM quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern through its maximally breaking pattern. The field theoretical two-loop RGEs can not achieve the gauge coupling unification with the minimal setup, unless additional adjoint Higgs fields as well as the gravity-induced $d=5$ term to the ${\rm SU}(8)$ field strength term are included.
Forward citations
Cited by 2 Pith papers
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The non-topological $Z^\prime$ string in the 331 model and its classical stability
Numerical perturbation analysis shows non-topological Z' strings in the minimal 331 model remain stable only near the semilocal limit θ_S ≈ π/2 even after tuning Higgs self-couplings.
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The unification in an $\widehat {\mathfrak{s}\mathfrak{u}}(8)_{ k_U = 1}$ affine Lie algebra
An N=1 supersymmetric extension of an SU(8) flavor-unified model is shown to unify the three gauge couplings through a level-1 affine Lie algebra conformal embedding.
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