The quantum vacuum of the minimal SO(10) GUT

Abstract

We reexamine the longstanding no-go excluding all potentially viable SO(10) -> SU(3)_c x SU(2)_L x U(1)_Y symmetry breaking patterns within the minimal renormalizable non-supersymmetric SO(10) GUT framework featuring the 45-dimensional adjoint representation in the Higgs sector. A simple symmetry argument indicates that quantum effects do change the vacuum structure of the model dramatically. A thorough analysis of the one-loop effective potential reveals that the phenomenologically favoured symmetry breaking chains passing through the SU(4)_C x SU(2)_L x U(1)_R or SU(3)_c x SU(2)_L x SU(2)_R x U(1)_B-L intermediate stages are, indeed, supported at the quantum level. This brings the class of minimal non-supersymmetric SO(10) GUTs back from oblivion, providing a new ground for a potentially realistic model building.

5 pages, 1 figure, proceedings submission for PASCOS'10

References in corpus (3)

• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• On the vacuum of the minimal nonsupersymmetric SO(10) unification
• Minimal SO(10) splits supersymmetry

Cited by in corpus (12)

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• Seesaw Scale in the Minimal Renormalizable SO(10) Grand Unification
• GUT Physics in the era of the LHC
• Renormalization Group Running of Fermion Observables in an Extended Non-Supersymmetric SO(10) Model
• New Class of SO(10) Models for Flavor
• Surveying the SO(10) Model Landscape: The Left-Right Symmetric Case
• Flavor Hierarchies from Clockwork in SO(10) GUT
• One-loop pseudo-Goldstone masses in the minimal $SO(10)$ Higgs model
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Aspects of symmetry breaking in SO(10) GUTs
• Spontaneous SU(2) symmetry violation in the $SU(2{)}_L\times SU(2{)}_R\times SU(4)$ electroweak model