Higgs Parity Grand Unification

Abstract

The vanishing of the Higgs quartic coupling of the Standard Model at high energies may be explained by spontaneous breaking of Higgs Parity. Taking Higgs Parity to originate from the Left-Right symmetry of the $SO(10)$ gauge group, leads to a new scheme for precision gauge coupling unification that is consistent with proton decay. We compute the relevant running of couplings and threshold corrections to allow a precise correlation among Standard Model parameters. The scheme has a built-in solution for obtaining a realistic value for $m_b/m_{\tau }$, which further improves the precision from gauge coupling unification, allowing the QCD coupling constant to be predicted to the level of 1 % or, alternatively, the top quark mass to 0.2 %. Future measurements of these parameters may significantly constrain the detailed structure of the theory. We also study an $SO(10)$ embedding of quark and lepton masses, showing how large neutrino mixing is compatible with small quark mixing, and predict a normal neutrino mass hierarchy. The strong CP problem may be explained by combining Higgs Parity with space-time parity.

39 pages, 9 figures

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Cited by in corpus (11)

• Increasing Temperature toward the Completion of Reheating
• Sterile Neutrino Dark Matter in Left-Right Theories
• Dark Matter, Dark Radiation and Gravitational Waves from Mirror Higgs Parity
• Left-Right symmetric fermions and sterile neutrinos from complex split biquaternions and bioctonions
• Novel loop-diagrammatic approach to QCD $\theta$ parameter and application to the left-right model
• Sterile Neutrino Dark Matter and Leptogenesis in Left-Right Higgs Parity
• Proton Decay and Axion Dark Matter in SO(10) Grand Unification via Minimal Left-Right Symmetry
• Dark Matter Detection, Standard Model Parameters, and Intermediate Scale Supersymmetry
• Electroweak-like Baryogenesis with New Chiral Matter
• More on Fake GUT
• Spontaneous CP Violation and Flavor Changing Neutral Currents in Minimal SO(10)