A Flavor of SO(10) Unification with a Spinor Higgs
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914037535604736 |
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| author | Carrasco-Martinez, Juanca Hall, Lawrence J. Harigaya, Keisuke Langhoff, Kevin |
| author_facet | Carrasco-Martinez, Juanca Hall, Lawrence J. Harigaya, Keisuke Langhoff, Kevin |
| contents | We investigate Higgs Parity Unification-a realization of $SO(10)$ grand unification based on the Higgs Parity mechanism in which the Standard Model (SM) Higgs resides in a spinor representation. The theory has an intermediate left-right symmetric stage where the $SU(2)_R$ symmetry breaking scale is fixed by the vanishing of the SM Higgs quartic coupling. The strong $CP$ problem is solved by parity. Gauge coupling unification successfully predicts $α_s(M_Z)$ to within 1%. The spinor Higgs naturally leads to a seesaw origin for SM flavor observables. We identify a novel mechanism where large mixing of third generation fermions with additional heavy vector-like fermions accounts for the anarchical nature of the PMNS matrix and the lack of hierarchy in the neutrino mass spectrum, relative to the up-quarks. A fit to quark and lepton masses and mixings, with a minimal parameter set, predicts 1) A testable relation between the top quark mass and $α_s(M_Z)$ which is about $(1-2)σ$ from current best fit values, 2) The order of magnitude of the baryon asymmetry of the universe, via leptogenesis from second-generation right-handed neutrino decays. 3) The proton decay and the neutron EDM are likely observable in next generation experiments, and 4) A normal ordered neutrino mass spectrum where $0νββ$ decay and the mass of the lightest neutrino are out of reach of next generation experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20708 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Flavor of SO(10) Unification with a Spinor Higgs Carrasco-Martinez, Juanca Hall, Lawrence J. Harigaya, Keisuke Langhoff, Kevin High Energy Physics - Phenomenology We investigate Higgs Parity Unification-a realization of $SO(10)$ grand unification based on the Higgs Parity mechanism in which the Standard Model (SM) Higgs resides in a spinor representation. The theory has an intermediate left-right symmetric stage where the $SU(2)_R$ symmetry breaking scale is fixed by the vanishing of the SM Higgs quartic coupling. The strong $CP$ problem is solved by parity. Gauge coupling unification successfully predicts $α_s(M_Z)$ to within 1%. The spinor Higgs naturally leads to a seesaw origin for SM flavor observables. We identify a novel mechanism where large mixing of third generation fermions with additional heavy vector-like fermions accounts for the anarchical nature of the PMNS matrix and the lack of hierarchy in the neutrino mass spectrum, relative to the up-quarks. A fit to quark and lepton masses and mixings, with a minimal parameter set, predicts 1) A testable relation between the top quark mass and $α_s(M_Z)$ which is about $(1-2)σ$ from current best fit values, 2) The order of magnitude of the baryon asymmetry of the universe, via leptogenesis from second-generation right-handed neutrino decays. 3) The proton decay and the neutron EDM are likely observable in next generation experiments, and 4) A normal ordered neutrino mass spectrum where $0νββ$ decay and the mass of the lightest neutrino are out of reach of next generation experiments. |
| title | A Flavor of SO(10) Unification with a Spinor Higgs |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.20708 |