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  • Open Access

Updated analysis of minimal supersymmetric SO(10) with a universal soft spectrum

Cheng-Wei Chiang1,2,* and Takeshi Fukuyama3,†

  • *Contact author: chengwei@phys.ntu.edu.tw
  • †Contact author: fukuyama@rcnp.osaka-u.ac.jp
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Phys. Rev. D 114, 055049 – Published 28 September, 2026

DOI: https://doi.org/10.1103/x88h-ppv8

Abstract

We update the analysis of minimal supersymmetric SO(10) grand unification with a universal, constrained-minimal supersymmetric Standard Model (MSSM)-like soft-breaking spectrum. A pair of Yukawa matrices in the 10⊕126¯ Higgs sector fixes the charged fermion masses and quark mixing, the baryon number-violating dimension-five operators that mediate proton decay, and the right-handed neutrino Majorana masses of the type-I seesaw. The simultaneously imposed constraints include: (i) gauge coupling unification and vacuum stability; (ii) dimension-five proton decay (the dimension-six gauge mode also computed and negligible), the 125-GeV Higgs mass, and the Large Electron-Positron chargino limit; and (iii) μ→eγ, the muon g−2, and electric dipole moments. We perform a global scan over the soft-breaking parameters, complemented by a constrained-μ cross-check that fixes the electroweakino sector from the grand unified theory (GUT)-scale boundary conditions through radiative electroweak symmetry breaking. Subject to a single effective colored Higgs scale MHC for the proton decay normalization (common to unification and decay, though in a general color triplet mass matrix the two can differ) and to a constrained-μ treatment, what survives is a narrow minisplit region: heavy, multitens-of-TeV scalars with m0≳11.0  TeV for a dressing electroweakino mass mχ=1  TeV and tanβ≲8.0−2.0+5.5, the uncertainty being the Higgs mass theory error. We also examine the fate of the lightest supersymmetric particle as a dark matter candidate, in both the universal model and its free-μ nonuniversal-Higgs-mass extension. The surviving region is sharply bounded and testable in the coming decade, most directly by Hyper-Kamiokande proton decay and electroweakino searches, with dark matter direct detection and electric dipole moment experiments.

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Phys. Rev. D 114, 055049– Published 28 September, 2026
  • Received 10 July 2026
  • Accepted 24 August 2026
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