Updated analysis of minimal supersymmetric SO(10) with a universal soft spectrum
Abstract
We update the analysis of minimal supersymmetric SO10 grand unification with a universal, constrained-MSSM-like soft-breaking spectrum. A pair of Yukawa matrices in the rep10⊕rep126̅ 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 Collider (LEP) 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 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 mini-split region: heavy, multi-tens-of-TeV scalars with mzero ≳ 11.0~TeV for a dressing electroweakino mass mχ=1~TeV and tb ≲ 8.0+5.5−2.0, 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 non-universal-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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BibTeX
@misc{chiang2026updated,
title = {{Updated analysis of minimal supersymmetric SO(10) with a universal soft spectrum}},
author = {Cheng-Wei Chiang and Takeshi Fukuyama},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.04250},
eprint = {2607.04250},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.04250},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Updated analysis of minimal supersymmetric SO(10) with a universal soft spectrum
AU - Cheng-Wei Chiang
AU - Takeshi Fukuyama
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2607.04250
UR - https://arxiv.org/abs/2607.04250
AB - We update the analysis of minimal supersymmetric SO10 grand unification with a universal, constrained-MSSM-like soft-breaking spectrum. A pair of Yukawa matrices in the rep10⊕rep126̅ 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 Collider (LEP) 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 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 mini-split region: heavy, multi-tens-of-TeV scalars with mzero ≳ 11.0~TeV for a dressing electroweakino mass m_χ=1~TeV and tb ≲ 8.0^+5.5_−2.0, 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 non-universal-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.
ER -