English

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

High Energy Physics - Phenomenology 2026-07-05 v1 High Energy Physics - Experiment

Abstract

We update the analysis of minimal supersymmetric SO(10) grand unification with a universal, constrained-MSSM-like soft-breaking spectrum. A pair of Yukawa matrices in the 10126{\bf 10} \oplus \overline{\bf 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 LEP chargino limit; and (iii) μeγ\mu\to e\gamma, the muon g2g-2, and electric dipole moments. We perform a global scan over the soft-breaking parameters, complemented by a constrained-μ\mu 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 MHCM_{H_C} for the proton decay normalization and to a constrained-μ\mu treatment, what survives is a narrow mini-split region: heavy, multi-tens-of-TeV scalars with m07.7m_0 \gtrsim 7.7~TeV and tanβ9\tan\beta \lesssim 9. We also examine the fate of the lightest supersymmetric particle as a dark matter candidate, in both the universal model and its free-μ\mu 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.

Keywords

Cite

@article{arxiv.2607.04250,
  title  = {Updated analysis of minimal supersymmetric SO(10) with a universal soft spectrum},
  author = {Cheng-Wei Chiang and Takeshi Fukuyama},
  journal= {arXiv preprint arXiv:2607.04250},
  year   = {2026}
}

Comments

43 pages, 10 figures