PoS - Proceedings of Science
Volume 431 - 8th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE2022) - Atoms, nuclei, molecules, and spectroscopy
The quantum nature of the "minimal" SO(10) GUT
V. Susič*, K. Jarkovska and M. Malinsky
Full text: pdf
Pre-published on: January 31, 2024
Published on: February 01, 2024
Abstract
The minimal non-supersymmetric $\mathrm{SO}(10)$ Grand Unified Theory consists of the scalar sector $\mathbf{45}\oplus\mathbf{126}\oplus\mathbf{10}_{\mathbb{C}}$. Since this model is expected to provide robust proton decay predictions, its analysis is of great interest, but has been hampered by tree-level tachyonic instabilities and thus requires an assessment at one-loop level. We describe in these proceedings the latest progress in such efforts. We find that viable regions of parameter space exist where the scalar spectrum is non-tachyonic, perturbative and compatible with unification. The latest developments show, however, an obstruction in the Yukawa sector: realistic fermion masses require the Standard Model Higgs doublet to be fine-tuned to the EW scale in such a way that it is an admixture of states from both the $\mathbf{10}$ and $\mathbf{126}$, which turns out to be in tension with either tachyonicity or perturbativity of the scalar spectrum. This strongly indicates the model is not perturbatively viable, albeit due to a subtle and perhaps unexpected reason.
DOI: https://doi.org/10.22323/1.431.0045
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