The quantum nature of the "minimal" SO(10) GUT
V. Susič*, K. Jarkovska and M. Malinsky
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
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.