Speaker
Description
We present the latest progress in analyzing the minimal potentially realistic non-supersymmetric $\mathrm{SO}(10)$ GUT model, whose scalar sector consists of representations $45+126+10$. Although the model is expected to give a robust proton decay prediction, any analysis is hampered by tachyonic instabilities present in the tree-level scalar potential. The one-loop corrected effective potential indicates that in the perturbative regime the only phenomenologically viable breaking pattern to the Standard Model is through an intermediate $\mathrm{SU}(4)\times\mathrm{SU}(2)\times\mathrm{U}(1)$ symmetry. Most recent developments, however, show that this region of parameter space does not admit a suitable fine-tuning associated to the EW-scale Higgs doublet, implying that the model is perturbatively not viable.
