Running of Fermion Observables in Non-Supersymmetric SO(10) Models

TL;DR

This paper studies how fermion observables evolve in non-supersymmetric SO(10) models with intermediate symmetry breaking, revealing challenges in fitting experimental data, especially with minimal Yukawa sectors.

Contribution

It provides a detailed renormalization group analysis of fermion observables in two SO(10) models, highlighting the impact of Yukawa sector complexity and symmetry breaking on data compatibility.

Findings

Minimal Yukawa sector model fails to match observed data.

Extended Yukawa sector can fit data with normal neutrino mass ordering.

Intermediate symmetry breaking introduces tension in leptonic mixing angle fits.

Abstract

We investigate the complete renormalization group running of fermion observables in two different realistic non-supersymmetric models based on the gauge group $\textrm{SO}(10)$ with intermediate symmetry breaking for both normal and inverted neutrino mass orderings. Contrary to results of previous works, we find that the model with the more minimal Yukawa sector of the Lagrangian fails to reproduce the measured values of observables at the electroweak scale, whereas the model with the more extended Yukawa sector can do so if the neutrino masses have normal ordering. The difficulty in finding acceptable fits to measured data is a result of the added complexity from the effect of an intermediate symmetry breaking as well as tension in the value of the leptonic mixing angle $\theta^\ell_{23}$.