Different SO(10) Paths to Fermion Masses and Mixings

TL;DR

This paper evaluates SO(10) grand unified models with type-II see-saw dominance, demonstrating their ability to fit fermion masses and mixings, including neutrinos, while highlighting the trade-off with increased fine-tuning.

Contribution

It provides a comprehensive analysis of SO(10) models with type-II see-saw dominance and compares their performance to conventional models in fitting fermion data.

Findings

Type-II see-saw dominance models fit fermion data well.

These models achieve comparable fit quality to the best existing models.

They require more fine-tuning due to their structural constraints.

Abstract

Recently SO(10) models with type-II see-saw dominance have been proposed as a promising framework for obtaining Grand Unification theories with approximate Tri-bimaximal (TB) mixing in the neutrino sector. We make a general study of SO(10) models with type-II see-saw dominance and show that an excellent fit can be obtained for fermion masses and mixings, also including the neutrino sector. To make this statement more significant we compare the performance of type-II see-saw dominance models in fitting the fermion masses and mixings with more conventional models which have no built-in TB mixing in the neutrino sector. For a fair comparison the same input data and fitting procedure is adopted for all different theories. We find that the type-II dominance models lead to an excellent fit, comparable with the best among the available models, but the tight structure of this framework implies a significantly larger amount of fine tuning with respect to other approaches.