Towards a New Minimal SO(10) Unification

TL;DR

This paper explores a minimal non-supersymmetric SO(10) grand unified model with specific Higgs representations, demonstrating its potential for realistic proton lifetime estimates and consistent gauge unification.

Contribution

It presents a simplified SO(10) model with a renormalizable Higgs sector that supports a viable seesaw scale and offers a framework for future proton decay predictions.

Findings

Several parameter space regions support a seesaw scale of 10^13-14 GeV.

The model aligns with gauge unification constraints.

It provides a basis for estimating proton lifetime in non-supersymmetric GUTs.

Abstract

We argue that non-supersymmetric SO(10) models based on a renormalizable Higgs sector in which spontaneous symmetry breaking is triggered by the VEVs of a 45-dimensional adjoint and a 126-dimensional tensor representations can provide a potentially realistic yet relatively simple framework for a future robust estimate of the proton lifetime. Following closely the work Phys.Rev.D85, 095014 (2012), arXiv: 1202.0807 [hep-ph] we comment on the gauge unification constraints on the B-L breaking scale and show that there are several regions in the parameter space of the minimal model where the seesaw scale in the phenomenologically favoured ballpark of around 10^13-14 GeV is consistently supported.