On a radiative origin of the Standard Model from Trinification

TL;DR

This paper proposes a grand unified theory based on trinification with a global SU(3) symmetry, which naturally leads to the Standard Model through radiative symmetry breaking and explains fermion mass hierarchies.

Contribution

It introduces a trinification-based GUT with a global SU(3) symmetry that dynamically breaks down to the Standard Model via radiative corrections, providing a new approach to unification and fermion masses.

Findings

Effective theory enables gauge symmetry breaking through radiative corrections.

Model accommodates Standard Model matter content with minimal Yukawa couplings.

Provides a framework for explaining the SM breaking scale and fermion hierarchies.

Abstract

In this work, we present a trinification-based grand unified theory incorporating a global $\mathrm{SU}(3)$ family symmetry that after a spontaneous breaking leads to a left-right symmetric model. Already at the classical level, this model can accommodate the matter content and the quark Cabbibo mixing in the Standard Model (SM) with only one Yukawa coupling at the unification scale. Considering the minimal low-energy scenario with the least amount of light states, we show that the resulting effective theory enables dynamical breaking of its gauge group down to that of the SM by means of radiative corrections accounted for by the renormalisation group evolution at one loop. This result paves the way for a consistent explanation of the SM breaking scale and fermion mass hierarchies.