A Relation on Gaugino Masses in a Supersymmetric SO(10)_GUT x SO(6)_H Unified Model

TL;DR

This paper presents a supersymmetric SO(10)_GUT x SO(6)_H model that solves the doublet-triplet splitting problem and predicts a unique gaugino mass relation, offering a testable deviation from traditional GUT models.

Contribution

It introduces a novel SO(10)_GUT x SO(6)_H model with a new gaugino mass relation, despite non-unified gaugino masses, addressing key issues in grand unified theories.

Findings

Solves the doublet-triplet splitting problem.

Identifies a unique gaugino mass relation.

Provides a testable prediction for future experiments.

Abstract

The doublet-triplet splitting problem in supersymmetric grand unified theories is elegantly solved in a supersymmetric SO(10)_GUT x SO(6)_H model. In this model, the gauginos in the supersymmetric standard model do not respect the usual GUT gaugino mass relation. We point out that in spite of non-unified gaugino masses there is one nontrivial relation among gaugino masses in the model. Thus, it can be used to test the model in future experiments.