Supersymmetric Grand Unified Models without Adjoint Higgs Fields

TL;DR

This paper proposes supersymmetric grand unified theories based on extended gauge groups that generate effective adjoint fields from fundamental Higgs fields, enabling realistic fermion mass matrices without adjoint Higgs fields.

Contribution

It introduces models based on extended gauge groups where adjoint fields are formed from fundamental Higgs fields, avoiding the need for adjoint Higgs representations in GUTs.

Findings

Constructed fermion mass matrices consistent with experimental data.

Achieved successful GUT mass relations like Georgi-Jarlskog.

Demonstrated models without adjoint Higgs fields are viable.

Abstract

We discuss two classes of supersymmetric grand unified theories based on extended gauge groups $SO(10) \times SO(10)$ and $SO(10)\times SO(10)\times SO(10)$. Effective adjoint fields of each gauge group SO(10) are argued to be formed from combining two Higgs fields in fundamental representation of the extended gauge groups, one obtaining its VEV along the diagonal $SO(10)_D$ direction and the other acquiring its VEV along the diagonal $SU(5)_D\times U(1)_D$ or its subgroup direction. Thus experimentally acceptable fermion mass matrices, such as Georgi-Jarlskog ansatz, with successful GUT mass relations can be constructed in these theories.