Unification of Gauge Couplings and the Higgs Mass in Vector-Like Particle Theories Extended into NMSSM

TL;DR

This paper explores extending the MSSM with vector-like particles into the NMSSM framework, demonstrating how this extension facilitates gauge coupling unification and influences the Higgs mass through additional Yukawa interactions.

Contribution

It introduces a novel extension of vector-like MSSM into NMSSM, showing how this setup naturally generates TeV-scale vector-like masses and improves gauge coupling unification.

Findings

Vector-like particles acquire TeV-scale masses via Z_3 breaking.

Extended models improve gauge coupling unification trajectories.

The vector-like sector contributes to the Higgs mass.

Abstract

The minimal supersymmetry standard model (MSSM) extended with vector-like theories have long been discussed. If we extend the vector-like MSSM theory into NMSSM and let the vector-like particles couple with the singlet (S), we find out a natural way to generate the vector-like particle masses near 1TeV through the breaking of the Z_3 group. Compared with MSSM+vectorlike models, vector-like models extended into NMSSM contain more yukawa couplings and can help us adjust the renormalization group (RG) trajectories of the gauge couplings in order to unify the intersections. They can also help press down the gauge RG-beta functions for a 5+5bar+10+10bar model, in order for the RG-trajectories of the gauge couplings to unify before the Landau-pole. We also discuss the higgs mass contributed from the vector-like sectors in this case.