NMSSM in gauge-mediated SUSY breaking without domain wall problem

TL;DR

This paper proposes an extension of the NMSSM within gauge-mediated SUSY breaking, adding vector-like matter charged under hidden QCD, which resolves the mu/Bmu issue and the domain wall problem, and predicts a Higgs mass up to 140 GeV.

Contribution

The paper introduces a simple extension of the NMSSM with vector-like matter to solve key problems in gauge-mediated SUSY breaking models.

Findings

The extended model successfully generates a natural mu/Bmu ratio.

It resolves the cosmological domain wall problem.

The model predicts a lightest Higgs mass up to 140 GeV.

Abstract

A problem of the gauge-mediated SUSY breaking model is its difficulty to generate a natural value of mu/Bmu, while the NMSSM is a natural framework to solve the mu/Bmu problem. The NMSSM in gauge-mediated SUSY breaking in its original form does not work well since the singlet field cannot develop a desired vacuum expectation value. It also suffers from the cosmological domain wall problem. We study an extension of the model to include additional vector-like matter, which is charged under the hidden QCD. It is shown that this simple extension solves both the problems. We study phenomenological and cosmological implications of this extended models. The lightest Higgs mass can be as large as 130-140 GeV for some model points.