NMSSM in gauge-mediated SUSY breaking without domain wall problem

Understand

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.