A Solution to the mu/Bmu Problem in Gauge Mediation with Hidden Gauge Symmetry

TL;DR

This paper presents a novel gauge-mediated SUSY breaking model that solves the mu/Bmu problem, avoids the SUSY CP problem, and aligns with solutions to the strong CP problem, while also addressing cosmological and phenomenological issues.

Contribution

It introduces a Z_3-invariant NMSSM with hidden gauge symmetry and vector-like matter, resolving key problems in gauge mediation and providing a consistent cosmological framework.

Findings

Resolves the mu/Bmu problem without CP issues.

Achieves successful electroweak symmetry breaking with ~10 TeV stops.

Suggests light gravitino as dark matter candidate with late-time entropy production.

Abstract

We propose a solution to the mu/Bmu problem in gauge-mediated SUSY breaking, which does not suffer from the SUSY CP problem and is consistent with the solution to the strong CP problem. The model is based on Z_3-invariant NMSSM with additional vector-like matter charged under a hidden gauge group as well as the standard model gauge groups. The dynamical scale of the hidden gauge symmetry is set to be around 10 GeV. We show that this simple extension of the NMSSM resolves the domain wall problem and the mu/Bmu problem without a dangerous CP angle. The relative sign among gaugino masses and the mu parameter can be preferable in terms of the muon anomalous magnetic moment. We also discuss cosmological issues of this model, especially the effects of long-lived particles in the hidden gauge sector. The hidden glueball may cause a late-time entropy production, which opens up a possibility that the light gravitino can be a dominant component of dark matter while leptogenesis scenarios work successfully. There is a region where the electroweak symmetry is successfully broken with ~10 TeV stops, and the Higgs mass of ~125 GeV can be explained.