Dynamical GUT breaking and $\mu$-term driven supersymmetry breaking

Models for dynamical breaking of supersymmetric grand unified theories are presented. The doublet-triplet splitting problem is absent since the Higgs-doublet superfields can be identified with the massless mesons of the strong gauge group whereas there are no massless states corresponding to the colored-Higgs fields. Various strong gauge groups $\mathrm{SU}(N_c)$, $\mathrm{Sp}(N_c)$, and $\mathrm{SO}(N_c)$ are examined. In a model with SO(9) strong gauge group, adding a $\mu$-term for the Higgs fields triggers to break supersymmetry in a metastable vacuum. The pattern of the supersymmetry breaking parameters is predicted to be of the gauge-mediation type with modifications in the Higgs sector.

Figure 1

A schematic view of the hadron spectrum of the model. Only the doublet part $H_D$ remains massless whereas the colored Higgs $H_C$ have masses by pairing up with ${\overline{H}}_C^{\prime }$.