Abstract

We present a new solution to the doublet-triplet splitting problem which also works in a supersymmetric $SU(5)$ grand unified theory and is testable at TeV-scale collider experiments. In our model, the $SU(5)$ symmetry is broken through the Hosotani mechanism. Thanks to the phase nature of the Hosotani breaking, the ``missing VEV'' can be realized even in an $SU(5)$ model. A general and distinctive prediction of this solution is the existence of light adjoint chiral supermultiplets with masses of the supersymmetry-breaking scale. Though these fields disturb the gauge coupling unification, it can be recovered, keeping the unified gauge coupling constant perturbative, by introducing additional vectorlike particles, which may be also observed in the upcoming collider experiments.

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