Stability of Gauge Hierarchy in Einstein Supergravity

Abstract

In supersymmetric grand unified theories, the gauge hierarchy achieved by a fine-tuning in the superpotential can be violated in the presence of soft breaking terms. We examine this problem in Einstein supergravity with hidden-sector supersymmetry breaking. We show that the hierarchy is preserved if couplings of the hidden sector to visible-sector fields in the superpotential satisfy a certain requirement.