Nonrenormalizable couplings in supergravity-coupled supersymmetric theories can give rise to power-law divergences that destabilize the weak-scale hierarchy. For the case of the standard-model gauge group, the problem can arise in theories with SU(3)×{}SU(2)×{}U(1) gauge-singlet chiral superfluids. The minimal supersymmetric standard model is free from such destabilizing divergences.
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Bagger et al. (1993) studied this question.
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