CAN THE SUPERSYMMETRIC MU-PARAMETER BE GENERATED DYNAMICALLY WITHOUT A LIGHT SINGLE

It is generally assumed that the dynamical generation of the Higgs mass parameter of the superpotential, mu, implies the existence of a light singlet at or below the supersymmetry breaking scale, M(SUSY). We present a counter-example in which the singlet field can receive an arbitrarily heavy mass (e.g., of the order of the Planck scale, M(P) almost-equal-to 10(19) GeV). In this example, a non-zero value of mu is generated through soft supersymmetry breaking parameters and is thus naturally of the order of M(SUSY).