Abstract
We extend the Standard Model gauge group by a gauged U(1) R R-Symmetry or a gauged U(1)′. The requirement of cancellation of anomalies is very constraining but can be achieved by adding three or four hidden-sector fields which are Standard Model singlets. The U(1) R or U(1)′ quantum numbers of these singlets are usually large producing a non-renormalisable superpotential with a high power in the singelt fields. We have minimized the supergravity scalar potential and have found solutions where the vacuum expectation values of all hidden-sector singlet fields are less than the Planck mass < z m > = O( M Pl 10 ) . This produces the small supersymmetry scale of order the weak scale from only the Planck scale. The mu problem is simultaneously solved in this manner. This work has been published in Phys. Lett. B 389 (1996) 533–537; hep-ph/9607261.
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