A New Mechanism to Solve the Small Scale Problem of Local Supersymmetry

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We extend the Standard Model gauge group by a 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 Standrad 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 <zₘ>=O(MPl/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.