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

Abstract

We extend the Standard Model gauge group by a a gauged $U(1{)}_R$ R-Symmetry or a gauged $U(1{)}^{\prime }$. 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 $U(1{)}^{\prime }$ 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.

8 pages, LaTex, no figures

References in corpus (3)

• Anomaly-Free Gauged R-Symmetry in Local Supersymmetry
• Consequences of Supergravity with Gauged $\mathrm{U}(1{)}_{\mathrm{R}}$ Symmetry
• Anomaly-Free Gauged $U(1{)}^{\prime }$ in Local Supersymmetry and Baryon-Number Violation

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• Anomalous U(1) symmetry and lepton flavor violation
• General NMSSM signatures at the LHC
• Fermion Mass Hierarchy and Electric Dipole Moments
• Gravitino Zero Modes on U(1)_R Strings