N=1 supergravity theories with gravitational mass scales

Physics

Scientific paper

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Supergravity, Supersymmetry

Scientific paper

We discuss theories in which the grand unification gauge group and supersymmetry are both spontaneously broken in the same sector. It is shown that all such theories naturally have light SU(3)C-octet, SU(2)L-triplet, and U(1)Y-singlet chiral superfields with masses the order of the gravitino mass. The breaking of SU(2)L×U(1)Y to U(1)EM by one-loop radiative corrections is studied in detail. We show that this breaking can be driven by arbitrarily small values of the top-quark mass mt. The octet and triplet superfields substantially reduce the prediction for mt, making a light top quark more natural.

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