Geometrical hierarchies in classical supergravity


We introduce a N=1N=1 supergravity model with a very simple hidden sector coupled to the electroweak gauge and Higgs sectors of the MSSM. At the classical level, supersymmetry and SU(2)×U(1)SU(2)\times U(1) are both spontaneously broken, with vanishing vacuum energy. Two real flat directions control the two symmetry-breaking scales m3/2m_{3/2} and mZm_Z. The two massless scalars are a gauge singlet and the standard Higgs boson. All other unobserved particles have masses of order m3/2m_{3/2}. This may be a new starting point for studying the compatibility of naturalness with the observed mass hierarchies.Comment: 5 pages, no figure

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