Abstract
We present a supersymmetricSU(5)×U(1) model. This model has the following features. The gauge hierarchy is naturally generated by the quadratically divergent nature of the Fayet-IliopoulosD term. TheSU(5)×U(1) gauge symmetry breaks uniquely intoSU(3) W ×SU(2) c ×U(1) y at an energy scale of 1017–18GeV. The non-vanishing vacuum expectation value of an auxiliary field component ofU(1) gauge vector multiplet induces the breaking ofSU(2) W ×U(1) y . It gives a mass of 102–3GeV to scalar quarks and scalar leptons at the tree level. The renormalization group analysis shows that the color fine structure constant α C (M W ) becomes somewhat small and the Weinberg angle sin2θ W (M W ) somewhat too large in a simple version of the model.
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