Dynamical generation of hierarchy in GUTs with softly broken supersymmetry

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Abstract

Characteristic aspects of Dimopoulos-Georgi's mechanism for the hierarchy are investigated in a “semi-realistic” SU(5) model by employing the renormalization group method. The hierarchy is really generated in a “sick” theory by quantum resuscitation without any fine tuning of the coupling constants atMW ≈ 102GeV. It can also be realized in a “normal” theory by choosing the coupling constants suitably. In the latter case, the effective potential has two minima atX = 0 andMG. Some suggestions are presented for constructing a realistic model.

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