Abstract

It is proposed that the hierarchical scales — from M Planck to m v — have a common origin. Using M Planck and the coupling constant associated with a preonic metacolor gauge force as the only input parameters, it is shown how large ratios such as ( M P1 M I ), ( M P1 δm s ), ( M P1 m w ), ( M P1 m t ) and even ( M P1 m v )≳10 27 can arise naturally. Here M I denotes an intermediate scale ∼10 11 GeV, which is identified with the scale parameter of the metacolor force, while δm s denotes SUSY-breaking mass splittings ∼ 1 TeV. Local supersymmetry together with an inhibition in the breaking of global SUSY (index theorem) as well as compositeness of quarks, leptons and Higgs play crucial roles in this approach. Two key features of the model are the natural origins of composite vector-like families with masses of order of a few hundred GeV to 1 TeV and the consequent see-saw mechanism for the generations of quark-lepton masses and CP violation.

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