The Weak-Scale Hierarchy and Discrete Symmetries

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, LATEX, 1 figures(not included, available on request by fax or Postscript file)

Scientific paper

10.1143/PTP.95.191

In the underlying Planck scale theory we introduce a certain type of discrete symmetry, which potentially brings the stability of the weak-scale hierarchy under control. Under the discrete symmetry the $\mu $-problem and the tadpole problem can be solved simultaneously without relying on some fine-tuning of parameters. Instead, it is required that doublet Higgs and color-triplet Higgs fields reside in different irreducible representations of the gauge symmetry group at the Planck scale and that they have distinct charges of the discrete symmetry group.

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