The Hierarchy Problem and an Exotic Bound State

Abstract

The Multiple Point Principle, according to which there exist many vacuum states with the same energy density, is put forward as a fine-tuning mechanism. By assuming the existence of three degenerate vacua, we derive the hierarchical ratio between the fundamental (Planck) and electroweak scales in the Standard Model. In one of these phases, 6 top quarks and 6 anti-top quarks bind so strongly by Higgs exchange as to become tachyonic and form a condensate. The third degenerate vacuum is taken to have a Higgs field expectation value of the order of the fundamental scale.

Comments: 12 pages, 2 figures, to be published in the Proceedings of the 10th International Symposium on Particles, Strings and Cosmology (PASCOS04), Boston, 16-22 August 2004