Hierarchy Problem and a new Bound State

Abstract

Instead of solving the fine-tuning problems by some automatic method or by cancelling the quadratic divergencies in the hierarchy problem by a symmetry (such as SUSY), we rather propose to look for a unification of the different fine-tuning problems. Our unified fine-tuning postulate is the so-called Multiple Point Principle, according to which there exist many vacuum states with approximately the same energy density (cosmological constant). Our main point here is to suggest a scenario, using only the pure Standard Model, in which an exponentially large ratio of the electroweak scale to the Planck scale results. This huge scale ratio occurs due to the required degeneracy of three suggested vacuum states. The scenario is built on the hypothesis that a bound state formed from 6 top and 6 anti-top quarks, held together mainly by Higgs particle exchange, is so strongly bound that it can become tachyonic and condense in one of the three suggested vacua. If we live in this vacuum, the new bound state would be seen via its mixing with the Higgs particle. It would have essentially the same decay branching ratios as a Higgs particle of the same mass, but the total lifetime and production rate would deviate from those of a genuine Higgs particle. Possible effects on the rho parameter are discussed.

22 pages, to be published in the Proceedings of the Euresco Conference on What comes beyond the Standard Model? Symmetries beyond the Standard Model, Portoroz, Slovenia, 12-17 July 2003; minor typos and references corrected

References in corpus (4)

• Standard Model Higgs Boson Mass from Borderline Metastability of the Vacuum
• Trying to understand the Standard Model parameters
• Conformally Invariant Braneworld and the Cosmological Constant
• The Problem of Mass

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• Cosmological constant in SUGRA models with Planck scale SUSY breaking and degenerate vacua
• Topological Structure of the Vacuum, Cosmological Constant and Dark Energy
• A New Bound State $6t+6\bar{t}$ and the Fundamental-Weak Scale Hierarchy in the Standard Model
• F(750), We Miss You as a Bound State of 6 Top and 6 Antitop Quarks, Multiple Point Principle