Compositeness Condition and Vacuum Stability
Abstract
Description
We consider what occurs when we remove one of the compositeness conditions proposed by Bardeen, Hill and Lindner that leads to predictions for the top quark mass conflicting with the experimental value. Through this consideration the condition for the Higgs particle to be the composite particle is reconsidered. We show that in this case, (I) the Higgs-Yukawa system of the standard model becomes equivalent to a non-local four-fermi system at a high-energy scale $Λ$, (II) The Higgs-Yukawa sector of the model becomes useless above the scale because the vacuum state cannot be defined. We regard the two phenomena as indications of the compositeness of the Higgs particle. It is suggested that the new physics above $Λ$ contains bi-local fields.
26 pages, Latex file, 4 eps figures, a few mistake is corrected, several equations are simplified
26 pages, Latex file, 4 eps figures, a few mistake is corrected, several equations are simplified