Abstract
We study the characteristic features of a hypothetical candidate for the new scalar field χ. The mass constraint under which such a χ-boson occurs is presented. The instability of weak vacuum is investigated. By considering the approximate breaking symmetry, we find that the massmχ<15 GeV of the χ-particle is unnatural. In the case of heavy enough top-quark mass,mtop ∼ 170 GeV (the recent CDF collaboration has reportedmtopexp=(174±16) GeV), we obtained that the physically acceptable χ-boson upper bound will not exceed the 1 TeV level. For certain values ofmtop andmχ the one-loop approximation leads to the fact that the physical (our) vacuum cannot be absolutely stable.
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