Abstract

We briefly discuss why we are forced to use the Higgs–Kibble mechanism just, for example, to be able to "present" masses and what in this sense the so-called Higgs phenomenon really means. But, independent of this fact that we cannot calculate physical masses, we, in spite of this reality, briefly demonstrate presently available theoretical methods for understanding the top-Higgs-mass correlations, for example, especially since the discovery of the top quark at FNAL. It is possible that model-dependent ways, using SUSY and SUGRA models, for example, to overcome the so-called scale dependence (just from the Planck down to the Fermi scale), nonlinear realizations of SUSY and also the requirement of phase coexistence of the two minima of the effective potential with one-loop corrections and its degeneracy ("multiple point criticality principle"), might indicate that in this sense the existence of supersymmetry can be "partially" ruled out. In this context the top-Higgs-mass spectrum belongs neither to the SM nor to SUSY. Also, the loss of quantum coherence, which is very small at low energies for everything except scalar fields, leads to the prediction that we may never observe the Higgs particle either.

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