Abstract
We discuss the Higgs boson mass sum rules in the minimal supersymmetric standard model (MSSM) in order to estimate the upper limits on the masses of top squarks as well as the lower bounds on the masses of the scalar Higgs boson state. The bounds on the scale of quark-lepton compositeness derived from the CDF Collaboration (Fermilab Tevatron) data and applied to the new extra gauge boson search are taken into account. These extra gauge bosons are considered in the framework of the extended $\mathrm{SU}{(2)}_{h}\ifmmode\times\else\texttimes\fi{}\mathrm{SU}{(2)}_{l}$ model. In addition, we discuss the physics of rare decays of MSSM Higgs bosons in both CP-even and CP-odd sectors and also some extra gauge bosons.
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