Three Higgs-related predictions, including $Z^0 \rightarrow $ new spin 1/2 particles

A fundamental statistical picture that was proposed earlier is shown to lead to three predictions for scalar bosons $\phi _{b}$ that may be testable in the foreseeable future, perhaps at a 13 TeV LHC. The first is a modification of the propagators, and consequently of cross sections involving virtual processes. The second is an unrenormalized value near zero for the self-coupling coefficient $\lambda_b $. The third is an extra term in the Lagrangian with the form \begin{eqnarray} {\mathcal L}_{\chi }= - \chi _{b}^{\dag } \, \phi _{b}^{\dag }\left( x\right) \sigma ^{k} B_{k} \, \phi _{b}\left( x\right) \chi _{b} \quad , \quad B_{k}=-\frac{1}{2}F_{k^{\prime }k^{\prime \prime }}\epsilon ^{k^{\prime }k^{\prime \prime }}\,_{k} \quad , \quad k=1,2,3 \; . \nonumber \end{eqnarray} With $\chi _{b}$ taken to transform as a spinor, this term is invariant under a rotation, but not under a Lorentz boost. There is then a violation of Lorentz invariance, associated with the new ``spinon'' field $\chi _{b}$ and isolated in the term involving this field. This term also predicts new spin 1/2 particles which can be produced in pairs. For example, a sufficiently energetic Z$^0$ can decay to 2 Higgs-related spinons in the presence of a neutral Higgs condensate.