A Closer Study of the Framed Standard Model Yielding Testable New Physics plus a Hidden Sector with Dark Matter Candidates

TL;DR

This study of the Framed Standard Model predicts a new TeV-scale vector boson and a hidden sector with potential dark matter candidates, explaining fermion generations, mass hierarchies, and mixing deviations from the Standard Model.

Contribution

It introduces a testable extension of the Standard Model with a new vector boson and a hidden sector, providing explanations for fermion properties and dark matter candidates.

Findings

Predicts a TeV-scale vector boson G with detectable deviations in Z boson properties

Proposes a hidden sector with stable, neutral particles as dark matter candidates

Suggests experimental tests for deviations from Standard Model predictions

Abstract

This closer study of the FSM: [I] retains the earlier results in offering explanation for the existence of three fermion generations, as well as the hierarchical mass and mixing patterns of leptons and quarks; [II] predicts a vector boson $G$ with mass of order TeV which mixes with $\gamma$ and $Z$ of the standard model. The subsequent deviations from the standard mixing scheme are calculable in terms of the $G$ mass. While these deviations for (i) $m_Z - m_W$, (ii) $\Gamma(Z \rightarrow \ell^+ \ell^-)$, and (iii) $\Gamma(Z \rightarrow {\rm hadrons})$ are all within present experimental errors so long as $m_G > 1$ TeV, they should soon be detectable if the $G$ mass is not too much bigger; [III] suggests that in parallel to the standard sector familiar to us, there is another where the roles of flavour and colour are interchanged. Though quite as copiously populated and as vibrant in self-interactions as our own, it communicates but little with the standard sector except via mixing through a couple of known portals, one of which is the $\gamma-Z-G$ complex noted in [II] above, and the other is a scalar complex which includes the standard model Higgs. As a result, the new sector appears hidden to us as we appear hidden to them, and so its lowest members with masses of order 10 MeV, being electrically neutral and seemingly stable, but abundant, may make eligible candidates as constituents of dark matter. A more detailed summary of these results together with some remarks on the model's special theoretical features can be found in the last section of the text.