Summary: We discuss a generalization of the minimal supersymmetric extension of the Standard Model in the form of three additional singlet superfields, which would explain the essential features of the CDF multi-muon events presented recently: a large production cross section of \(\sim 100 \, {\text{pb}}\) originates from the production of a CP-odd scalar \(A\) with a mass in the 70–80 GeV range and a large value of \(\tan \beta \sim 40\).
The CP-odd scalar \(A\) decays dominantly into CP-odd and CP-even scalars \(a_1\) and \(h_1\), which generate decay cascades \(h_{1} \to 2h_{2} \to 4a_{2} \to 8 \tau\), and \(a_{1} \to h_{1} a_2\) with \(h_1\) decaying as above. The decay \(a_{2} \to \tau^{+} \tau^{-}\) is slow, leading to a lifetime of \(\mathcal{O} (20)\). The phenomenology of the model differs from similar scenarios presented before in that one of the two cascades leads to 10 instead of 8 \(\tau\)-leptons, and additional production processes like associate \(A\) production with \(b \overline{b}\) pairs are relevant.