Low energy supersymmetry with a neutralino LSP and the CDFeeγγ+ETevent

We present a refined and expanded analysis of the CDF $\mathrm{ee}\gamma \gamma +E_T$ event as superpartner production, assuming the lightest neutralino is the lightest supersymmetric particle. A general low energy Lagrangian is constrained by a minimum cross section times branching ratio into two electrons and two photons, kinematics consistent with the event, and LEP 1–LEP 130 data. We examine how the supersymmetric parameters depend on the kinematics, branching ratios, and experimental predictions with a selectron interpretation of the event, and discuss to what extent these are modified by other interpretations. Predictions for imminent CERN LEP upgrades and the present and future Fermilab Tevatron are presented. Finally, we briefly discuss the possible connection to other phenomena including a light top squark, the neutralino relic density, the shift in $R_b$, and the associated shift in ${\alpha }_s,$ and implications for the form of the theory.