A search for z boson pair production at the Fermilab Tevatron Collider

This dissertation describes a search for Z/γ* boson pair production decaying into μμμμ, μμee, and eeee final states with approximately 1 fb-1 of data at the Fermilab Tevatron Collider at √s = 1.96 TeV. The small cross section times branching ratio for each channel mandated a thorough study of the acceptance and efficiencies. After optimization, 1.7 ± 0.1 events are expected for Standard Model production with a background of 0.13 ± 0.03 events. One event was found in the μμee channel. A cross section limit of 4.4 pb is determined at a 95% confidence level for Standard Model production. Additionally, one parameter and two parameter 95% C.L. limits are found for the anomalous neutral trilinear gauge couplings ZZZ* and ZZγ*. The one parameter 95% C.L. coupling limits with a form factor scale of 1.2 TeV are: -0.28 < f40Z < 0.28, -0.31 < f50Z < 0.29, -0.26 < f40γ < 0.26, and -0.30 < f50γ < 0.28