Abstract
This dissertation presents the first measurement of top quark pair production cross-section in events containing a muon and a tau lepton. The measurement was done with 1 fb-1 of data collected during April 2002 through February 2006 using the D0 detector at the Tevatron proton-antiproton collider, located at Fermi National Accelerator Laboratory (Fermilab), Batavia, Illinois. Events containing one isolated muon, one tau which decays hadronically, missing transverse energy, and two or more jets (at least one of which must be tagged as a heavy flavor jet) were selected. Twenty-nine candidate events were observed with an expected background of 9.16 events. The top quark pair production cross-section is measured to be σ(t$\bar{t}$) = 8.0$+2.8\atop{-2.4}$(stat)$+1.8\atop{ -1.7}$(syst) ± 0.5(lumi) pb. Assuming a top quark pair production cross-section of 6.77 pb for Monte Carlo signal top events without a real tau, the measured σ x BR is σ(t$\bar{t}$) x BR(t$\bar{t}$ → μ + τ + 2v + 2b) = 0.18$+0.13\atop{-0.11}$(stat)$+0.09\atop{-0.09}$(syst) ± 0.01(lumi) pb.
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