Precise Measurement of Neutrino and Anti-neutrino Differential Cross Sections on Iron

This thesis will present a precise measurement of the differentialcross section for charged current neutrino and anti-neutrino scatteringfrom iron. The NuTeV experiment took data during 1996-97 and collected $8.6imes10^5$ $u$ and $2.4imes10^5$ $overline{u}$ charged-current (CC) interactions. The experiment combines sign-selected neutrino andantineutrino beams and the upgraded CCFR iron-scintillator neutrinodetector. A precision continuous calibration beam was used to determinethe muon and hadron energy scales to a precision of about a factor of two better thanprevious experiments. The structure functions $F_2(x,Q^2)$ and $xF_3(x,Q^2)$ are extracted and compared with theory and previous measurements