\contentsline {section}{\numberline {1}Introduction}{4} \contentsline {section}{\numberline {2}Beam properties}{6} \contentsline {subsection}{\numberline {2.1}Interaction rates}{7} \contentsline {subsection}{\numberline {2.2}Tau neutrino interactions}{12} \contentsline {subsection}{\numberline {2.3}Systematic uncertainties on the muon beam and neutrino flux}{12} \contentsline {subsection}{\numberline {2.4}Event distributions at a near site}{13} \contentsline {section}{\numberline {3}Oscillation physics}{17} \contentsline {subsection}{\numberline {3.1}Theoretical framework}{17} \contentsline {subsubsection}{\numberline {3.1.1}Neutrino Oscillations in Vacuum}{18} \contentsline {subsubsection}{\numberline {3.1.2}Three Active Neutrinos Only}{19} \contentsline {subsubsection}{\numberline {3.1.3}Three Active Flavor Oscillation Scenarios}{22} \contentsline {subsubsection}{\numberline {3.1.4}Three Active and One Sterile Neutrinos}{24} \contentsline {subsubsection}{\numberline {3.1.5}Scenarios with Three Active plus One Sterile Neutrino}{27} \contentsline {subsection}{\numberline {3.2}Where will we be in 5-10 years ?}{28} \contentsline {subsubsection}{\numberline {3.2.1}$\nu _\mu \rightarrow \nu _\tau $, $\nu _s$}{28} \contentsline {subsubsection}{\numberline {3.2.2}$\nu _\mu \leftrightarrow \nu _e$}{30} \contentsline {subsubsection}{\numberline {3.2.3}$\nu _e \rightarrow \nu _\mu $, $\nu _\tau $, $\nu _s$}{31} \contentsline {subsection}{\numberline {3.3}The neutrino factory oscillation physics program}{34} \contentsline {subsection}{\numberline {3.4}Detector considerations}{36} \contentsline {subsubsection}{\numberline {3.4.1}Muon identification and measurement}{38} \contentsline {subsubsection}{\numberline {3.4.2}$\tau $--lepton identification and measurement}{41} \contentsline {subsubsection}{\numberline {3.4.3}A Liquid Argon neutrino detector}{42} \contentsline {subsubsection}{\numberline {3.4.4}A magnetized Steel/Scintillator neutrino detector}{43} \contentsline {subsubsection}{\numberline {3.4.5}A Water Cerenkov detector}{47} \contentsline {subsubsection}{\numberline {3.4.6}Specialized $\tau $--lepton detectors}{49} \contentsline {subsubsection}{\numberline {3.4.7}Detector summary}{52} \contentsline {subsection}{\numberline {3.5}Oscillation measurements}{54} \contentsline {subsubsection}{\numberline {3.5.1}Observation of $\nu _e \rightarrow \nu _\mu $ oscillations and the pattern of neutrino masses}{54} \contentsline {subsubsection}{\numberline {3.5.2}Observation of $\nu _e \rightarrow \nu _\tau $ oscillations}{58} \contentsline {subsubsection}{\numberline {3.5.3}Measurement of $\nu _\mu \rightarrow \nu _\tau $ oscillations}{61} \contentsline {subsubsection}{\numberline {3.5.4}Determination of $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2\theta _{13}$, $\mathop {\mathgroup \symoperators sin}\nolimits ^2 2\theta _{23}$, and $\delta m^2_{32}$}{62} \contentsline {subsubsection}{\numberline {3.5.5}Search for CP violation}{72} \contentsline {subsection}{\numberline {3.6}Summary}{76} \contentsline {subsection}{\numberline {3.7}Structure function measurements at a neutrino factory}{82} \contentsline {subsection}{\numberline {3.8}Perturbative QCD}{83} \contentsline {subsection}{\numberline {3.9}Nuclear Effects}{84} \contentsline {subsection}{\numberline {3.10}Spin Structure}{86} \contentsline {subsection}{\numberline {3.11}Experimental Setup at the Neutrino Factory}{89} \contentsline {subsection}{\numberline {3.12}Charm Production and $D^0- \overline {D}^0$ Mixing}{90} \contentsline {subsection}{\numberline {3.13}Neutrino Magnetic Moments}{100} \contentsline {section}{\numberline {4}Summary}{105}