\addvspace {10\p@ }
\contentsline {figure}{\numberline {1.1}{\ignorespaces Picture of muon production and decay}}{4}{figure.1.1}
\contentsline {figure}{\numberline {1.2}{\ignorespaces Muon decay positron spectrum}}{11}{figure.1.2}
\contentsline {figure}{\numberline {1.3}{\ignorespaces Spin 1/2}}{15}{figure.1.3}
\contentsline {figure}{\numberline {1.4}{\ignorespaces Pion decay helicity conservation}}{17}{figure.1.4}
\contentsline {figure}{\numberline {1.5}{\ignorespaces Muon and positron stopping power}}{19}{figure.1.5}
\contentsline {figure}{\numberline {1.6}{\ignorespaces Manifest left-right symmetric model limits}}{23}{figure.1.6}
\contentsline {figure}{\numberline {1.7}{\ignorespaces Left-right symmetric model limits}}{24}{figure.1.7}
\addvspace {10\p@ }
\contentsline {figure}{\numberline {2.1}{\ignorespaces TRIUMF cyclotron conceptual drawing}}{26}{figure.2.1}
\contentsline {figure}{\numberline {2.2}{\ignorespaces TRIUMF M13 beamline}}{27}{figure.2.2}
\contentsline {figure}{\numberline {2.3}{\ignorespaces TRIUMF M13 resolution}}{28}{figure.2.3}
\contentsline {figure}{\numberline {2.4}{\ignorespaces Production target}}{29}{figure.2.4}
\contentsline {figure}{\numberline {2.5}{\ignorespaces The $\cal TWIST${} spectrometer}}{30}{figure.2.5}
\contentsline {figure}{\numberline {2.6}{\ignorespaces Measured magnetic field}}{32}{figure.2.6}
\contentsline {figure}{\numberline {2.7}{\ignorespaces Solenoid magnetic field match}}{33}{figure.2.7}
\contentsline {figure}{\numberline {2.8}{\ignorespaces $\cal TWIST${} cradle side view}}{34}{figure.2.8}
\contentsline {figure}{\numberline {2.9}{\ignorespaces DC chamber end view}}{36}{figure.2.9}
\contentsline {figure}{\numberline {2.10}{\ignorespaces DC efficiency versus high voltage}}{37}{figure.2.10}
\contentsline {figure}{\numberline {2.11}{\ignorespaces Muon stopping target}}{40}{figure.2.11}
\contentsline {figure}{\numberline {2.12}{\ignorespaces Beam package}}{41}{figure.2.12}
\contentsline {figure}{\numberline {2.13}{\ignorespaces Schematic of a TEC module }}{43}{figure.2.13}
\contentsline {figure}{\numberline {2.14}{\ignorespaces Photograph of TEC}}{44}{figure.2.14}
\contentsline {figure}{\numberline {2.15}{\ignorespaces The collimator}}{46}{figure.2.15}
\contentsline {figure}{\numberline {2.16}{\ignorespaces TEC STR correction}}{47}{figure.2.16}
\contentsline {figure}{\numberline {2.17}{\ignorespaces TEC efficiency versus drift distance}}{48}{figure.2.17}
\contentsline {figure}{\numberline {2.18}{\ignorespaces TEC drift time versus gas temperature}}{49}{figure.2.18}
\contentsline {figure}{\numberline {2.19}{\ignorespaces Resolution of TEC track fitting}}{50}{figure.2.19}
\contentsline {figure}{\numberline {2.20}{\ignorespaces Effect of the solenoid field on the muon beam}}{52}{figure.2.20}
\contentsline {figure}{\numberline {2.21}{\ignorespaces Muon beam as seen by TEC}}{54}{figure.2.21}
\contentsline {figure}{\numberline {2.22}{\ignorespaces Trigger logic}}{55}{figure.2.22}
\addvspace {10\p@ }
\contentsline {figure}{\numberline {3.1}{\ignorespaces Time windowing}}{60}{figure.3.1}
\contentsline {figure}{\numberline {3.2}{\ignorespaces Event type distribution}}{64}{figure.3.2}
\contentsline {figure}{\numberline {3.3}{\ignorespaces Hit clustering}}{68}{figure.3.3}
\contentsline {figure}{\numberline {3.4}{\ignorespaces Fit efficiency vs momentum and $\mathop {\mathgroup \symoperators cos}\nolimits {\theta }$}}{71}{figure.3.4}
\contentsline {figure}{\numberline {3.5}{\ignorespaces End point model function}}{72}{figure.3.5}
\contentsline {figure}{\numberline {3.6}{\ignorespaces End point fits}}{73}{figure.3.6}
\contentsline {figure}{\numberline {3.7}{\ignorespaces Energy calibration correlations in 2004 data and simulation}}{74}{figure.3.7}
\contentsline {figure}{\numberline {3.8}{\ignorespaces Time averaged P$_{\mu }$ versus TCAP cut}}{77}{figure.3.8}
\contentsline {figure}{\numberline {3.9}{\ignorespaces Event and track selection cut probabilities}}{79}{figure.3.9}
\contentsline {figure}{\numberline {3.10}{\ignorespaces Event and track selection cut distributions}}{80}{figure.3.10}
\contentsline {figure}{\numberline {3.11}{\ignorespaces Muon decay positron fiducial cuts}}{82}{figure.3.11}
\addvspace {10\p@ }
\contentsline {figure}{\numberline {4.1}{\ignorespaces Double exponential depolarization in 2002 data}}{87}{figure.4.1}
\contentsline {figure}{\numberline {4.2}{\ignorespaces Results of 2005 data solenoid field change}}{88}{figure.4.2}
\contentsline {figure}{\numberline {4.3}{\ignorespaces Data and Simulation muon stopping distributions}}{90}{figure.4.3}
\addvspace {10\p@ }
\contentsline {figure}{\numberline {5.1}{\ignorespaces Radiative corrections}}{93}{figure.5.1}
\contentsline {figure}{\numberline {5.2}{\ignorespaces Beam positron rate estimates}}{94}{figure.5.2}
\contentsline {figure}{\numberline {5.3}{\ignorespaces Upstream muon stops $\Delta p \mathop {\mathgroup \symoperators cos}\nolimits {\theta }$ from the data and simulation}}{99}{figure.5.3}
\contentsline {figure}{\numberline {5.4}{\ignorespaces Upstream muon stops $\Delta \theta $ from the data and simulation}}{100}{figure.5.4}
\addvspace {10\p@ }
\contentsline {figure}{\numberline {6.1}{\ignorespaces Simulation and data beam comparison}}{106}{figure.6.1}
\contentsline {figure}{\numberline {6.2}{\ignorespaces Fringe field sensitivity simulation scan}}{107}{figure.6.2}
\contentsline {figure}{\numberline {6.3}{\ignorespaces Systematic effect of TEC angle deconvolution}}{110}{figure.6.3}
\contentsline {figure}{\numberline {6.4}{\ignorespaces Muon beam size in TEC and at stopping target}}{111}{figure.6.4}
\contentsline {figure}{\numberline {6.5}{\ignorespaces Simulation of muon stopping location}}{115}{figure.6.5}
\contentsline {figure}{\numberline {6.6}{\ignorespaces PC6 fractions of muons stopping in materials}}{116}{figure.6.6}
\contentsline {figure}{\numberline {6.7}{\ignorespaces Material depolarization correction}}{117}{figure.6.7}
\contentsline {figure}{\numberline {6.8}{\ignorespaces Material depolarization sign of correction}}{118}{figure.6.8}
\contentsline {figure}{\numberline {6.9}{\ignorespaces Background muon contamination estimate}}{119}{figure.6.9}
\contentsline {figure}{\numberline {6.10}{\ignorespaces NDOF versus momentum and angle}}{124}{figure.6.10}
\contentsline {figure}{\numberline {6.11}{\ignorespaces Comparison of $\Delta p \mathop {\mathgroup \symoperators cos}\nolimits {\theta }$ versus p in data and simulation}}{128}{figure.6.11}
\contentsline {figure}{\numberline {6.12}{\ignorespaces Hard and intermediate interaction effects}}{129}{figure.6.12}
\contentsline {figure}{\numberline {6.13}{\ignorespaces Hard and intermediate interaction effects on $P_{\mu }\xi $}}{130}{figure.6.13}
\contentsline {figure}{\numberline {6.14}{\ignorespaces Backscatters from material outside the detector}}{132}{figure.6.14}
\addvspace {10\p@ }
\contentsline {figure}{\numberline {7.1}{\ignorespaces Spectrum fit for $\Delta P_{\mu } \xi $ without fringe field correction}}{136}{figure.7.1}
\contentsline {figure}{\numberline {7.2}{\ignorespaces Spectrum fit of 2004 data to production simulation for $\Delta P_{\mu }\xi $}}{137}{figure.7.2}
\contentsline {figure}{\numberline {7.3}{\ignorespaces $\Delta P_{\mu } \xi $ from 2004 data to simulation fits with all corrections applied}}{139}{figure.7.3}
\contentsline {figure}{\numberline {7.4}{\ignorespaces Spectrum fit residuals}}{140}{figure.7.4}
\contentsline {figure}{\numberline {7.5}{\ignorespaces Measured values of $P_{\mu }\xi $ for each set}}{144}{figure.7.5}
\contentsline {figure}{\numberline {7.6}{\ignorespaces Values $\rho $ and $\delta $ in each fit for $P_{\mu }\xi $}}{145}{figure.7.6}
\contentsline {figure}{\numberline {7.7}{\ignorespaces Limits on LRS models from measured $P_{\mu }\xi $}}{146}{figure.7.7}
\addvspace {10\p@ }
\addvspace {10\p@ }