\addvspace {10\p@ } \contentsline {table}{\numberline {1.1}{\ignorespaces Standard model forces}}{5}{table.1.1} \contentsline {table}{\numberline {1.2}{\ignorespaces Particle quantum numbers}}{7}{table.1.2} \contentsline {table}{\numberline {1.3}{\ignorespaces Coupling constant limits}}{9}{table.1.3} \contentsline {table}{\numberline {1.4}{\ignorespaces Muon decay asymmetry to polarization}}{13}{table.1.4} \addvspace {10\p@ } \contentsline {table}{\numberline {2.1}{\ignorespaces Muon stopping materials budget}}{42}{table.2.1} \contentsline {table}{\numberline {2.2}{\ignorespaces TEC related calibration files}}{45}{table.2.2} \contentsline {table}{\numberline {2.3}{\ignorespaces TEC alignment to solenoid yoke}}{53}{table.2.3} \addvspace {10\p@ } \contentsline {table}{\numberline {3.1}{\ignorespaces Energy calibration results for 2004 data and simulation}}{75}{table.3.1} \addvspace {10\p@ } \contentsline {table}{\numberline {4.1}{\ignorespaces Data set descriptions}}{83}{table.4.1} \contentsline {table}{\numberline {4.2}{\ignorespaces Nominal 2004 beamline settings}}{84}{table.4.2} \contentsline {table}{\numberline {4.3}{\ignorespaces Double exponential fit to 2002 data}}{86}{table.4.3} \contentsline {table}{\numberline {4.4}{\ignorespaces Results of 2005 data solenoid field change}}{88}{table.4.4} \contentsline {table}{\numberline {4.5}{\ignorespaces Mean and RMS changes in several experimental variables}}{89}{table.4.5} \contentsline {table}{\numberline {4.6}{\ignorespaces Average DC foil bulge in 2004 data sets}}{91}{table.4.6} \addvspace {10\p@ } \addvspace {10\p@ } \contentsline {table}{\numberline {6.1}{\ignorespaces Table of systematic uncertainties}}{102}{table.6.1} \contentsline {table}{\numberline {6.2}{\ignorespaces Beam polarization polynomial parameters}}{108}{table.6.2} \contentsline {table}{\numberline {6.3}{\ignorespaces Average beam positions and angles from TEC measurements}}{108}{table.6.3} \contentsline {table}{\numberline {6.4}{\ignorespaces Beam polarization systematic uncertainties}}{108}{table.6.4} \contentsline {table}{\numberline {6.5}{\ignorespaces Fraction of background muon stops}}{120}{table.6.5} \contentsline {table}{\numberline {6.6}{\ignorespaces Energy calibration sensitivities and systematic uncertainties}}{125}{table.6.6} \contentsline {table}{\numberline {6.7}{\ignorespaces Hard and intermediate interactions versus muon stopping location}}{131}{table.6.7} \contentsline {table}{\numberline {6.8}{\ignorespaces Set-dependent systematic uncertainties}}{134}{table.6.8} \addvspace {10\p@ } \contentsline {table}{\numberline {7.1}{\ignorespaces Table of blind fit results}}{138}{table.7.1} \contentsline {table}{\numberline {7.2}{\ignorespaces Spectrum fit parameter correlations}}{141}{table.7.2} \contentsline {table}{\numberline {7.3}{\ignorespaces Spectrum fit parameter correlations (P$_{\mu }\xi ${},$\delta $)}}{141}{table.7.3} \contentsline {table}{\numberline {7.4}{\ignorespaces Table of blind fit results for $\rho $ and $\delta $}}{142}{table.7.4} \contentsline {table}{\numberline {7.5}{\ignorespaces Fit consistency results}}{143}{table.7.5} \addvspace {10\p@ } \addvspace {10\p@ }