\BOOKMARK [0][-]{chapter*.1}{Abstract}{} \BOOKMARK [0][-]{chapter*.2}{Contents}{} \BOOKMARK [0][-]{chapter*.3}{List of Tables}{} \BOOKMARK [0][-]{chapter*.4}{List of Figures}{} \BOOKMARK [0][-]{chapter*.5}{Acknowledgements}{} \BOOKMARK [-1][-]{part.1}{I Introduction, Physics Motivation and Apparatus}{} \BOOKMARK [0][-]{chapter.1}{Introductory Topics}{part.1} \BOOKMARK [1][-]{section.1.1}{Discovery of the Muon}{chapter.1} \BOOKMARK [1][-]{section.1.2}{Muon Production}{chapter.1} \BOOKMARK [1][-]{section.1.3}{The Standard Model of Particle Physics}{chapter.1} \BOOKMARK [2][-]{subsection.1.3.1}{Elementary Particles}{section.1.3} \BOOKMARK [2][-]{subsection.1.3.2}{Quantum Chromodynamics}{section.1.3} \BOOKMARK [2][-]{subsection.1.3.3}{Electroweak Interaction}{section.1.3} \BOOKMARK [1][-]{section.1.4}{Muon Decay}{chapter.1} \BOOKMARK [2][-]{subsection.1.4.1}{General Four-Fermion Point Interaction }{section.1.4} \BOOKMARK [2][-]{subsection.1.4.2}{Previous P Measurements}{section.1.4} \BOOKMARK [2][-]{subsection.1.4.3}{Muon Decay Asymmetry in Angle \(MDAA\)}{section.1.4} \BOOKMARK [1][-]{section.1.5}{Brief Review of Muon Spin}{chapter.1} \BOOKMARK [2][-]{subsection.1.5.1}{Basics of Spin of Leptons }{section.1.5} \BOOKMARK [2][-]{subsection.1.5.2}{Quantization of Spin }{section.1.5} \BOOKMARK [2][-]{subsection.1.5.3}{Motion of Spin in a Uniform External Magnetic Field }{section.1.5} \BOOKMARK [2][-]{subsection.1.5.4}{Surface Muon Spin}{section.1.5} \BOOKMARK [2][-]{subsection.1.5.5}{The Bargman-Michel-Telegdi Equation}{section.1.5} \BOOKMARK [1][-]{section.1.6}{Energy Loss and Muon Depolarization }{chapter.1} \BOOKMARK [1][-]{section.1.7}{Physics Motivation}{chapter.1} \BOOKMARK [2][-]{subsection.1.7.1}{Model Independent Tests }{section.1.7} \BOOKMARK [2][-]{subsection.1.7.2}{Left-Right Symmetric Model Tests }{section.1.7} \BOOKMARK [0][-]{chapter.2}{Apparatus}{part.1} \BOOKMARK [1][-]{section.2.1}{TRIUMF Cyclotron and Muon Production}{chapter.2} \BOOKMARK [1][-]{section.2.2}{Muon Beam Selection with M13}{chapter.2} \BOOKMARK [2][-]{subsection.2.2.1}{Muon Production Target}{section.2.2} \BOOKMARK [1][-]{section.2.3}{TWIST Spectrometer}{chapter.2} \BOOKMARK [1][-]{section.2.4}{Solenoid Magnet and Iron Yoke}{chapter.2} \BOOKMARK [1][-]{section.2.5}{Cradle and Chamber Spacing}{chapter.2} \BOOKMARK [1][-]{section.2.6}{Drift Chambers and TWIST Coordinates}{chapter.2} \BOOKMARK [1][-]{section.2.7}{Proportional Chambers}{chapter.2} \BOOKMARK [1][-]{section.2.8}{DC and PC Calibrations}{chapter.2} \BOOKMARK [1][-]{section.2.9}{Gas System}{chapter.2} \BOOKMARK [1][-]{section.2.10}{Muon Stopping Target}{chapter.2} \BOOKMARK [1][-]{section.2.11}{Beam Package and Muon Ranging}{chapter.2} \BOOKMARK [1][-]{section.2.12}{Time Expansion Chamber and Beam Characterization}{chapter.2} \BOOKMARK [2][-]{subsection.2.12.1}{TEC Basic Layout}{section.2.12} \BOOKMARK [2][-]{subsection.2.12.2}{TEC Calibration and Performance}{section.2.12} \BOOKMARK [2][-]{subsection.2.12.3}{Uncertainties in TEC Measurements}{section.2.12} \BOOKMARK [2][-]{subsection.2.12.4}{Muon Beam as Seen by the TEC}{section.2.12} \BOOKMARK [1][-]{section.2.13}{Electronics and Trigger Logic}{chapter.2} \BOOKMARK [-1][-]{part.2}{II Analysis, Data, Simulation, and Systematic Effects}{} \BOOKMARK [0][-]{chapter.3}{Michel Spectrum Analysis Strategy}{part.2} \BOOKMARK [1][-]{section.3.1}{Analysis Flow}{chapter.3} \BOOKMARK [1][-]{section.3.2}{Unpacking}{chapter.3} \BOOKMARK [1][-]{section.3.3}{Pattern Recognition and Event Classification}{chapter.3} \BOOKMARK [2][-]{subsection.3.3.1}{Calculating TDC Hit Statistics in Bins of Time}{section.3.3} \BOOKMARK [2][-]{subsection.3.3.2}{Set Window Times}{section.3.3} \BOOKMARK [2][-]{subsection.3.3.3}{Look for Outlier Noise Hits at Large Radius}{section.3.3} \BOOKMARK [2][-]{subsection.3.3.4}{Calculate TDC Hit Statistics in Window Times}{section.3.3} \BOOKMARK [2][-]{subsection.3.3.5}{Assign Hits to the Window Structure}{section.3.3} \BOOKMARK [2][-]{subsection.3.3.6}{Decide on Overall Event Type}{section.3.3} \BOOKMARK [1][-]{section.3.4}{Clustering}{chapter.3} \BOOKMARK [1][-]{section.3.5}{Track Fitting}{chapter.3} \BOOKMARK [2][-]{subsection.3.5.1}{Initial Estimate}{section.3.5} \BOOKMARK [2][-]{subsection.3.5.2}{Helix Fitting}{section.3.5} \BOOKMARK [1][-]{section.3.6}{Energy Calibration}{chapter.3} \BOOKMARK [2][-]{subsection.3.6.1}{Endpoint Energy Calibration Method}{section.3.6} \BOOKMARK [2][-]{subsection.3.6.2}{Endpoint Energy Calibration Results}{section.3.6} \BOOKMARK [2][-]{subsection.3.6.3}{Momentum Dependent Energy Calibration}{section.3.6} \BOOKMARK [1][-]{section.3.7}{Track Selection and Cuts}{chapter.3} \BOOKMARK [2][-]{subsection.3.7.1}{Tree Processing Code Description}{section.3.7} \BOOKMARK [2][-]{subsection.3.7.2}{Fiducial Cuts}{section.3.7} \BOOKMARK [0][-]{chapter.4}{Data}{part.2} \BOOKMARK [1][-]{section.4.1}{Data Sets}{chapter.4} \BOOKMARK [1][-]{section.4.2}{2002, 2003 and 2005 Data}{chapter.4} \BOOKMARK [1][-]{section.4.3}{ Results of 2005 Data Solenoid Field Change }{chapter.4} \BOOKMARK [1][-]{section.4.4}{Data Quality}{chapter.4} \BOOKMARK [0][-]{chapter.5}{Simulation}{part.2} \BOOKMARK [1][-]{section.5.1}{Muon Decay Spectrum and Radiative Corrections}{chapter.5} \BOOKMARK [1][-]{section.5.2}{Geometry}{chapter.5} \BOOKMARK [1][-]{section.5.3}{Chamber Response}{chapter.5} \BOOKMARK [1][-]{section.5.4}{Beam Input}{chapter.5} \BOOKMARK [1][-]{section.5.5}{Spin Tracking}{chapter.5} \BOOKMARK [1][-]{section.5.6}{Muon Depolarization in Material}{chapter.5} \BOOKMARK [2][-]{subsection.5.6.1}{Gaussian Depolarization}{section.5.6} \BOOKMARK [2][-]{subsection.5.6.2}{Exponential Depolarization}{section.5.6} \BOOKMARK [1][-]{section.5.7}{Validation}{chapter.5} \BOOKMARK [0][-]{chapter.6}{Systematic Uncertainty Descriptions and Estimates}{part.2} \BOOKMARK [1][-]{section.6.1}{Systematic Uncertainty Due to Muon Beam Characteristics and Polarization}{chapter.6} \BOOKMARK [2][-]{subsection.6.1.1}{Depolarization in the Muon Production Target }{section.6.1} \BOOKMARK [2][-]{subsection.6.1.2}{Depolarization in the Beamline Window Valve}{section.6.1} \BOOKMARK [2][-]{subsection.6.1.3}{Fringe Field Depolarization \(FFD\)}{section.6.1} \BOOKMARK [2][-]{subsection.6.1.4}{Muon Depolarization at the Stopping Location \(MDSL\)}{section.6.1} \BOOKMARK [2][-]{subsection.6.1.5}{Background Muon Contamination }{section.6.1} \BOOKMARK [2][-]{subsection.6.1.6}{Beam Intensity and Coincident Accidental Particles}{section.6.1} \BOOKMARK [2][-]{subsection.6.1.7}{Proton Beam Stability }{section.6.1} \BOOKMARK [1][-]{section.6.2}{Systematic Uncertainty Due to Chamber Response}{chapter.6} \BOOKMARK [2][-]{subsection.6.2.1}{Wire to Wire Time Variations}{section.6.2} \BOOKMARK [2][-]{subsection.6.2.2}{Chamber Foil Bulge}{section.6.2} \BOOKMARK [2][-]{subsection.6.2.3}{Chamber Cell Asymmetry}{section.6.2} \BOOKMARK [2][-]{subsection.6.2.4}{Density Variations}{section.6.2} \BOOKMARK [2][-]{subsection.6.2.5}{Muon Dead Zone}{section.6.2} \BOOKMARK [2][-]{subsection.6.2.6}{Upstream versus Downstream Efficiency}{section.6.2} \BOOKMARK [1][-]{section.6.3}{Systematic Uncertainty Due to Momentum Calibration}{chapter.6} \BOOKMARK [2][-]{subsection.6.3.1}{Endpoint Fits}{section.6.3} \BOOKMARK [2][-]{subsection.6.3.2}{Magnetic Field Map Accuracy}{section.6.3} \BOOKMARK [1][-]{section.6.4}{Systematic Uncertainty Due to Positron Interactions}{chapter.6} \BOOKMARK [2][-]{subsection.6.4.1}{Energy Loss}{section.6.4} \BOOKMARK [2][-]{subsection.6.4.2}{Hard and Intermediate Interactions }{section.6.4} \BOOKMARK [2][-]{subsection.6.4.3}{Multiple Scattering}{section.6.4} \BOOKMARK [2][-]{subsection.6.4.4}{Material Outside the Detector }{section.6.4} \BOOKMARK [2][-]{subsection.6.4.5}{Stopping Target Thickness}{section.6.4} \BOOKMARK [1][-]{section.6.5}{Systematic Uncertainty Due to Spectrometer Alignment}{chapter.6} \BOOKMARK [2][-]{subsection.6.5.1}{Longitudinal Alignment }{section.6.5} \BOOKMARK [2][-]{subsection.6.5.2}{Rotational Alignment}{section.6.5} \BOOKMARK [2][-]{subsection.6.5.3}{Magnetic Field Alignment}{section.6.5} \BOOKMARK [2][-]{subsection.6.5.4}{Translational Alignment}{section.6.5} \BOOKMARK [1][-]{section.6.6}{Set-Dependent Systematic Uncertainties}{chapter.6} \BOOKMARK [-1][-]{part.3}{III Results and Conclusion}{} \BOOKMARK [0][-]{chapter.7}{Results}{part.3} \BOOKMARK [1][-]{section.7.1}{Blind Fit Results}{chapter.7} \BOOKMARK [2][-]{subsection.7.1.1}{Blind Fit for P}{section.7.1} \BOOKMARK [2][-]{subsection.7.1.2}{Blind Fit Results for \040and }{section.7.1} \BOOKMARK [1][-]{section.7.2}{Consistency Check and Unblinding}{chapter.7} \BOOKMARK [2][-]{subsection.7.2.1}{ Consistency Check Results }{section.7.2} \BOOKMARK [2][-]{subsection.7.2.2}{ Uncertainty due to Eta }{section.7.2} \BOOKMARK [1][-]{section.7.3}{Final Results}{chapter.7} \BOOKMARK [2][-]{subsection.7.3.1}{Left-Right Symmetric Model Limits}{section.7.3} \BOOKMARK [0][-]{chapter.8}{Future Improvements and Conclusion}{part.3} \BOOKMARK [1][-]{section.8.1}{Future Improvements}{chapter.8} \BOOKMARK [1][-]{section.8.2}{Conclusion}{chapter.8} \BOOKMARK [0][-]{chapter*.30}{Bibliography}{part.3} \BOOKMARK [0][-]{appendix.A}{Personal Contributions to TWIST}{part.3} \BOOKMARK [1][-]{section.A.1}{Contributions to Design and Building}{appendix.A} \BOOKMARK [1][-]{section.A.2}{Contributions to Operation of TWIST}{appendix.A} \BOOKMARK [1][-]{section.A.3}{Contributions to Analysis of TWIST Data}{appendix.A}