\BOOKMARK [0][-]{chapter*.1}{Abstract}{}
\BOOKMARK [0][-]{chapter*.2}{Table of Contents}{}
\BOOKMARK [0][-]{chapter*.3}{List of Tables}{}
\BOOKMARK [0][-]{chapter*.4}{List of Figures}{}
\BOOKMARK [0][-]{chapter*.5}{Acknowledgements}{}
\BOOKMARK [0][-]{chapter.1}{Introduction}{}
\BOOKMARK [1][-]{section.1.1}{The standard model of particle physics}{chapter.1}
\BOOKMARK [1][-]{section.1.2}{Spin and polarisation}{chapter.1}
\BOOKMARK [1][-]{section.1.3}{Muon production}{chapter.1}
\BOOKMARK [1][-]{section.1.4}{Muon decay}{chapter.1}
\BOOKMARK [2][-]{subsection.1.4.1}{Decay modes}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.2}{Matrix element}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.3}{Muon decay parameters}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.4}{Differential decay rate}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.5}{Theoretical spectrum and radiative corrections}{section.1.4}
\BOOKMARK [1][-]{section.1.5}{Standard model extensions}{chapter.1}
\BOOKMARK [2][-]{subsection.1.5.1}{Right-handed muons}{section.1.5}
\BOOKMARK [2][-]{subsection.1.5.2}{Left-right symmetric electroweak models}{section.1.5}
\BOOKMARK [1][-]{section.1.6}{Muon depolarisation mechanisms}{chapter.1}
\BOOKMARK [2][-]{subsection.1.6.1}{Depolarisation in a magnetic field}{section.1.6}
\BOOKMARK [2][-]{subsection.1.6.2}{Depolarisation while decelerating}{section.1.6}
\BOOKMARK [2][-]{subsection.1.6.3}{Depolarisation after thermalisation}{section.1.6}
\BOOKMARK [1][-]{section.1.7}{Previous P measurements}{chapter.1}
\BOOKMARK [2][-]{subsection.1.7.1}{Measurements of P }{section.1.7}
\BOOKMARK [2][-]{subsection.1.7.2}{Measurements of PK }{section.1.7}
\BOOKMARK [0][-]{chapter.2}{Apparatus}{}
\BOOKMARK [1][-]{section.2.1}{Overview}{chapter.2}
\BOOKMARK [1][-]{section.2.2}{Muon production and delivery}{chapter.2}
\BOOKMARK [2][-]{subsection.2.2.1}{Location}{section.2.2}
\BOOKMARK [2][-]{subsection.2.2.2}{Muon production}{section.2.2}
\BOOKMARK [2][-]{subsection.2.2.3}{M13 beam line}{section.2.2}
\BOOKMARK [2][-]{subsection.2.2.4}{Beam line momentum calibration}{section.2.2}
\BOOKMARK [2][-]{subsection.2.2.5}{Particles delivered}{section.2.2}
\BOOKMARK [2][-]{subsection.2.2.6}{M13 configurations}{section.2.2}
\BOOKMARK [1][-]{section.2.3}{Measuring the muon beam}{chapter.2}
\BOOKMARK [1][-]{section.2.4}{Quadrupole steering}{chapter.2}
\BOOKMARK [1][-]{section.2.5}{The detector}{chapter.2}
\BOOKMARK [1][-]{section.2.6}{Coordinate system}{chapter.2}
\BOOKMARK [1][-]{section.2.7}{Solenoid magnet}{chapter.2}
\BOOKMARK [1][-]{section.2.8}{Wire chambers}{chapter.2}
\BOOKMARK [1][-]{section.2.9}{The upstream ``beam package''}{chapter.2}
\BOOKMARK [1][-]{section.2.10}{Muon stopping target}{chapter.2}
\BOOKMARK [1][-]{section.2.11}{Muon ranging}{chapter.2}
\BOOKMARK [1][-]{section.2.12}{Electronics}{chapter.2}
\BOOKMARK [1][-]{section.2.13}{Alignments}{chapter.2}
\BOOKMARK [0][-]{chapter.3}{Analysis}{}
\BOOKMARK [1][-]{section.3.1}{Overview}{chapter.3}
\BOOKMARK [1][-]{section.3.2}{Track reconstruction}{chapter.3}
\BOOKMARK [2][-]{subsection.3.2.1}{``Unpacking''}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.2}{Crosstalk removal}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.3}{Windowing}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.4}{Classification}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.5}{Pattern recognition}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.6}{Fitting the helical trajectory of the decay positron}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.7}{Improved drift chamber space-time-relationship}{section.3.2}
\BOOKMARK [2][-]{subsection.3.2.8}{Improved resolution function}{section.3.2}
\BOOKMARK [1][-]{section.3.3}{Track selection and cuts}{chapter.3}
\BOOKMARK [2][-]{subsection.3.3.1}{Trigger particle time-of-flight}{section.3.3}
\BOOKMARK [2][-]{subsection.3.3.2}{Event classification cut}{section.3.3}
\BOOKMARK [2][-]{subsection.3.3.3}{Muon cuts}{section.3.3}
\BOOKMARK [2][-]{subsection.3.3.4}{Decay particle trajectories}{section.3.3}
\BOOKMARK [2][-]{subsection.3.3.5}{Kinematic fiducial region}{section.3.3}
\BOOKMARK [1][-]{section.3.4}{Extraction of muon decay parameters}{chapter.3}
\BOOKMARK [1][-]{section.3.5}{Energy calibration}{chapter.3}
\BOOKMARK [1][-]{section.3.6}{Time dependence of depolarisation}{chapter.3}
\BOOKMARK [1][-]{section.3.7}{Muon beam spots}{chapter.3}
\BOOKMARK [0][-]{chapter.4}{Simulation}{}
\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4}
\BOOKMARK [1][-]{section.4.2}{Overview of the simulation}{chapter.4}
\BOOKMARK [1][-]{section.4.3}{Primary particle generation}{chapter.4}
\BOOKMARK [1][-]{section.4.4}{Depolarisation}{chapter.4}
\BOOKMARK [2][-]{subsection.4.4.1}{Initial polarisation}{section.4.4}
\BOOKMARK [2][-]{subsection.4.4.2}{Electromagnetic field}{section.4.4}
\BOOKMARK [2][-]{subsection.4.4.3}{Time-dependent depolarisation}{section.4.4}
\BOOKMARK [2][-]{subsection.4.4.4}{Other depolarisation}{section.4.4}
\BOOKMARK [1][-]{section.4.5}{Muon decay}{chapter.4}
\BOOKMARK [1][-]{section.4.6}{Wire chamber response}{chapter.4}
\BOOKMARK [0][-]{chapter.5}{Data}{}
\BOOKMARK [1][-]{section.5.1}{Overview}{chapter.5}
\BOOKMARK [1][-]{section.5.2}{Muon beam tuning}{chapter.5}
\BOOKMARK [1][-]{section.5.3}{Data sets}{chapter.5}
\BOOKMARK [1][-]{section.5.4}{Data quality checks}{chapter.5}
\BOOKMARK [2][-]{subsection.5.4.1}{Data acquisition system}{section.5.4}
\BOOKMARK [2][-]{subsection.5.4.2}{Chamber signals}{section.5.4}
\BOOKMARK [2][-]{subsection.5.4.3}{Rates}{section.5.4}
\BOOKMARK [2][-]{subsection.5.4.4}{Beam line stability}{section.5.4}
\BOOKMARK [2][-]{subsection.5.4.5}{Chamber foil bulging}{section.5.4}
\BOOKMARK [2][-]{subsection.5.4.6}{Muon stopping distribution}{section.5.4}
\BOOKMARK [2][-]{subsection.5.4.7}{Muon beam stability}{section.5.4}
\BOOKMARK [0][-]{chapter.6}{Systematic Uncertainties and Corrections}{}
\BOOKMARK [1][-]{section.6.1}{Introduction}{chapter.6}
\BOOKMARK [1][-]{section.6.2}{Polarisation}{chapter.6}
\BOOKMARK [2][-]{subsection.6.2.1}{Overview}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.2}{Measures of polarisation}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.3}{Initial beam position and angle alignment}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.4}{Magnetic field position and angle alignment}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.5}{Alignment uncertainties from beam and magnetic field}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.6}{Overview of the magnetic field map}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.7}{Muon beam tunes for evaluating the uncertainty}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.8}{Muon beam angular distribution width}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.9}{Summary of muon beam and fringe field uncertainties}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.10}{Stopping material}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.11}{Muon production target}{section.6.2}
\BOOKMARK [2][-]{subsection.6.2.12}{Background muon contamination}{section.6.2}
\BOOKMARK [1][-]{section.6.3}{Chamber response}{chapter.6}
\BOOKMARK [2][-]{subsection.6.3.1}{Drift chamber space-time relationship}{section.6.3}
\BOOKMARK [2][-]{subsection.6.3.2}{Drift chamber geometric effects}{section.6.3}
\BOOKMARK [2][-]{subsection.6.3.3}{Upstream-downstream efficiency}{section.6.3}
\BOOKMARK [2][-]{subsection.6.3.4}{Crosstalk}{section.6.3}
\BOOKMARK [2][-]{subsection.6.3.5}{Wire time offsets}{section.6.3}
\BOOKMARK [2][-]{subsection.6.3.6}{Negligible chamber response uncertainties}{section.6.3}
\BOOKMARK [1][-]{section.6.4}{Detector alignment}{chapter.6}
\BOOKMARK [1][-]{section.6.5}{Positron interactions}{chapter.6}
\BOOKMARK [2][-]{subsection.6.5.1}{Bremsstrahlung and -electron rates}{section.6.5}
\BOOKMARK [2][-]{subsection.6.5.2}{Outside material}{section.6.5}
\BOOKMARK [1][-]{section.6.6}{Resolution}{chapter.6}
\BOOKMARK [1][-]{section.6.7}{Momentum calibration}{chapter.6}
\BOOKMARK [2][-]{subsection.6.7.1}{Magnetic field shape}{section.6.7}
\BOOKMARK [2][-]{subsection.6.7.2}{Use of the kinematic endpoint}{section.6.7}
\BOOKMARK [1][-]{section.6.8}{Beam stability}{chapter.6}
\BOOKMARK [2][-]{subsection.6.8.1}{Muon beam intensity}{section.6.8}
\BOOKMARK [1][-]{section.6.9}{External}{chapter.6}
\BOOKMARK [2][-]{subsection.6.9.1}{Radiative corrections}{section.6.9}
\BOOKMARK [2][-]{subsection.6.9.2}{Correlation with }{section.6.9}
\BOOKMARK [0][-]{chapter.7}{Results}{}
\BOOKMARK [1][-]{section.7.1}{Blind results}{chapter.7}
\BOOKMARK [1][-]{section.7.2}{Result revealed}{chapter.7}
\BOOKMARK [1][-]{section.7.3}{``White box'' consistency test}{chapter.7}
\BOOKMARK [1][-]{section.7.4}{Physics implications}{chapter.7}
\BOOKMARK [2][-]{subsection.7.4.1}{Global analysis of muon decay data}{section.7.4}
\BOOKMARK [2][-]{subsection.7.4.2}{Left-right symmetric models}{section.7.4}
\BOOKMARK [1][-]{section.7.5}{Future experiments}{chapter.7}
\BOOKMARK [2][-]{subsection.7.5.1}{Statistical uncertainty}{section.7.5}
\BOOKMARK [2][-]{subsection.7.5.2}{Magnetic field map uncertainty}{section.7.5}
\BOOKMARK [2][-]{subsection.7.5.3}{Stopping material depolarisation uncertainty}{section.7.5}
\BOOKMARK [2][-]{subsection.7.5.4}{Other uncertainties}{section.7.5}
\BOOKMARK [1][-]{section.7.6}{Conclusions}{chapter.7}
\BOOKMARK [0][-]{chapter*.31}{Bibliography}{}
\BOOKMARK [0][-]{appendix.A}{Personal contributions}{}
\BOOKMARK [0][-]{appendix.B}{History of the muon}{}
\BOOKMARK [0][-]{appendix.C}{Naming of the muon}{}
\BOOKMARK [0][-]{appendix.D}{Magnetic field mapping and simulation}{}
\BOOKMARK [0][-]{appendix.E}{New downstream trigger}{}
\BOOKMARK [0][-]{appendix.F}{Bias in P extraction technique}{}
\BOOKMARK [0][-]{appendix.G}{Time expansion chambers analysis}{}
\BOOKMARK [1][-]{section.G.1}{Introduction}{appendix.G}
\BOOKMARK [1][-]{section.G.2}{Typical raw events}{appendix.G}
\BOOKMARK [1][-]{section.G.3}{Analysis}{appendix.G}
\BOOKMARK [2][-]{subsection.G.3.1}{Unpacking and wire time offsets}{section.G.3}
\BOOKMARK [2][-]{subsection.G.3.2}{Reject multiple trigger events}{section.G.3}
\BOOKMARK [2][-]{subsection.G.3.3}{Discriminator amplitude walk}{section.G.3}
\BOOKMARK [2][-]{subsection.G.3.4}{Track candidates}{section.G.3}
\BOOKMARK [2][-]{subsection.G.3.5}{Final multiple track removal}{section.G.3}
\BOOKMARK [2][-]{subsection.G.3.6}{Other algorithms}{section.G.3}
\BOOKMARK [1][-]{section.G.4}{Sense plane calibration}{appendix.G}
\BOOKMARK [2][-]{subsection.G.4.1}{Wire time offsets}{section.G.4}
\BOOKMARK [2][-]{subsection.G.4.2}{Discriminator amplitude walk}{section.G.4}
\BOOKMARK [2][-]{subsection.G.4.3}{Space-time relationship}{section.G.4}
\BOOKMARK [1][-]{section.G.5}{Performance}{appendix.G}
\BOOKMARK [2][-]{subsection.G.5.1}{Resolution}{section.G.5}
\BOOKMARK [2][-]{subsection.G.5.2}{Number of hits per event}{section.G.5}
\BOOKMARK [1][-]{section.G.6}{Summary}{appendix.G}
\BOOKMARK [0][-]{appendix.H}{E1111: Subsidiary +SR experiment}{}
\BOOKMARK [1][-]{section.H.1}{Introduction}{appendix.H}
\BOOKMARK [1][-]{section.H.2}{Theory}{appendix.H}
\BOOKMARK [1][-]{section.H.3}{+SR Apparatus}{appendix.H}
\BOOKMARK [2][-]{subsection.H.3.1}{M20 Beam line}{section.H.3}
\BOOKMARK [2][-]{subsection.H.3.2}{Detector}{section.H.3}
\BOOKMARK [2][-]{subsection.H.3.3}{Sample preparation}{section.H.3}
\BOOKMARK [1][-]{section.H.4}{Data}{appendix.H}
\BOOKMARK [1][-]{section.H.5}{Analysis}{appendix.H}
\BOOKMARK [2][-]{subsection.H.5.1}{Rebinning}{section.H.5}
\BOOKMARK [2][-]{subsection.H.5.2}{Calibration using spin glass}{section.H.5}
\BOOKMARK [2][-]{subsection.H.5.3}{Metal samples}{section.H.5}
\BOOKMARK [1][-]{section.H.6}{Correction due to scintillator stops}{appendix.H}
\BOOKMARK [1][-]{section.H.7}{Other systematic uncertainties}{appendix.H}
\BOOKMARK [1][-]{section.H.8}{Conclusions}{appendix.H}
\BOOKMARK [1][-]{section.H.9}{Future experiments}{appendix.H}
\BOOKMARK [0][-]{appendix.I}{The M13 beam line and \(g-2\)}{}
\BOOKMARK [0][-]{appendix.J}{Estimating muon stops in PC6 gas}{}