\relax \citation{AndreiThesis} \citation{tn88} \@writefile{toc}{\contentsline {chapter}{\numberline {3}Analysis}{28}{chapter.3}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{chapter:Analysis}{{3}{28}{Analysis\relax }{chapter.3}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.1}{\ignorespaces Analysis flow diagram}}{29}{figure.3.1}} \newlabel{fig:AnalysisChartFlow}{{3.1}{29}{Analysis\relax }{figure.3.1}{}} \@writefile{toc}{\contentsline {section}{\numberline {3.1}Blind analysis}{30}{section.3.1}} \@writefile{toc}{\contentsline {section}{\numberline {3.2}Event reconstruction}{30}{section.3.2}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2.1}Data run unpacking}{30}{subsection.3.2.1}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2.2}Crosstalk signal removal}{30}{subsection.3.2.2}} \newlabel{sec:Crosstalk}{{3.2.2}{30}{Crosstalk signal removal\relax }{subsection.3.2.2}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.2}{\ignorespaces Classification example}}{31}{figure.3.2}} \newlabel{fig:Windowing}{{3.2}{31}{Event identification\relax }{figure.3.2}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2.3}Event identification}{31}{subsection.3.2.3}} \newlabel{sec:Classification}{{3.2.3}{31}{Event identification\relax }{subsection.3.2.3}{}} \citation{James82} \@writefile{lof}{\contentsline {figure}{\numberline {3.3}{\ignorespaces Hit clusters formation}}{33}{figure.3.3}} \newlabel{fig:Clustering}{{3.3}{33}{Event identification\relax }{figure.3.3}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2.4}First guess}{33}{subsection.3.2.4}} \@writefile{lof}{\contentsline {figure}{\numberline {3.4}{\ignorespaces ``First guess'' algorithm example}}{34}{figure.3.4}} \newlabel{fig:FirstGuess_PossibleCases}{{3.4}{34}{First guess\relax }{figure.3.4}{}} \citation{Lutz88} \citation{PDG} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2.5}Helix fitter}{35}{subsection.3.2.5}} \newlabel{sec:HelixFitter}{{3.2.5}{35}{Helix fitter\relax }{subsection.3.2.5}{}} \newlabel{eq:HeFit_chisquare}{{3.1}{35}{Helix fitter\relax }{equation.3.1}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.5}{\ignorespaces Hit association in $u$-$v$ by the ``first guess''}}{36}{figure.3.5}} \newlabel{fig:FirstGuessUV}{{3.5}{36}{First guess\relax }{figure.3.5}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.6}{\ignorespaces Helix winding number determination}}{36}{figure.3.6}} \newlabel{fig:FirstGuess_WindingNum}{{3.6}{36}{First guess\relax }{figure.3.6}{}} \citation{James82} \@writefile{lof}{\contentsline {figure}{\numberline {3.7}{\ignorespaces Narrow windows algorithm}}{37}{figure.3.7}} \newlabel{fig:HeFit_NarrowWindows}{{3.7}{37}{Helix fitter\relax }{figure.3.7}{}} \citation{RobThesis} \@writefile{lof}{\contentsline {figure}{\numberline {3.8}{\ignorespaces Drift distances calculation}}{38}{figure.3.8}} \newlabel{fig:HeFit_Isochron}{{3.8}{38}{Helix fitter\relax }{figure.3.8}{}} \citation{ROOT} \@writefile{toc}{\contentsline {section}{\numberline {3.3}Extraction of the decay parameters}{39}{section.3.3}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.3.1}Spectrum reconstruction}{39}{subsection.3.3.1}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.3.2}Muon decay parameter fit}{39}{subsection.3.3.2}} \newlabel{sec:SpectraFit}{{3.3.2}{39}{Muon decay parameter fit\relax }{subsection.3.3.2}{}} \citation{MINUIT} \citation{AndreiThesis} \citation{RyansThesis} \newlabel{eq:DiffDataMCSpectra}{{3.3}{40}{Muon decay parameter fit\relax }{equation.3.3}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.3.3}Momentum calibration}{40}{subsection.3.3.3}} \newlabel{sec:ECal}{{3.3.3}{40}{Momentum calibration\relax }{subsection.3.3.3}{}} \newlabel{fig:Derivative_eta}{{3.9(a)}{41}{Subfigure 3 3.9(a)\relax }{subfigure.3.9.1}{}} \newlabel{sub@fig:Derivative_eta}{{(a)}{41}{Subfigure 3 3.9(a)\relax }{subfigure.3.9.1}{}} \newlabel{fig:Derivative_rho}{{3.9(b)}{41}{Subfigure 3 3.9(b)\relax }{subfigure.3.9.2}{}} \newlabel{sub@fig:Derivative_rho}{{(b)}{41}{Subfigure 3 3.9(b)\relax }{subfigure.3.9.2}{}} \newlabel{fig:Derivative_PmuXi}{{3.9(c)}{41}{Subfigure 3 3.9(c)\relax }{subfigure.3.9.3}{}} \newlabel{sub@fig:Derivative_PmuXi}{{(c)}{41}{Subfigure 3 3.9(c)\relax }{subfigure.3.9.3}{}} \newlabel{fig:Derivative_PmuXiDelta}{{3.9(d)}{41}{Subfigure 3 3.9(d)\relax }{subfigure.3.9.4}{}} \newlabel{sub@fig:Derivative_PmuXiDelta}{{(d)}{41}{Subfigure 3 3.9(d)\relax }{subfigure.3.9.4}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.9}{\ignorespaces Derivative spectra}}{41}{figure.3.9}} \newlabel{fig:Derivative_Plots}{{3.9}{41}{Muon decay parameter fit\relax }{figure.3.9}{}} \newlabel{fig:MCfitter_Residuals}{{3.10(a)}{42}{Subfigure 3 3.10(a)\relax }{subfigure.3.10.1}{}} \newlabel{sub@fig:MCfitter_Residuals}{{(a)}{42}{Subfigure 3 3.10(a)\relax }{subfigure.3.10.1}{}} \newlabel{fig:MCfitter_ResidualsFitted}{{3.10(b)}{42}{Subfigure 3 3.10(b)\relax }{subfigure.3.10.2}{}} \newlabel{sub@fig:MCfitter_ResidualsFitted}{{(b)}{42}{Subfigure 3 3.10(b)\relax }{subfigure.3.10.2}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.10}{\ignorespaces Residuals from the muon decay parameter fit}}{42}{figure.3.10}} \newlabel{fig:SpectraFit_Residuals}{{3.10}{42}{Muon decay parameter fit\relax }{figure.3.10}{}} \newlabel{eq:ECAL_chi2}{{3.8}{43}{Momentum calibration\relax }{equation.3.8}{}} \newlabel{fig:ECal_Edges}{{3.11(a)}{45}{Subfigure 3 3.11(a)\relax }{subfigure.3.11.1}{}} \newlabel{sub@fig:ECal_Edges}{{(a)}{45}{Subfigure 3 3.11(a)\relax }{subfigure.3.11.1}{}} \newlabel{fig:ECal_ShiftVsInvCosTheta}{{3.11(b)}{45}{Subfigure 3 3.11(b)\relax }{subfigure.3.11.2}{}} \newlabel{sub@fig:ECal_ShiftVsInvCosTheta}{{(b)}{45}{Subfigure 3 3.11(b)\relax }{subfigure.3.11.2}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3.11}{\ignorespaces Kinematic end-point edges}}{45}{figure.3.11}} \newlabel{fig:ECal_Plots}{{3.11}{45}{Momentum calibration\relax }{figure.3.11}{}} \@setckpt{chapters/3/chapter_analysis}{ \setcounter{page}{46} \setcounter{equation}{8} \setcounter{enumi}{0} \setcounter{enumii}{0} \setcounter{enumiii}{0} \setcounter{enumiv}{0} \setcounter{footnote}{0} \setcounter{mpfootnote}{0} \setcounter{part}{0} \setcounter{chapter}{3} \setcounter{section}{3} \setcounter{subsection}{3} \setcounter{subsubsection}{0} \setcounter{paragraph}{0} \setcounter{subparagraph}{0} \setcounter{figure}{11} \setcounter{table}{0} \setcounter{Item}{0} \setcounter{Hfootnote}{5} \setcounter{parentequation}{0} \setcounter{NAT@ctr}{0} \setcounter{subfigure}{0} \setcounter{lofdepth}{2} \setcounter{subtable}{0} \setcounter{lotdepth}{1} \setcounter{pgf@counta}{40} \setcounter{pgf@countb}{0} \setcounter{pgf@countc}{0} \setcounter{pgf@countd}{0} \setcounter{pgf@tempcount}{111} \setcounter{section@level}{2} }