\relax \@writefile{toc}{\contentsline {section}{\numberline {5.2}{Systematic Uncertainty Descriptions}}{49}{section.5.2}} \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.1}{Systematic Error Due to Positron Interactions}}{49}{subsection.5.2.1}} \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.2}{Systematic Error Due to Spectrometer Alignment}}{49}{subsection.5.2.2}} \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.3}{Systematic Error Due to Chamber Response}}{50}{subsection.5.2.3}} \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.4}{Systematic Error Due to Momentum Calibration}}{50}{subsection.5.2.4}} \@writefile{toc}{\contentsline {subsection}{\numberline {5.2.5}{Systematic Error Due to Muon Beam and Polarization}}{50}{subsection.5.2.5}} \@writefile{toc}{\contentsline {subsubsection}{{ Depolarization in the Muon Production Target }}{50}{section*.9}} \@writefile{toc}{\contentsline {subsubsection}{{ Cloud Muon Contamination }}{50}{section*.10}} \@writefile{toc}{\contentsline {subsubsection}{{ Fringe Field Depolarization }}{50}{section*.11}} \citation{brewer} \citation{nuc1} \citation{nuc2} \citation{schenck} \citation{Cox} \@writefile{lot}{\contentsline {table}{\numberline {5.1}{\ignorespaces Nuclear dipole moments of materials being considered for a target in the TWIST solenoid.}}{51}{table.5.1}} \newlabel{ch5sys:tab1}{{5.1}{51}{\@toctoupper {\ifx \empty \empty Introduction \else \fi }\relax }{table.5.1}{}} \@writefile{toc}{\contentsline {subsubsection}{{ Material Dependent Depolarization }}{51}{section*.12}} \@writefile{toc}{\contentsline {paragraph}{{ Introduction }}{51}{section*.13}} \@writefile{toc}{\contentsline {paragraph}{{ Muon Spin Relaxation}}{51}{section*.14}} \citation{beltrami} \citation{brewer} \@writefile{toc}{\contentsline {paragraph}{{Materials in the Vicinity of the Muon Stopping Target}}{52}{section*.15}} \@writefile{toc}{\contentsline {subparagraph}{{Introduction}}{52}{section*.16}} \@writefile{lof}{\contentsline {figure}{\numberline {5.1}{\ignorespaces (a) Shows the MC distribution in z coordinate of muons stopping in chambers around the muon stopping target. 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