\babel@toc {english}{} \contentsline {section}{\numberline {1}Introduction}{2}{section.1}% \contentsline {section}{\numberline {2}Data set}{3}{section.2}% \contentsline {section}{\numberline {3}Fast Rotation signal}{4}{section.3}% \contentsline {subsection}{\numberline {3.1}Positron counts histogram}{4}{subsection.3.1}% \contentsline {subsection}{\numberline {3.2}Combination of the 24 calorimeters}{4}{subsection.3.2}% \contentsline {subsection}{\numberline {3.3}Wiggle fit}{4}{subsection.3.3}% \contentsline {subsection}{\numberline {3.4}Fast rotation signal}{5}{subsection.3.4}% \contentsline {section}{\numberline {4}Nominal analysis}{8}{section.4}% \contentsline {subsection}{\numberline {4.1}Choice of the \ensuremath {t_{s}}\ parameter}{8}{subsection.4.1}% \contentsline {subsection}{\numberline {4.2}Choice of the \ensuremath {t_{m}}\ parameter}{9}{subsection.4.2}% \contentsline {subsection}{\numberline {4.3}Choice of the \ensuremath {t_{0}}\ parameter}{9}{subsection.4.3}% \contentsline {subsection}{\numberline {4.4}Frequency distribution}{9}{subsection.4.4}% \contentsline {subsection}{\numberline {4.5}Radial distribution}{9}{subsection.4.5}% \contentsline {subsection}{\numberline {4.6}Electric field correction estimation}{10}{subsection.4.6}% \contentsline {section}{\numberline {5}Per-calorimeter and per-bunch analysis}{16}{section.5}% \contentsline {subsection}{\numberline {5.1}Per-calorimeter analysis}{16}{subsection.5.1}% \contentsline {subsection}{\numberline {5.2}Per-bunch analysis}{21}{subsection.5.2}% \contentsline {section}{\numberline {6}Statistical uncertainty}{24}{section.6}% \contentsline {subsection}{\numberline {6.1}Nominal analysis}{24}{subsection.6.1}% \contentsline {subsection}{\numberline {6.2}Per-bunch analysis}{24}{subsection.6.2}% \contentsline {subsection}{\numberline {6.3}Per-calorimeter analysis}{25}{subsection.6.3}% \contentsline {section}{\numberline {7}Systematic uncertainties}{30}{section.7}% \contentsline {subsection}{\numberline {7.1}\ensuremath {t_{0}}\ systematic}{30}{subsection.7.1}% \contentsline {subsection}{\numberline {7.2}\ensuremath {t_{s}}\ systematic}{32}{subsection.7.2}% \contentsline {subsection}{\numberline {7.3}\ensuremath {t_{m}}\ systematic}{37}{subsection.7.3}% \contentsline {subsection}{\numberline {7.4}Frequency interval}{43}{subsection.7.4}% \contentsline {subsection}{\numberline {7.5}Background}{46}{subsection.7.5}% \contentsline {subsubsection}{\numberline {7.5.1}Background definition}{46}{subsubsection.7.5.1}% \contentsline {subsubsection}{\numberline {7.5.2}Background removal}{47}{subsubsection.7.5.2}% \contentsline {subsection}{\numberline {7.6}Wiggle fit}{50}{subsection.7.6}% \contentsline {subsection}{\numberline {7.7}Positron energy threshold}{52}{subsection.7.7}% \contentsline {subsection}{\numberline {7.8}Summary}{54}{subsection.7.8}% \contentsline {section}{\numberline {8}Conclusion}{54}{section.8}% \contentsline {section}{\numberline {A}Fast rotation histogram per-bunch}{57}{appendix.A}% \contentsline {section}{\numberline {B}Fast rotation histogram per-calorimeter}{57}{appendix.B}% \contentsline {section}{\numberline {C}Wiggle fit residuals}{57}{appendix.C}% \contentsline {section}{\numberline {D}Fast rotation histogram for different positron energy thresholds}{57}{appendix.D}%