\babel@toc {english}{}
\contentsline {section}{\numberline {1}Standard Model}{3}{section.1}
\contentsline {subsection}{\numberline {1.1}Elementary particles and forces}{3}{subsection.1.1}
\contentsline {subsection}{\numberline {1.2}Interaction rules}{6}{subsection.1.2}
\contentsline {section}{\numberline {2}Physics beyond the SM}{7}{section.2}
\contentsline {subsection}{\numberline {2.1}Neutrino Oscillation}{7}{subsection.2.1}
\contentsline {subsection}{\numberline {2.2}New physics}{8}{subsection.2.2}
\contentsline {section}{\numberline {3}$\mu \rightarrow eee$ decay}{11}{section.3}
\contentsline {subsection}{\numberline {3.1}Kinematics}{11}{subsection.3.1}
\contentsline {subsection}{\numberline {3.2}Background events}{11}{subsection.3.2}
\contentsline {subsubsection}{\numberline {3.2.1}}{11}{subsubsection.3.2.1}
\contentsline {subsubsection}{\numberline {3.2.2}Michel decay}{12}{subsubsection.3.2.2}
\contentsline {subsubsection}{\numberline {3.2.3}Radiative muon decay}{12}{subsubsection.3.2.3}
\contentsline {subsubsection}{\numberline {3.2.4}BhaBha scattering}{12}{subsubsection.3.2.4}
\contentsline {subsubsection}{\numberline {3.2.5}Pion decays}{12}{subsubsection.3.2.5}
\contentsline {subsubsection}{\numberline {3.2.6}Analysis of the background}{13}{subsubsection.3.2.6}
\contentsline {section}{\numberline {4}Mu3e experiment}{14}{section.4}
\contentsline {subsection}{\numberline {4.1}Requirements}{14}{subsection.4.1}
\contentsline {subsection}{\numberline {4.2}Phase I}{14}{subsection.4.2}
\contentsline {subsection}{\numberline {4.3}Phase II}{14}{subsection.4.3}
\contentsline {subsection}{\numberline {4.4}Experimental setup}{14}{subsection.4.4}
\contentsline {subsection}{\numberline {4.5}The problem of low longitudinal momentum recurlers}{17}{subsection.4.5}
\contentsline {section}{\numberline {5}Machine learning}{19}{section.5}
\contentsline {subsection}{\numberline {5.1}Introduction}{19}{subsection.5.1}
\contentsline {subsection}{\numberline {5.2}Artificial neural networks}{19}{subsection.5.2}