Combinatorial Kalman filters are a standard tool today for pattern
recognition and charged particle reconstruction in high energy
physics. In this thesis the implementation of the track finding
software for the Belle II experiment and first studies on early
Belle II data are presented. The track finding algorithm exploits
novel concepts such as multivariate track quality estimates to form
charged trajectory hypotheses combining information from the Belle
II central drift chamber with the inner vertex sub-detectors. The
eventual track candidates show an improvement in resolution on the
parameters describing their spatial and momentum properties by up
to a factor of seven over the former legacy implementation. The
second part of the thesis documents a novel way to determine the
collision event null time T0 and the implementation of optimisation
steps in the online reconstruction code, which proved crucial in
overcoming the high level trigger limitations.
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