The Parametrized Extrapolator

This study is focused on fast track extrapolations in the magnetic field of the LHCb detector setup. The magnetic field map is discussed and visualized. Already implemented extrapolators are analyzed briefly. The main focus of the study is the new "Parametrized Extrapolator", that was proposed by prof. Pierre Billoir. The extrapolator concept and functioning are presented in detail. The performance of this parametrized extrapolator is studied in terms of deviations when compared to a reference extrapolator. In the end future improvements and ideas are discussed.