Optimization of the track fit for the upgraded trigger

This note presents time profiling studies of the Kalman filter based track fitting software, used by the LHCb Collaboration to reconstruct charged particle trajec- tories, against the number of iterations of the fitter. Also, a detailed track quality analysis quantifying the impact of the number of fit iterations on reconstructed track parameters and selected physics quantities is shown. This work is a part of a large research project, still underway, that focuses on defining and implementing the next generation trigger system for the upgraded LHCb experiment that is foreseen to collect collision data beyond year 2020 (Run III). It should also be stressed that some of the ideas, regarding the upgraded trigger, have alread