Mathematical Framework for Fast and Rigorous Track Fit for the ZEUS Detector

Details Mathematical Framework for Fast and Rigorous Track Fit for the ZEUS Detector Mathematical Framework for Fast and Rigorous Track Fit for the ZEUS Detector

2008-12-05

arxiv.org/abs/0812.1245v1

Physics

Data Analysis, Statistics and Probability

35 pages, 1 figure

Scientific paper

In this note we present a mathematical framework for a rigorous approach to a common track fit for trackers located in the inner region of the ZEUS detector. The approach makes use of the Kalman filter and offers a rigorous treatment of magnetic field inhomogeneity, multiple scattering and energy loss. We describe mathematical details of the implementation of the Kalman filter technique with a reduced amount of computations for a cylindrical drift chamber, barrel and forward silicon strip detectors and a forward straw drift chamber. Options with homogeneous and inhomogeneous field are discussed. The fitting of tracks in one ZEUS event takes about of 20ms on standard PC.

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