The global covariance matrix of tracks fitted with a Kalman filter and an application in detector alignment

Details The global covariance matrix of tracks fitted with a Kalman filter and an application in detector alignment The global covariance matrix of tracks fitted with a Kalman filter and an application in detector alignment

2008-10-13

arxiv.org/abs/0810.2241v2

Physics

Instrumentation and Detectors

17 pages, 4 figures

Scientific paper

10.1016/j.nima.2008.11.094

We present an expression for the covariance matrix for the set of state vectors describing a track fitted with a Kalman filter. We demonstrate that this expression facilitates the use of a Kalman filter track model in a minimum $\chi^2$ algorithm for the alignment of tracking detectors. We also show that it allows to incorporate vertex constraints in such a procedure without refitting the tracks.

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