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

Abstract

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.

17 pages, 4 figures

References in corpus (2)

• A New Method for the High-Precision Alignment of Track Detectors
• Alignment procedure of the LHCb Vertex Detector

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