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General Broken Lines as advanced track fitting method · Around

2012

General Broken Lines as advanced track fitting method

Kleinwort, Claus

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In HEP experiments the description of the trajectory of a charged particle is obtained from a fit to measurements in tracking detectors.

The parametrization of the trajectory has to account for bending in the magnetic field, energy loss and multiple scattering in the detector material.
General broken lines implement a track model with proper description of multiple scattering leading to linear equations with a special structure of the corresponding matrix allowing for a fast solution with the computing time depending linearly on the number of measurements.
The calculation of the full covariance matrix along the trajectory enables the application to track based alignment and calibration of large detectors with global methods.

Built on

Track fitting with multiple scattering: A new method,
P. Billoir, · 1984
Earlier work this paper cites.
Direct Methods for Sparse Matrices,
I.S. Duff, A.M. Erisman and J.K. Reid, · 1986
Earlier work this paper cites.
Application of Kalman filtering to track and vertex fitting,
R. Frühwirth, · 1987
Earlier work this paper cites.
Software Alignment for Tracking Detectors,
V. Blobel, · 2006
Earlier work this paper cites.

Similar

A new fast track-fit algorithm based on broken lines,
V. Blobel, · 2006
Cited alongside, same era.
Derivation of Jacobians for the propagation of the covariance matrices of track parameters in homogeneous magnetic fields,
A. Strandlie, W. Wittek, · 2006
Cited alongside, same era.
The global covariance matrix of tracks fitted with a Kálmán filter and an application in detector alignment,
W.D. Hulsbergen, · 2009
Cited alongside, same era.

Then

Track and vertex reconstruction: From classical to adaptive methods,
A. Strandlie, R. Frühwirth, · 2010
Later among the works it cites.
Physics Letters B667, 1 (2008) and 2009 partial update for the 2010 ed
C. Amsler et al. (Particle Data Group), · 2010
Later among the works it cites.
Fast alignment of a complex tracking detector using advanced track models,
V. Blobel, C. Kleinwort, F. Meier, · 2011
Later among the works it cites.

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