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The bremsstrahlung energy loss distribution of electrons propagating inmatter is highly non Gaussian. Because the Kalman filter relies solely onGaussian probability density functions, it might not be an optimalreconstruction algorithm for electron tracks. A Gaussian-sum filter (GSF)algorithm for electron track reconstruction in the CMS tracker has thereforebeen developed. The basic idea is to model the bremsstrahlung energy lossdistribution by a Gaussian mixture rather than a single Gaussian. It is shownthat the GSF is able to improve the momentum resolution of electrons comparedto the standard Kalman filter. The momentum resolution and the quality of theestimated error are studied with various types of mixture models of the energyloss distribution.Comment: Talk from the 2003 Computing in High Energy and Nuclear Physics  (CHEP03), La Jolla, Ca, USA, March 2003, LaTeX, 14 eps figures. PSN TULT00

Reconstruction of electrons with the Gaussian-sum filter in the CMS tracker at the LHC