Explicit Covariance Matrix for Particle Measurement Precision

We derive explicit and precise formulae for 3 by 3 error matrix of the particle transverse momentum, direction and impact parameter. The error matrix elements are expressed as functions of up to fourth order statistical moments of the measured coordinates. The formulae are valid for any curvature an...

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Detalles Bibliográficos
Autor principal: Karimäki, Veikko
Lenguaje:eng
Publicado: 1997
Materias:
Detectors and Experimental Techniques
Acceso en línea:http://cds.cern.ch/record/687513
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author Karimäki, Veikko
author_facet Karimäki, Veikko
author_sort Karimäki, Veikko
collection CERN
description We derive explicit and precise formulae for 3 by 3 error matrix of the particle transverse momentum, direction and impact parameter. The error matrix elements are expressed as functions of up to fourth order statistical moments of the measured coordinates. The formulae are valid for any curvature and track length in case of negligible multiple scattering.
id cern-687513
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
record_format invenio
spelling cern-6875132019-09-30T06:29:59Zhttp://cds.cern.ch/record/687513engKarimäki, VeikkoExplicit Covariance Matrix for Particle Measurement PrecisionDetectors and Experimental TechniquesWe derive explicit and precise formulae for 3 by 3 error matrix of the particle transverse momentum, direction and impact parameter. The error matrix elements are expressed as functions of up to fourth order statistical moments of the measured coordinates. The formulae are valid for any curvature and track length in case of negligible multiple scattering.CMS-NOTE-1997-064oai:cds.cern.ch:6875131997-07-31
spellingShingle Detectors and Experimental Techniques
Karimäki, Veikko
Explicit Covariance Matrix for Particle Measurement Precision
title Explicit Covariance Matrix for Particle Measurement Precision
title_full Explicit Covariance Matrix for Particle Measurement Precision
title_fullStr Explicit Covariance Matrix for Particle Measurement Precision
title_full_unstemmed Explicit Covariance Matrix for Particle Measurement Precision
title_short Explicit Covariance Matrix for Particle Measurement Precision
title_sort explicit covariance matrix for particle measurement precision
topic Detectors and Experimental Techniques
url http://cds.cern.ch/record/687513
work_keys_str_mv AT karimakiveikko explicitcovariancematrixforparticlemeasurementprecision

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