Fast alignment of a complex tracking detector using advanced track models
Volker Blobel, Claus Kleinwort, Frank Meier

TL;DR
This paper presents a fast and precise alignment method for the CMS silicon detector using an advanced track model that accounts for multiple Coulomb scattering, improving alignment accuracy efficiently.
Contribution
Introduction of a novel approach combining the Millepede-II algorithm with the 'Broken Lines' track model for efficient detector alignment.
Findings
Successful implementation of the advanced track model in alignment
Reduced computational time for alignment process
Enhanced accuracy in detector module positioning
Abstract
The inner silicon detector of the Compact Muon Solenoid experiment (CMS) at CERN's LHC consists of 16588 modules. Charged-particle tracks in the detector are used to improve the accuracy to which the position and orientation of the modules is known. This contribution focuses on the Millepede-II algorithm, one of the two alignment algorithms used by CMS. Recently an advanced track model has been introduced into the CMS alignment procedure, which is based on the "Broken Lines" model and is able to take multiple Coulomb scattering in the detector material properly into account. We show the unique approach needed for solving the alignment problem in a reasonable amount of time. Emphasis is given to the mathematical treatment of the problem.
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