Mathematical Framework for Fast and Rigorous Track Fit for the ZEUS Detector

TL;DR

This paper introduces a mathematical framework utilizing the Kalman filter for fast, rigorous track fitting in the ZEUS detector, effectively handling magnetic field inhomogeneity, multiple scattering, and energy loss.

Contribution

It presents a novel, computationally efficient Kalman filter-based method tailored for the ZEUS detector's complex magnetic and detector configurations.

Findings

Track fitting in one event takes about 20ms on a standard PC.

The framework rigorously accounts for magnetic field inhomogeneity and multiple scattering.

Implementation details include options for homogeneous and inhomogeneous magnetic fields.

Abstract

In this note we present a mathematical framework for a rigorous approach to a common track fit for trackers located in the inner region of the ZEUS detector. The approach makes use of the Kalman filter and offers a rigorous treatment of magnetic field inhomogeneity, multiple scattering and energy loss. We describe mathematical details of the implementation of the Kalman filter technique with a reduced amount of computations for a cylindrical drift chamber, barrel and forward silicon strip detectors and a forward straw drift chamber. Options with homogeneous and inhomogeneous field are discussed. The fitting of tracks in one ZEUS event takes about of 20ms on standard PC.