Optimized Integration of the Equations of Motion of a Particle in the HERA-B Magnet

TL;DR

This paper introduces an efficient method for propagating particle track parameters in inhomogeneous magnetic fields, enhancing computational efficiency and enabling improved Kalman filter implementation for particle tracking.

Contribution

It presents a novel, flexible approach to propagate track parameters with derivatives in complex magnetic fields, optimizing computational effort for particle tracking applications.

Findings

Reduced computational effort in track propagation

Enhanced Kalman filter performance in magnetic fields

Applicable to inhomogeneous magnetic field scenarios

Abstract

In this note we present a flexible approach to perform the propagation of track parameters and their derivatives in an inhomogeneous magnetic field, keeping the computational effort small. We discuss also a Kalman filter implementation using this optimized computation of the derivatives.