Augmenting momentum resolution with well tuned probability distributions

TL;DR

This paper demonstrates that applying well-tuned probability distributions significantly improves momentum resolution in particle tracking, outperforming standard least squares fits in realistic detector simulations.

Contribution

The authors introduce and validate a novel approach using realistic probability distributions for more accurate momentum reconstruction in microstrip detectors.

Findings

Momentum resolution is drastically improved over standard fits.

Increased magnetic field and signal-to-noise ratio are required for comparable results with standard methods.

The method is validated on real detector data and simulations, showing superior performance.

Abstract

The realistic probability distributions of a previous article are applied to the reconstruction of tracks in constant magnetic field. The complete forms and their schematic approximations produce excellent momentum estimations, drastically better than standard fits. A simplified derivation of one of our probability distributions is illustrated. The momentum reconstructions are compared with standard fits (least squares) with two different position algorithms: the eta-algorithm and the two-strip center of gravity. The quality of our results are expressed as the increase of the magnetic field and signal-to-noise ratio that overlap the standard fit reconstructions with ours best distributions. The data and the simulations are tuned on the tracker of a running experiment and its double sided microstrip detectors, here each detector side is simulated to measure the magnetic bending. To overlap with our best distributions, the magnetic field must be increased by a factor 1.5 for the least squares based on the eta-algorithm and 1.8 for the two-strip center of gravity for the low noise side, and 1.8 and 2.0 for the high noise side. The signal-to-noise ratio must be increased by 1.6 for the low noise side and 2.2 for the high noise side (eta-algorithms). The fits, built on the positioning with the center of gravity, are not modified by a reduction of the signal-to-noise ratio.}