# Charged particle tracking without magnetic field: optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering

## TL;DR

This paper develops an optimal Bayesian method for measuring particle track momentum in zero magnetic field environments, enhancing detector design and performance for neutrino and gamma-ray experiments.

## Contribution

It introduces a Bayesian analysis approach to estimate track momentum from multiple scattering measurements, improving upon existing methods without magnetic fields.

## Key findings

- Optimal estimator for track momentum derived
- Enhanced precision in track parameter measurement
- Guidance for designing advanced particle detectors

## Abstract

We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track momentum by a Bayesian analysis of the filtering innovations of a series of Kalman filters applied to the track. This work could pave the way to the development of autonomous high-performance gas time-projection chambers (TPC) or silicon wafer gamma-ray space telescopes and be a powerful guide in the optimisation of the design of the multi-kilo-ton liquid argon TPCs that are under development for neutrino studies.