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

Frosini, Mikaël; Bernard, D.

doi:10.1016/j.nima.2017.06.030

Cited by 14 publications

(28 citation statements)

References 41 publications

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“…How devise a segmentation-free, optimal, unbiased, momentum measurement from the amazing ability of Kalman filters to (statistically) decipher the (detector precision) uncorrelated and the (multiple scattering) correlated interleaved contributions in the track trajectory statistics ? We develop an optimal method to measure the electron momentum from the multiple measurement of multiple scattering induced deflections, based on a Bayesian analysis of the innovation residues of a set of momentum-dependent Kalman filters applied to the track [13]. 1 Let's define s, the track-momentum-dependent multiple-scattering-angle average variance per unit track length:…”

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confidence: 99%

“…The distribution of the probability density function p(s) is shown in Fig. 1 for one simulated 50 MeV/c track [13]. The most probable value of p is then obtained from the most probable value of s: p = p 0 ∆x/lX 0 s.…”

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confidence: 99%

“…Figure 1: p(s) distribution for a 50 MeV/c track in a silicon detector. On that track, the momentum is measured to be equal to 49.9 MeV/c [13] (left: lin-lin; right: log-log).…”

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confidence: 99%

“…The method is found to be usable at low momentum, below a couple of GeV/c for silicon detectors such as e-ASTROGAM [6] or AMEGO [7]. [13]. The curve is from eq.…”

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confidence: 99%

“…We perform a parametric study of the estimator from which we extract a heuristic analytical description of the relative uncertainty of the momentum measurement. A good representation of these data is obtained with the following expression [13]:…”

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confidence: 99%

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Calorimeter-less gamma-ray telescopes: Optimal measurement of charged particle momentum from multiple scattering by Bayesian analysis of Kalman filtering innovations.

Bernard¹,

Frosini²

2017

Proceedings of 7th International Fermi Symposium — PoS(IFS2017)

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Novel gamma-ray telescope schemes (silicon wafer stacks, emulsions, gas detectors) are being developed so as to bridge the sensitivity gap between Compton and pair-creation telescopes. The lower average density with respect to the tungsten/silicon active target of the Fermi-LAT makes large effectivearea telescopes voluminous objects, for which the photon energy measurement by conventional means (calorimeter, magnetic spectrometer, transition radiation detector) is a challenge for the mass budget of the space mission. We present an optimal measurement of track momentum by the multiple measurement of the angular deflections induced by multiple scattering in the active target itself, using a Bayesian analysis of the filtering innovations of a series of Kalman filters applied to the track. For a silicon-wafer-stack telescope, the method yields meaningful results up to a couple of GeV/c.

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confidence: 99%

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confidence: 99%

“…Figure 1: p(s) distribution for a 50 MeV/c track in a silicon detector. On that track, the momentum is measured to be equal to 49.9 MeV/c [13] (left: lin-lin; right: log-log).…”

mentioning

confidence: 99%

“…The method is found to be usable at low momentum, below a couple of GeV/c for silicon detectors such as e-ASTROGAM [6] or AMEGO [7]. [13]. The curve is from eq.…”

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confidence: 99%

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confidence: 99%

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