Bayesian Event Reconstruction for Advanced Compton Telescopes

Mathematics – Probability

Scientific paper

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Scientific paper

Measuring gamma rays via Compton scattering in a space environment is a challenging task: weak source signals have to be extracted from dominating background, which mainly originates from cosmic rays (prompt interactions as well as delayed decays) and earth albedo photons.
The approach of Advanced Compton Telescopes (ACT) to overcome this problem is to measure more parameters of the events (several Compton interactions, the recoil electron direction, etc.) with a higher accuracy than previous Compton telescopes like COMPTEL.
Still, this leaves the event reconstruction with three main tasks: Find the correct sequence of interactions, identify background and suppress incompletely absorbed events.
The most promising approach to accomplish those tasks is based on Bayesian statistics: The Compton interactions are parameterized in an eight-dimensional data space, which contains the interaction information of the Compton sequence. For each data space cell the probability that the corresponding interaction sequence is those of a correctly ordered, completely absorbed source photon can be determined by detailed simulations.
The result is an absolute quality factor for each event, based on which source events can be distinguished from background and incompletely absorbed photons.
We will report on the performance of the algorithm for a typical advanced Compton telescope design.

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