Statistical time analysis for regular events with high count rate

Abstract

In physics it is frequently needed to precisely measure the count rate of some process. Quite often one needs to account for electronics dead time, pile-up and other features of data acquisition system to avoid systematic shifts of the count rate. In this article we present a statistical mechanism to diminish or completely eliminate systematic errors arising from the correlation between the events. Also we present examples of application of this method to the analysis of "Troitsk numass" and "Tristan in Troitsk" experiments.

Shape-based event pileup separation in Troitsk nu-mass experiment

“…It allowed to significantly reduce systematic error from dead-time uncertainty without reducing statistical sensitivity. It also could be used in conjunction with time-scan quality control described in [5] since it does not introduce distortions to event time distribution. The software was used at the "Troitsk nu-mass" experiment in 2017_05 and 2017_11 data measurement runs.…”

“…The second problem is the precision of event time reconstruction. The exact event time is required to perform proper time analysis and quality control procedures discussed in [5]. Simple peak search methods give the time only with one-bin precision which is not enough.…”