Jingyi Yu, Zhe Wang, Shaomin Chen
In a delayed coincidence experiment, for example, the recent reactor neutrino oscillation experiments, a precise analytic determination of the delayed coincidence signal efficiency and the accidental coincidence background rate is important for the high accuracy measurement of the oscillation parameters and to understand systematic uncertainties associated with fluctuations in muon rate and random background rate. In this work, a data model is proposed to describe the full time sequence of all possible events on the live time axis. The acceptance of delayed coincidence signals, the rate of accidental backgrounds and other coincidence possibilities are calculated by assuming that all of the `net muons' are uniformly distributed on the live time axis. The intrinsic relative uncertainties in the event rates are at the $10^{-5}$ level for all combinations. The model and predictions are verified with a high statistics Monte Carlo study with a set of realistic parameters.
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http://arxiv.org/abs/1301.5085
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