Correcting the Minimization Bias in Searches for Small Signals

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages, 5 figues

Scientific paper

10.1016/S0168-9002(03)00428-5

We discuss a method for correcting the bias in the limits for small signals if those limits were found based on cuts that were chosen by minimizing a criterion such as sensitivity. Such a bias is commonly present when a "minimization" and an "evaluation" are done at the same time. We propose to use a variant of the bootstrap to adjust the limits. A Monte Carlo study shows that these new limits have correct coverage.

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