Asymptotic formulae for likelihood-based tests of new physics

Details Asymptotic formulae for likelihood-based tests of new physics Asymptotic formulae for likelihood-based tests of new physics

2010-07-10

arxiv.org/abs/1007.1727v2

Eur.Phys.J.C71:1554,2011

Physics

Data Analysis, Statistics and Probability

Scientific paper

10.1140/epjc/s10052-011-1554-0

We describe likelihood-based statistical tests for use in high energy physics for the discovery of new phenomena and for construction of confidence intervals on model parameters. We focus on the properties of the test procedures that allow one to account for systematic uncertainties. Explicit formulae for the asymptotic distributions of test statistics are derived using results of Wilks and Wald. We motivate and justify the use of a representative data set, called the "Asimov data set", which provides a simple method to obtain the median experimental sensitivity of a search or measurement as well as fluctuations about this expectation.

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