Asymptotic formulae for likelihood-based tests of new physics

  title={Asymptotic formulae for likelihood-based tests of new physics},
  author={Glen Cowan and Kyle Cranmer and E. Gross and Ofer Vitells},
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… CONTINUE READING
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