@article{02c30f4055c04f97a6ccc7d2e4e41a00,
title = "Asymptotic formulae for likelihood-based tests of new physics",
abstract = "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 ofWilks andWald.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.",
author = "Glen Cowan and Kyle Cranmer and Eilam Gross and Ofer Vitells",
note = "Funding Information: Acknowledgements The authors would like to thank Louis Fayard, Nancy Andari, Francesco Polci and Marumi Kado for fruitful discussions. We received useful feedback at the Banff International Research Station, specifically from Richard Lockhart and Earl Lawrence. One of us (E.G.) is obliged to the Benoziyo Center for High Energy Physics, to the Israeli Science Foundation (ISF), the Minerva Gesellschaft and the German Israeli Foundation (GIF) for supporting this work. K.C. is supported by US National Science Foundation grant PHY-0854724. G.C. thanks the UK Science and Technology Facilities Council as well as the Einstein Center at the Weizmann Institute of Science, where part of his work on this paper was done. Funding Information: The authors would like to thank Louis Fayard, Nancy Andari, Francesco Polci and Marumi Kado for fruitful discussions. We received useful feedback at the Banff International Research Station, specifically from Richard Lockhart and Earl Lawrence. One of us (E.G.) is obliged to the Benoziyo Center for High Energy Physics, to the Israeli Science Foundation (ISF), the Minerva Gesellschaft and the German Israeli Foundation (GIF) for supporting this work. K.C. is supported by US National Science Foundation grant PHY-0854724. G.C. thanks the UK Science and Technology Facilities Council as well as the Einstein Center at theWeizmann Institute of Science, where part of his work on this paper was done. Publisher Copyright: {\textcopyright} The Author(s) 2011.",
year = "2011",
month = feb,
day = "1",
doi = "10.1140/epjc/s10052-011-1554-0",
language = "English (US)",
volume = "71",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer New York",
number = "2",
}