Setting limits and making discoveries in CDF

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This paper presents the statistical methods used in setting limits and discovery significances in the search for new particles in the CDF experiment at the Fermilab Tevatron. For single-channel counting experiments the collaboration employs the classical Helene formula, with Bayesian integration over systematic uncertainties in the signal acceptance and background. For more complex cases such as spectral fits and combining channels, likelihood-based methods are used. In the discoveries of the top quark and B{sub c} meson, the significance was estimated from the probability of the null hypothesis, using toy Monte Carlo methods. Lastly, in the recent SUSY/Higgs Workshop the Higgs ... continued below

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90 Kilobytes pages

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Conway, J. May 15, 2000.

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This paper presents the statistical methods used in setting limits and discovery significances in the search for new particles in the CDF experiment at the Fermilab Tevatron. For single-channel counting experiments the collaboration employs the classical Helene formula, with Bayesian integration over systematic uncertainties in the signal acceptance and background. For more complex cases such as spectral fits and combining channels, likelihood-based methods are used. In the discoveries of the top quark and B{sub c} meson, the significance was estimated from the probability of the null hypothesis, using toy Monte Carlo methods. Lastly, in the recent SUSY/Higgs Workshop the Higgs Working Group used a method of combining channels and experiments based on the calculation of the joint likelihood for a particular experimental outcome, and averaging over all possible outcomes.

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90 Kilobytes pages

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  • Workshop on Confidence Limits, Geneva (CH), 01/17/2000--01/18/2000

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  • Report No.: FERMILAB-Conf-00/048-E
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 754856
  • Archival Resource Key: ark:/67531/metadc707985

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  • May 15, 2000

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 1, 2016, 6:41 p.m.

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Conway, J. Setting limits and making discoveries in CDF, article, May 15, 2000; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc707985/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.