Higgs Statistics for Pedestrians

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We review the results of the Standard Model Higgs boson search at LEP. An emphasis is put on revealing the details behind the statistical procedure developed by the LEP Higgs working group. The procedure is explained using a toy model which allows the reader to estimate the significance of the experimental observation which led at the time to a scientific debate on whether LEP has observed a 115 GeV Higgs boson.
22 pages including 14 figures, typo corrected, compact plots replace "heavy" ones

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