Signal Significance in the Presence of Systematic and Statistical Uncertainties

Details Signal Significance in the Presence of Systematic and Statistical Uncertainties Signal Significance in the Presence of Systematic and Statistical Uncertainties

2002-07-10

arxiv.org/abs/hep-ph/0207130v4

JHEP 0209 (2002) 060; Nucl.Instrum.Meth. A502 (2003) 795-798

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages (1 LaTeX file), 6 eps files (figures), generalized system in Sect.4 and added Fig.6, Presented at the ACAT'2002

Scientific paper

10.1016/S0168-9002(03)00586-2

The incorporation of uncertainties to calculations of signal significance in planned experiments is an actual task. Several approaches to this problem are discussed. We present a procedure for taking into account the systematic uncertainty related to nonexact knowledge of signal and background cross sections. A method of a treatment of statistical errors of the expected signal and background rates is proposed. The interrelation between Gamma- and Poisson distributions is demonstrated.

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