A search for a new resonance finds excess events above an expected background of…

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Probability, statistics and stochastic methods · Probability, statistics and stochastic methods

Particle Physics, Ch Detectors, event reconstruction and claiming a discovery

Problem

A search for a new resonance finds 240240 excess events above an expected background of 36003600 events in the mass window used for the search. Treating the background count as a Poisson count whose fluctuation is Nbkg\sqrt{N_{\rm bkg}}, compute the significance Nsig/NbkgN_{\rm sig}/\sqrt{N_{\rm bkg}} of the excess. State whether this reaches the conventional five-sigma discovery threshold.

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