Asymptotic formulae for estimating statistical significance of collider experiments

This paper elaborates and expands on earlier presented likelihood-based asymptotic methods of statistical analysis in high-energy physics. An explicit derivation of earlier presented asymptotic formulae for estimating the statistical significance of the discovery of new phenomena and setting upper limits on parameters of «new physics» models is given using the results of Wilks and Wald. The formulae obtained in combination with the use of the so-called «Asimov dataset» are of great interest due to their simplicity and the possibility of accounting for systematic uncertainties. The methodology of using these formulae is also shown in this paper and their accuracy is being verified by Monte Carlo modeling.