A new model test in high energy physics in frequentist and bayesian statistical formalisms

The problem of a new physical model test using observed experimental data is a typical one for modern experiments in high energy physics (HEP). A solution of the problem may be provided with two alternative statistical formalisms, namely frequentist and Bayesian, which are widely spread in contemporary HEP searches. A characteristic experimental situation is modeled from general considerations, and both the approaches are utilized in order to test a new model. The results are juxtaposed, which demonstrates their consistency in this work. An effect of a systematic uncertainty treatment in the statistical analysis is also considered.