Equivalence between hybrid CLs and bayesian methods for limit setting

TL;DR

This paper demonstrates that hybrid CLs and Bayesian methods for limit setting are equivalent in single-channel counting experiments, even with uncertain background yields.

Contribution

It establishes the theoretical equivalence between hybrid CLs and Bayesian methods in the context of single-channel counting experiments with background uncertainties.

Findings

Hybrid CLs and Bayesian methods are equivalent in the single-channel case.

The equivalence holds even when background yields are not perfectly known.

The analysis is limited to counting experiments.

Abstract

The relation between hybrid CLs and bayesian methods used for limit setting is discussed. It is shown that the two methods are equivalent in the single channel case even when the background yield is not perfectly known. Only counting experiments are considered in this document.