Properties of frequentist confidence levels derivatives

Abstract

In high energy physics, results from searches for new particles or rare processes are often reported using a modified frequentist approach, known as $\mathrm{C}{\mathrm{L}}_{\mathrm{s}}$ method. In this paper, we study the properties of the derivatives of $\mathrm{C}{\mathrm{L}}_{\mathrm{s}}$ and $\mathrm{C}{\mathrm{L}}_{\mathrm{s}+\mathrm{b}}$ as signal strength estimators if the confidence levels are interpreted as credible intervals. Our approach allows obtaining best fit points and ${\chi }^2$ functions which can be used for phenomenology studies. In addition, this approach can be used to incorporate $\mathrm{C}{\mathrm{L}}_{\mathrm{s}}$ results into Bayesian combinations.

References in corpus (1)

• Search for the rare decay KS -> mu+ mu-