On sensitivity calculations for neutrino oscillation experiments

TL;DR

This paper clarifies how to define and calculate sensitivity in neutrino oscillation experiments, emphasizing the importance of including uncertainties in nuisance parameters for accurate interpretation.

Contribution

It provides a clear definition of sensitivity and compares two common calculation methods, highlighting the role of nuisance parameter uncertainties.

Findings

Sensitivity definitions vary in the literature

Two calculation methods are analyzed and compared

Including nuisance parameter uncertainties is crucial for accurate sensitivity estimates

Abstract

Calculations of sensitivities of future experiments are a necessary ingredient in experimental high energy physics. Especially in the context of measurements of the neutrino oscillation parameters extensive studies are performed to arrive at the optimal configuration. In this note we clarify the definition of sensitivity as often applied in these studies. In addition we examine two of the most common methods to calculate sensitivity from a statistical perspective using a toy model. The importance of inclusion of uncertainties in nuisance parameters for the interpretation of sensitivity calculations is pointed out.