Understanding and visualizing the statistical analysis of SN1987A neutrino data

TL;DR

This paper discusses how to understand and visualize the statistical analysis of SN1987A neutrino data, emphasizing pedagogical methods for interpreting low-statistics astrophysical data.

Contribution

It provides a pedagogical framework for understanding and visualizing the statistical analysis of SN1987A neutrino data, addressing challenges in low-statistics data interpretation.

Findings

Clarifies the interpretation of statistical analyses in neutrino data

Highlights the importance of unbinned methods for low-statistics data

Provides visualization techniques for data-model comparison

Abstract

The SN1987A detection through neutrinos was an event of great importance in neutrino physics, being the first detection of neutrinos created outside our solar system, and then inaugurating the era of experimental neutrino astronomy. The data have been largely studied in many different analysis, and has presented several challenges in different aspects, since both supernova explosion dynamics and neutrino flavour conversion in such extreme environment still have many unknowns. In addition, the low statistics also invoke the need of unbinned statistical methods to compare any model proposal with data. In this paper we focus on a discussion about the most used statistical analysis interpretation, presenting a pedagogical way to understand and visualize this comparison.