Appearance-Disappearance Relation in 3+$N_{s}$ Short-Baseline Neutrino Oscillations

TL;DR

This paper derives a fundamental relation between appearance and disappearance oscillation amplitudes in 3+$N_{s}$ neutrino mixing models, revealing the origin of tension in experimental data analyses.

Contribution

It introduces a new theoretical relation that explains the appearance-disappearance tension in short-baseline neutrino oscillation data.

Findings

The relation explains the origin of the tension in existing data.

It demonstrates the relation's effectiveness in 3+1 and 3+2 mixing cases.

Global fit results support the relation's relevance.

Abstract

We derive the relation between the amplitudes of short-baseline appearance and disappearance oscillations in 3+$N_{s}$ neutrino mixing schemes which is the origin of the appearance-disappearance tension that is found from the analysis of the existing data in any 3+$N_{s}$ neutrino mixing scheme. We illustrate the power of the relation to reveal the appearance-disappearance tension in the cases of 3+1 and 3+2 mixing using the results of global fits of short-baseline neutrino oscillation data.