Probing the sensitivity to leptonic $\delta_{CP}$ in presence of invisible decay of $\nu_3$ using atmospheric neutrinos

TL;DR

This paper investigates how the invisible decay of the third neutrino mass state affects the ability to measure the leptonic CP-violating phase using atmospheric neutrino data, considering detector resolutions and uncertainties.

Contribution

It provides a detailed analysis of the impact of invisible neutrino decay on CP sensitivity and identifies detector requirements for reliable measurements.

Findings

Invisible decay reduces sensitivity to P

Optimal detector resolutions are crucial for accurate measurements

Systematic uncertainties significantly affect CP sensitivity

Abstract

One of the main neutrino oscillation parameters whose value has not been determined very precisely is the leptonic $\delta_{CP}$ phase. Since neutrinos have a tiny but finite mass they can undergo decay both visibly and invisibly. The effect of invisible decay of the third mass eigen state $\nu_3$ on the sensitivity to $\delta_{CP}$ is analysed here using atmospheric neutrino and anti-neutrino events. Effects of detector resolutions and systematic uncertainties are studied to identify the optimum resolutions and efficiencies required by a detector to obtain a significant sensitivity even in presence of decay.