Neutrino mass hierarchy and octant determination with atmospheric neutrinos
Vernon Barger, Raj Gandhi, Pomita Ghoshal, Srubabati Goswami, Danny, Marfatia, Suprabh Prakash, Sushant K. Raut, S. Uma Sankar

TL;DR
This paper demonstrates that a large magnetized liquid argon detector can determine the neutrino mass hierarchy and the octant of heta_{23} using atmospheric neutrinos, leveraging matter effects influenced by recent heta_{13} measurements.
Contribution
It shows the potential of a 50 kT detector to determine neutrino properties with significant confidence levels, considering recent experimental findings.
Findings
Mass hierarchy can be identified with >4 sigma significance.
Octant of heta_{23} can be determined at 2-3 sigma significance.
Detector sensitivity depends on exposure time and matter effects.
Abstract
The recent discovery by the Daya-Bay and RENO experiments, that \theta_{13} is nonzero and relatively large, significantly impacts existing experiments and the planning of future facilities. In many scenarios, the nonzero value of \theta_{13} implies that \theta_{23} is likely to be different from \pi/4. Additionally, large detectors will be sensitive to matter effects on the oscillations of atmospheric neutrinos, making it possible to determine the neutrino mass hierarchy and the octant of \theta_{23}. We show that a 50 kT magnetized liquid argon neutrino detector can ascertain the mass hierarchy with a significance larger than 4 sigma with moderate exposure times, and the octant at the level of 2-3 sigma with greater exposure.
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