Mass hierarchy determination using atmospheric neutrinos for small $\theta_{13}$

TL;DR

This paper discusses methods for determining the neutrino mass hierarchy using atmospheric neutrinos, especially in the context of small mixing angle , but the original paper has been withdrawn and replaced.

Contribution

The paper aims to improve techniques for identifying neutrino mass hierarchy with atmospheric neutrinos at small  angles, offering a more comprehensive analysis in the extended version.

Findings

Enhanced sensitivity to neutrino mass hierarchy at small  angles

Development of new analysis techniques for atmospheric neutrino data

Improved accuracy in hierarchy determination methods

Abstract

This paper is withdrawn and a corrected, extended and more comprehensive paper is put on as arXiv:0905.2382.