2018/04/01 by Leardini, Sara
#Data Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Statistics and Probability (physics.data-an)
paper · doi:10.48550/arxiv.1804.00314
At present, it is still unknown whether the correct mass ordering of the neutrino mass eigenstates is either m1, m2, m3 (Normal Hierarchy, NH), or m3, m1, m2 (Inverted Hierarchy, IH). The new analysis method proposed by Stanco et al. (arXiv:1707.07651v3) should fix some issues of the currently most used estimator, Δχ2, and make it possible to reach 5 σ measurements in less than six years of data taking with JUNO (Jiangmen Underground Neutrino Observatory) if a degeneracy in the atmospheric mass, Δm2atm, is accepted. In this note, the analysis introduced in the paper above was extended to more detailed studies on the dependence of the new F estimator to Δm2atm. A fit to the values of the new estimator as a function of Δm2atm, calculated for both the true hierarchy and the wrong hierarchy, was performed. The study of the fitting function showed that the average minimum counts, corresponding to the best value for Δm2atm, either for the true hierarchy or for the wrong hierarchy, are well separated, and allow to distinguish easily between NH and IH.