Extracting mass hierarchy information from simple analysis of neutrino mass splitting

Abstract

Based on the independent measurements on neutrino mass splitting [Formula: see text], and recent measurements by the T2K Collaboration, we carry out a simple fitting analysis on [Formula: see text] and [Formula: see text] in normal hierarchy and inverted hierarchy respectively, suggesting [Formula: see text] and [Formula: see text] in normal hierarchy, or [Formula: see text] and [Formula: see text] in inverted hierarchy. The simple analysis indicate that both normal and inverted hierarchies are consistent with current experimental measurements on mass splitting. The p-value for normal hierarchy and that for inverted hierarchy are 62% and 55%, respectively. This reveals a slight favor for the normal hierarchy. It is suggested that further measurements on the mass splitting with higher accuracy are necessary to determine the neutrino mass hierarchy.