What triggers $\theta_{13}$ discrepancy between Daya Bay and T2K?

TL;DR

The paper demonstrates that the discrepancy in measured neutrino mixing angle $ heta_{13}$ between Daya Bay and T2K experiments can be resolved within the standard three-neutrino framework by assuming specific parameter values, especially a normal hierarchy and $ heta_{13}$ around the T2K suggested value.

Contribution

It shows that the $ heta_{13}$ discrepancy can be explained by parameter choices consistent with T2K data, highlighting the role of the CP phase and mass hierarchy in neutrino oscillation analyses.

Findings

Overlap of $ heta_{13}$ measurements is possible with specific parameter sets.

Normal hierarchy favors T2K-suggested parameters for overlap.

Inverted hierarchy shows minimal overlap, only with T2K parameters.

Abstract

There seems to be a non-negligible discrepancy between Daya Bay and T2K experimental results of a neutrino mixing angle, $\theta_{13}$ . We show the discrepancy can be simply passed away even in the standard three neutrinos framework by taking the same value of $\Delta m^2_{32}$ with a normal neutrino mass hierarchy and Dirac CP phase $\delta = -\pi/ 2$, which is favorable in T2K experiment. For numerical analyses of neutrino oscillation probabilities, there are five independent parameters, $\Delta m_{21}^2$, $\Delta m_{32}^2$, $\theta_{12}$, $\theta_{23}$, and $\delta$. We reevaluate $\theta_{13}$ by scatter plots within $1 \sigma$ range of five-dimensional parameters space suggested by PDG, T2K, and Daya Bay. We project onto $\delta$-$\sin^2 2 \theta_{13}$ plane and find an overlap area of $\theta_{13}$ suggested by T2K and Daya Bay. In the normal hierarchy case, the largest overlap area is given by parameters set suggested by T2K, and the overlap area becomes small in order of parameters sets suggested by PDG and Daya Bay. In the inverted hierarchy case, there is a tiny overlap area only in parameters set suggested by T2K. We also show several sample points of four parameters set, $\Delta m_{21}^2$, $\Delta m_{32}^2$, $\theta_{12}$, and $\theta_{23}$, where the dissonance of $\theta_{13}$ is really disappeared with $\delta = -\pi/2$.