Global oscillation data analysis on the $3\hat{I}½$ mixing without unitarity

Abstract

We present results of a combined analysis in neutrino oscillations without unitarity assumption in the $3\hat{I}½$ mixing picture. Constraints on neutrino mixing matrix elements are based on recent data from the reactor, solar and long-baseline accelerator neutrino oscillation experiments. The current data are consistent with the standard $3\hat{I}½$ scheme. The precision on different matrix elements can be as good as a few percent at $3\ddot{I}ƒ$ CL, and is mainly limited by the experimental statistical uncertainty. The $\hat{I}{½}_e$ related elements are the most precisely measured among all sectors with the uncertainties $<20\%$. The measured leptonic CP violation is very close to the one assuming the standard $3\hat{I}½$ mixing. The deviations on normalization and the unitarity triangle closure are confined within $\mathcal{O}(10^{-3})$, $\mathcal{O}(10^{-2})$ and $\mathcal{O}(10^{-1})$, for $\hat{I}{½}_e$, $\hat{I}{½}_{\hat{I}}¼$ and $\hat{I}{½}_{\ddot{I}}„$ sectors, respectively. We look forward to the next-generation neutrino oscillation experiments \textit{such as} DUNE, T2HK, and JUNO, especially the precise measurements on $\hat{I}{½}_{\ddot{I}}„$ oscillations, to significantly improve the precision of unitarity test on the $3\hat{I}½$ mixing matrix.