Revisiting the sensitivity studies for leptonic CP violation and mass hierarchy with T2K, NOvA and LBNE experiments

TL;DR

This paper evaluates the sensitivity of T2K, NOvA, and LBNE neutrino experiments to leptonic CP violation and mass hierarchy, analyzing parameter correlations and the impact of uncertainties over a decade of data collection.

Contribution

It provides a comprehensive sensitivity analysis for multiple experiments, including correlations between parameters and the effect of cross section uncertainties, for the first time over a 10-year period.

Findings

Sensitivity to CP violation depends on $ heta_{13}$, $ heta_{23}$, and $ heta_{CP}$.

Cross section uncertainties significantly affect LBNE's CP violation sensitivity.

Combined data from T2K, NOvA, and LBNE enhances hierarchy and CP violation discovery potential.

Abstract

Precision measurement of the neutrino mixing parameters and the determination of mass hierarchy are the primary goals of the present and upcoming neutrino experiments. In this work, we study the sensitivity of T2K,NO$\nu$A and LBNE experiments to discover leptonic CP violation and the determination of neutrino mass hierarchy. We obtain the correlation between the CP violating phase $\delta_{CP}$ and the mixing angles $\theta_{13}$, $\theta_{23}$ and the sensitivity to determine the octant of atmospheric mixing angle $\theta_{23}$. The entire analysis is done for a total 10 years (5$\nu$+ 5$\bar \nu$) of running of T2K, NO$\nu$A and LBNE experiments. Furthermore, we also consider the impact of cross section uncertainties on the CP violation sensitivity of LBNE experiment.