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The phenomenological consequences of the residual Z^s_2 and Zbar^s_2symmetries are explored in detail. With a precisely measured value of thereactor angle, these two residual symmetries predict distinct distributions forthe Dirac CP phase and the atmospheric angle, which leads to the possibility ofidentifying them at neutrino experiments. For both symmetries, it is possibleto resolve the neutrino mass hierarchy in most of the parameter space, and theycan be distinguished from one another if the true residual symmetry is Z^s_2and the atmospheric angle is non-maximal. These results are obtained using anequally split schedule: a 1.5-year run of neutrinos and a 1.5-year run ofantineutrinos at NOvA together with a 2.5-year run of neutrinos and a 2.5-yearrun of antineutrinos at T2K. This schedule can significantly increase andstabilize the sensitivities to the mass hierarchy and the octant of theatmospheric angle with only a moderate compromise to the sensitivity ofdistinguishing Z^s_2 and Zbar^s_2.

Phenomenological Study of Residual Z^s_2 and Zbar^s_2 Symmetries