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This paper explores the effects of changes in matter density profiles on neutrino oscillation probabilities, and whether these could potentially be seen by the future Hyper-Kamiokande long-baseline oscillation experiment (T2HK). The analysis is extended to include the possibility of having an additional detector in Korea (T2HKK). In both cases, we find that these effects will be immeasurable, as the magnitudes of the changes in the oscillation probabilities induced in all density profile scenarios considered here remain smaller than the estimated experimental sensitivity to the oscillation probabilities of each experiment, for both appearance and disappearance channels. Therefore, we conclude that using a constant density profile is sufficient for both the T2HK and T2HKK experiments. [ABSTRACT FROM AUTHOR]

It has been pointed out that the mixing of an eV-scale sterile neutrino with active flavors can lead to a loss of sensitivity to the θ23 octant (sign of sin²θ23-1/2) in long baseline experiments, because the main oscillation probability P0=4sin²θ23sin2θ13sin2Δ31 can be degenerate with the sum of the interferences with the solar oscillation amplitude and an active-sterile oscillation amplitude in both neutrino and antineutrino oscillations, depending on the CP phases. In this paper, we show that the above degeneracy is resolved by measuring the same beam at different baseline lengths. We demonstrate that the Tokai-to-Hyper-Kamiokande-to-Korea (T2HKK) experiment (one 187 kton fiducial volume water Cerenkov detector is placed at Kamioka, L=295  km, and another detector is put in Korea, L∼1000  km) exhibits a better sensitivity to the θ23 octant in those parameter regions where the experiment with the two detectors at Kamioka is insensitive to it. Therefore, if a hint of sterile-active mixings is discovered in short baseline experiments, T2HKK is a better option than the plan of placing two detectors at Kamioka. We also consider an alternative case where one detector is placed at Kamioka and a different detector is at Oki Islands, L=653  km, and show that this configuration also leads to a better sensitivity to the θ23 octant. [ABSTRACT FROM AUTHOR]