Figure 1

From left to right, number of contained $\mu$-like events in a 5000 kton detector after 10 years exposure, within the $(-1,-0.9)$, $(-0.9,-0.8)$ and $(-0.8,-0.7)$ $c_{\nu }$ bin, assuming ${sin}^{2}2{\theta }_{13}=0.1$, $\delta =0$ and an energy bin size of 5 GeV, with a muon energy threshold for detection of 5 GeV. We show the $1\sigma$ statistical errors. The blue crosses (red circles) denote normal (inverted) hierarchy.Reuse & Permissions

Figure 2

Left (right panel): Oscillation probabilities for ${\nu }_e\to {\nu }_{\mu }$, ${\nu }_{\mu }\to {\nu }_{\mu }$ transitions for $c_{\nu }=-1$.Reuse & Permissions

Figure 3

${\nu }_{\mu }$ survival probability and ${\nu }_{\mu }\to {\nu }_{\tau }$ oscillation probability for $c_{\nu }=-1$, ${sin}^{2}2{\theta }_{13}=0.1$.Reuse & Permissions

Figure 4

Rejection regions of the “wrong” hierarchy model in the $({sin}^2{\theta }_{13},{\delta }_{cp})$ plane when the “true” hierarchy is normal (left panel) or inverted (right panel) as indicated in the heading of each plot. Different lines correspond to rejection regions of the “wrong” hierarchy at 68%, 90%, 95% and 99% CL (2 d.o.f.) using the muonlike contained events in a detector of mass times exposure of 100 Mt yr (5000 kton detector after 20 years of data taking, or 10 000 kton detector after 10 years of data taking in the optimistic scenario). We used the best-fit parameter values in Eqs. (1, 2, 3, 4).Reuse & Permissions

Figure 5

Same as Fig. 4 but including a 10% systematic error in our ${\chi }^2$ analysis.Reuse & Permissions

Figure 6

Left (right) panel: the different lines depict the 68% and 90% CL (2 d.o.f.) hierarchy resolution using the muonlike contained events in a detector with 100 Mt yr exposure, for normal (inverted) hierarchies, and the atmospheric mixing angle chosen to be ${\theta }_{23}=40°$. An overall 10% systematic error has been included in the ${\chi }^2$ analysis.Reuse & Permissions

Figure 7

Left (right) panel: the different lines depict the 68% and 90% CL (2 d.o.f.) hierarchy resolution using the muonlike contained events in a detector with 100 Mt yr exposure, for normal (inverted) hierarchies, and the atmospheric mixing angle chosen to be ${\theta }_{23}=50°$. An overall 10% systematic error has been included in the ${\chi }^2$ analysis.Reuse & Permissions

Figure 8

Left (right) panel: hierarchy resolution using the muonlike contained events in a detector with 100 Mt yr exposure, for normal (inverted) hierarchies, atmospheric mixing angle ${\theta }_{23}=45°$ as in Fig. 5 but now marginalized over $|\Delta m_{31}^2|$. An overall 10% systematic error has been included in the ${\chi }^2$ analysis.Reuse & Permissions