Figure 1

The evolution with density of the mass eigenvalues (squared) for the case of three active antineutrinos (a) for the normal hierarchy ($\Delta m_{31}^2>0$) and (b) for the inverse hierarchy ($\Delta m_{31}^2<0$).Reuse & Permissions

Figure 2

The evolution with density of the mass eigenvalues (squared) for the case of three active antineutrinos and two sterile antineutrinos, for the mass hierarchies (a) $\mathrm{N}2+\mathrm{N}3$, (b) $\mathrm{N}2+\mathrm{I}3$, (c) $\mathrm{H}2+\mathrm{N}3$, (d) $\mathrm{H}2+\mathrm{I}3$, (e) $\mathrm{I}2+\mathrm{N}3$ and (f) $\mathrm{I}2+\mathrm{I}3$. N3 and I3 correspond to the normal and inverse hierarchies in the active neutrino sector. N2 corresponds to the normal hierarchy in the sterile sector where $\Delta m_{51}^2>0$ and $\Delta m_{41}^2>0$. H2 corresponds to the half hierarchy in the sterile sector where either $\Delta m_{51}^2>0$ and $\Delta m_{41}^2<0$, or $\Delta m_{51}^2<0$ and $\Delta m_{41}^2>0$. I2 corresponds to the inverse hierarchy in the sterile sector where $\Delta m_{51}^2<0$ and $\Delta m_{41}^2<0$.Reuse & Permissions

Figure 3

The time evolution of the luminosity and average energy as calculated by the Lawrence Livermore group.Reuse & Permissions

Figure 4

(a) The density profile of the forward shock as a function of the distance from the core of the supernova. (b) The resulting flip probability as a function of time.Reuse & Permissions

Figure 5

(a) The density profile of the forward and reverse shock as a function of the distance from the core of the supernova. (b) The resulting flip probability as a function of time.Reuse & Permissions

Figure 6

An alternate density profile giving the same flip probability as shown in Fig. 5.Reuse & Permissions

Figure 7

The left-hand panel shows the number of photons ($N$) that would be detected in IceCube for the case of three active neutrinos only with either normal or inverted hierarchy. For inverted hierarchy we show the results where we disregard the shock effect (NS), consider only the effect of the forward shock (FS) and take effect of both the forward and reverse shocks (FRS). For normal hierarchy, the shock does not have any effect and we have the results denoted as N3 in the figure for all cases. The right-hand panel shows the difference ($\Delta N$) between the number of photons expected in presence of shock to the number of photons in absence of shock effects. The observed photons are split into 100 ms time bins and the width of the lines reflect the expected fluctuation in the photons detected.Reuse & Permissions

Figure 8

Same as Fig. 7 but with equal initial energy spectra for the active antineutrinos and different luminosities as discussed in the text. (a) and (b) are for the case called G1 while (c) and (d) show the case G2.Reuse & Permissions

Figure 9

The number of photons detected for a $\mathrm{N}2+\mathrm{I}3$ mass hierarchy calculated for 100 ms time bins with a forward shock (FS) and without a shock (NS).Reuse & Permissions

Figure 10

The number of additional photons detected in 100 ms time bins, for the cases of a forward shock (FS), a forward and reverse shock (FRS) and no shock (NS) for the mass hierarchies:(a) $\mathrm{N}2+\mathrm{I}3$, (b) $\mathrm{I}2+\mathrm{I}3$. The lower panels show the corresponding difference in between the number of photons expected due to the effect of the shock for the mass hierarchies: (c) $\mathrm{N}2+\mathrm{I}3$, (d) $\mathrm{I}2+\mathrm{I}3$.Reuse & Permissions

Figure 11

The number of photons expected in 10 ms time bins, due to a forward shock (FS) and a forward and reverse shock (FRS), for the mass hierarchies:(a) $\mathrm{N}2+\mathrm{N}3$, (b) $\mathrm{N}2+\mathrm{I}3$, (c) $\mathrm{H}2+\mathrm{N}3$, (d) $\mathrm{H}2+\mathrm{I}3$, (e) $\mathrm{I}2+\mathrm{N}3$. We show the results for both the solutions given in Table . Note that the shock wave has no observable effect for $\mathrm{I}2+\mathrm{I}3$.Reuse & Permissions

Figure 12

The difference in the number of expected photons in 10 ms time bins due to the effect of a forward shock (FS) and a forward and reverse shock (FRS), for the mass hierarchies: (a) $\mathrm{N}2+\mathrm{N}3$, (b) $\mathrm{N}2+\mathrm{I}3$, (c) $\mathrm{H}2+\mathrm{N}3$, (d) $\mathrm{H}2+\mathrm{I}3$, (e) $\mathrm{I}2+\mathrm{N}3$.Reuse & Permissions

Figure 13

The number of photons detected in 10 ms time bins due to the shock wave in various mass hierarchies, where (a) is for forward shock and $\Delta m_{51}^2=22{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.92{\mathrm{eV}}^2$, (b) is for forward shock and $\Delta m_{51}^2=0.89{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.46{\mathrm{eV}}^2$, (c) is for forward and reverse shock and $\Delta m_{51}^2=22{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.92{\mathrm{eV}}^2$, (d) is for forward and reverse shock and $\Delta m_{51}^2=0.89{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.46{\mathrm{eV}}^2$.Reuse & Permissions

Figure 14

The number of additional photons detected in 10 ms time bins due to the shock wave in various mass hierarchies, where (a) is for forward shock and $\Delta m_{51}^2=22{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.92{\mathrm{eV}}^2$, (b) is for forward shock and $\Delta m_{51}^2=0.89{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.46{\mathrm{eV}}^2$, (c) is for forward and reverse shock and $\Delta m_{51}^2=22{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.92{\mathrm{eV}}^2$, (d) is for forward and reverse shock and $\Delta m_{51}^2=0.89{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.46{\mathrm{eV}}^2$.Reuse & Permissions

Figure 15

Effect of changing the supernova neutrino model on the resultant signal in the detector. The number of photons expected in 10 ms time bins, due to a forward shock and $\Delta m_{51}^2=0.89{\mathrm{eV}}^2$, $\Delta m_{41}^2=0.46{\mathrm{eV}}^2$, for the mass hierarchies: (a) $\mathrm{N}2+\mathrm{N}3$, (b) $\mathrm{N}2+\mathrm{I}3$, (c) $\mathrm{H}2+\mathrm{N}3$, (d) $\mathrm{H}2+\mathrm{I}3$, (e) $\mathrm{I}2+\mathrm{N}3$, (f) $\mathrm{I}2+\mathrm{I}3$.Reuse & Permissions