Abstract
The highest-energy neutrino events identified so far were detected by the IceCube telescope between May and November 2013. Most of these events (21 out of 28) are cascade showers whose flux exhibits sharp hardening with respect to other lower-energy atmospheric neutrino components. These events suggest an injection of extraterrestrial neutrinos, mostly νe and ντ, making cascades. According to the IceCube consortium, a (10.63.6+5.0) component of these events must be a trace of expected downward muons and/or atmospheric neutrinos (mostly dominated by muon tracks). This implies that nearly all of the muon tracks observed (at least 6 of the 7) must be themselves of atmospheric origin. Therefore, the remaining 16–18 extraterrestrial events must be of mostly electron or tau flavor (or rare neutral current (NC) events). The probability of this scenario is very low (approx. 0.1–0.5%). This νμν¯μ paucity paradox cannot be solved if some or even all of the events are induced by terrestrially prompted charm signals, because the probability of this scenario is still less than 1.31%. The paradox might be solved if nearly all of the 28 events originate from extraterrestrial sources arriving in decoherent states. At first sight a partial flavor solution may arise if the highest-energy events at Eν>60TeV (17 showers vs 4 muon tracks) are mostly of extraterrestrial origin. However, this still leaves the problem of the earlier 30–60-TeV energy region, for which the eight showers and three tracks are in more in tension with most atmospheric neutrino signals, by a sharp difference at TeV energy ruled (as shown by Deep Core data) by 10 over one neutrino (muon) events over showers. This puzzling (fast) transition from an atmospheric νμν¯μ flux at TeV to tens of TeV has deep consequences: more abundant 10-TeV extraterrestrial neutrino maps may provide a better insight into astronomical clustering and sky anisotropy. In addition, counting of vertical vs horizontal (neutrino) muons crossing the whole IceCube (i.e., testing the zenith anisotropy of upward muons at tens of TeV) may also better disentangle and confirm their mostly extraterrestrial (or atmospheric; more vertical and isotropic vs horizontal, respectively) neutrino nature. A few cascade shower events in early annual Antares data might also test the ν flavor changes above ≥1012eV up to a rare event at ≃3×1013eV. Additional EeV τ air showers induced by UHE ντ within mountains or the Earth׳s surface observed during skimming and in terrestrial AUGER arrays might be rare, but correlated horizontal upward PeV τ air showers may soon be detected by ASHRA crown telescopes at mountain edges because of their Cherenkov flashes.
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