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The IceCube experiment (IC) has recently observed 2 cascade events with energies between 1 and 10 PeV.
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We estimate the background at these energies to be around 10 − 4 10^{-4} events per year
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A. Ishihara, “IceCube: Ultra-High Energy Neutrinos,” Talk at Neutrino 2012, Kyoto, Japan, June 2012; slides available at http://neu2012.kek.jp/index.html
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