Evidence for a break in the spectrum of astrophysical neutrinos
Luis A. Anchordoqui, Martin M. Block, Loyal Durand, Phuoc Ha, Jorge F., Soriano, and Thomas J. Weiler

TL;DR
This paper analyzes IceCube's astrophysical neutrino data, providing evidence for a spectral break around a few PeV, and predicts related event rates for future detections.
Contribution
It presents the first statistical evidence for a spectral break in astrophysical neutrinos using IceCube data and forecasts associated event rates.
Findings
3 sigma evidence for a spectral break
Predicted Glashow event rates near 6.3 PeV
Estimated double-bang tau neutrino event rates
Abstract
The announcement by the IceCube Collaboration of the observation of 53 astrophysical neutrino candidates in the energy range 0.03 \alt E_\nu/PeV \alt 2 has been greeted with a great deal of justified excitement. Herein we provide fits of single and a broken power-law energy-spectra to these high-energy starting events (HESEs). By comparing our statistical results from fits to (background-free) shower HESE data with the spectral shape of muon neutrinos recently reported by the IceCube Collaboration, we show that there is (3 \sigma) evidence for a break in the spectrum of astrophysical neutrinos. After that we use the fitted result to predict the rate of Glashow events (in the ~ 6.3 PeV region) and double-bang tau neutrino events (in the PeV region) just at the threshold of IceCube detection.
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