Dark matter interpretation of the ANITA anomalous events

The ANITA collaboration recently reported the detection of two anomalous upward-propagating extensive air showers exiting the Earth with relatively large emergence angles and energies in the range O(0.5-1) EeV. We interpret these two events as coming from the decay of a massive dark matter candidate (m(DM) greater than or similar to 10(9) GeV) decaying into a pair of right-handed neutrinos. While propagating through the Earth, these extremely boosted decay products convert eventually to tau-leptons which lose energy during their propagation and produce showers in the atmosphere detectable by ANITA at emergence angles larger than what Standard Model neutrinos could ever produce. We performed Monte Carlo simulations to estimate the propagation and energy loss effects and derived differential effective areas and number of events for the ANITA and the IceCube detectors. Interestingly, the expected number of events for IceCube is of the very same order of magnitude as the number of events observed by ANITA but at larger emergence angles, and energies less than or similar to 0.1 EeV. Such features match perfectly with the presence of the two upward-going events IceCube-140109 and IceCube-121205 that have been exhibited from a recent reanalysis of IceCube data samples.