puzzle concerning their origin. The strange features of the measured flux could favor a top-down explanation instead of a more standard astrophysical one. The PeV neutrinos could be indeed orginated by the decay of very heavy Dark Matter particles. In particular, we consider a leptophyllic four body interaction term that has the characteristics to be "natural" in the coupling (no fine tuning required), and defined by a small number of free parameters. Moreover, the latest IceCube data show a 2-sigma excess at low energy (60 - 100 TeV) with respect to an astrosphysical power-law with spectral index -2. By means of a statistical analysis on the angular distribution of the arrival directions,we show that only the scenario of annihilitating Dark Matter is already excluded by IceCube data.