PeV IceCube signals and $H_0$ tension in the framework of Non-Local Gravity

Abstract: We study possible effects of non-local gravity corrections on the recent discovery by the IceCube collaboration reporting high-energy neutrino flux detected at energies of order PeV. Considering the 4-dimensional operator $\sim y_{\alpha \chi}\bar{{L_{{\alpha}}}}\, H\, \chi$, it is possible to explain both the IceCube neutrino rate and the abundance of Dark Matter, provided that non-local corrections are present in the cosmological background. Furthermore, the mechanism could constitute a natural way to address the $H_0$ tension issue.