Upper limit on the diffuse extragalactic radio background from GZK photon observation

Abstract

Here we point out that an observation of Ultra-High Energy Cosmic Ray (UHECR) photons, "GZK photons", could provide an upper limit on the level of the Extra-Galactic Radio Background, depending on the level of UHECR proton primaries (to be determined after a few years of data taking by the Pierre Auger Observatory upgrade AugerPrime). We also update our 2005 prediction of the range of GZK photon fluxes expected from proton primaries.