“…Constraints seem to be more stringent using the photon background by Kneiske et al (2004), favored by the Fermi observations (Abdo et al 2010) and in this case the photon flux in the SFR evolution case appears to be very close to the Fermi bounds. Here, we confirm previous results by Berezinsky et al (2010a) and Ahlers et al (2010), claiming that in the framework of the dip model, the Fermi measurements of the diffuse gamma-ray flux actually involve strong limitations on the expected cosmogenic neutrino fluxes. By themselves, indeed, ruling out basically all models that yields neutrino fluxes higher than the SFR model, they imply neutrino fluxes almost an order of magnitude lower than the upper limit of the Pierre Auger Observatory (see Abraham et al 2009a,b;Tiffenberg et al 2009;Abreu et al 2001;and Fig.…”