IceCube expectations for two high-energy neutrino production models at active galactic nuclei

Understand

We have determined the currently allowed regions of the parameter spaces of two representative models of diffuse neutrino flux from active galactic nuclei (AGN): one by Koers & Tinyakov (KT) and another by Becker & Biermann (BB).

• Our observable has been the number of upgoing muon-neutrinos expected in the 86-string IceCube detector, after 5 years of exposure, in the range 10^5 < E/GeV < 10^8.
• We have used the latest estimated discovery potential of the IceCube-86 array at the 5-sigma level to determine the lower boundary of the regions, while for the upper boundary we have used either the AMANDA upper bound on the neutrino flux or the more recent preliminary upper bound given by the half-completed IceCube-40 array (IC40).
• We have varied the spectral index of the proposed power-law fluxes, alpha, and two parameters of the BB model: the ratio between the boost factors of neutrinos and cosmic rays, Gamma_nu/Gamma_{CR}, and the maximum redshift of the sources that contribute to the cosmic-ray flux, zCRmax.