A comparative study of the neutrino-nucleon cross section at ultra high energies

Abstract

The high energy neutrino cross section is a crucial ingredient in the calculation of the event rate in high energy neutrino telescopes. Currently there are several approaches which predict different behaviours for its magnitude for ultrahigh energies. In this paper we present a comparison between the predictions based on linear DGLAP dynamics, non-linear QCD and in the imposition of a Froissart-like behaviour at high energies. In particular, we update the predictions based on the Color Glass Condensate, presenting for the first time the results for ${\sigma }_{\nu N}$ using the solution of the running coupling Balitsky-Kovchegov equation. Our results demonstrate that the current theoretical uncertainty for the neutrino-nucleon cross section reaches a factor three for neutrinos energies around $10^{11}$ GeV and increases to a factor five for $10^{13}$ GeV.

6 pages, 3 figures

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Cited by in corpus (4)

• Cosmic Strings as Emitters of Extremely High Energy Neutrinos
• Tau Appearance from High-Energy Neutrino Interactions
• Estimating non-linear QCD effects in ultrahigh energy neutrino events at IceCube
• Implications of the QCD dynamics and a Super-Glashow astrophysical neutrino flux on the description of ultrahigh energy neutrino data