Asymptotic neutrino-nucleon cross section and saturation effects

Abstract

In this paper we present a simple analytic expression for the (spin-averaged) neutrino-nucleon cross section for ultra-high energies at twist-2, obtained as the asymptotic limit of our previous findings. This expression gives values for the cross section in remarkable numerical agreement with the previous numerical evaluation in the energy region relevant for forthcoming neutrino experiments. Moreover, we discuss the role and the relevance of saturation and recombination effects in our approach, in comparison with other recent suggestions.

arXiv comment19 pages, 2 figures

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• Probing low-x QCD with cosmic neutrinos at the Pierre Auger Observatory
• Ultrahigh energy neutrino scattering: an update
• Extracting the longitudinal structure function FL(x,Q2) at small x from a Froissart-bounded parametrization of F2(x,Q2)
• A comparative study of the neutrino-nucleon cross section at ultra high energies
• Transverse momentum dependent parton densities in processes with heavy quark generations
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• Nonlinear corrections on the parameterization methods
• Gluon evolution for the Berger-Block-Tan form of the structure function F2
• DGLAP Evolutions and cross-sections of Neutrino-Nucleon interaction at Ultra High energy