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Ultrahigh energy neutrino-nucleon cross section and radiative corrections
Phys. Rev. D 57, 3786 – Published 15 March, 1998
DOI: https://doi.org/10.1103/PhysRevD.57.3786
Abstract
Several proposals exist to detect cosmic neutrinos of energy from tens of GeV up to the highest energies observed for cosmic rays, or possibly even beyond. Detection efficiencies depend crucially on the neutrino-nucleon cross section at these energies at which radiative corrections beyond the lowest order approximation could become non-negligible. The differential cross sections can be modified by more than 50% in some regions of phase space. Estimates of corrections to the quantities most relevant for neutrino detection at these energies give, however, less dramatic effects: The average inelasticity in the outgoing lepton is increased from to The inclusive cross section is reduced by roughly half a percent. The dominant uncertainty of the standard model ultrahigh energy neutrino-nucleon cross section therefore still comes from uncertainties of the parton distributions in the nucleon at very low momentum fractions.
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