Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-08-21
Phys.Rev. D57 (1998) 3786-3789
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 latex pages, 3 encapsulated postscript figures included, uses revtex.sty in two-column format and epsf.sty. Submitted to Phy
Scientific paper
10.1103/PhysRevD.57.3786
A cubic kilometer scale experiment has been proposed to detect cosmic neutrinos of energy from tens of GeV up to the highest energies observed for cosmic rays, around 10**20 eV, 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 about 0.19 to 0.24. The inclusive cross section is reduced by roughly half a percent. The dominant uncertainty of the standard model ultra-high 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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