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Upper bounds on the neutrino–nucleon inelastic cross section

L A Anchordoqui1,2, Z Fodor3,4, S D Katz3,5, A Ringwald1 and H Tu1

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Extraterrestrial neutrinos can initiate deeply developing air showers, and those that traverse the atmosphere unscathed may produce cascades in the ice or water. Up to now, no such events have been observed. This can be translated into upper limits on the diffuse neutrino flux. On the other hand, the observation of cosmic rays with primary energies >1010 GeV suggests that there is a guaranteed flux of cosmogenic neutrinos, arising from the decay of charged pions (and their muon daughters) produced in proton interactions with the cosmic microwave background. In this work, armed with these cosmogenic neutrinos and the increased exposure of neutrino telescopes, we obtain up-to-date model independent upper bounds on the neutrino–nucleon inelastic cross section. Uncertainties in the cosmogenic neutrino flux are discussed and taken into account in our analysis. The prospects for improving these bounds with the Pierre Auger Observatory are also estimated. The unprecedented statistics to be collected by this experiment in 6 yr of operation will probe the neutrino–nucleon inelastic cross section at the level of Standard Model predictions.


Keywords

ultra high energy cosmic rays

neutrino properties

ultra high energy photons and neutrinos

extra dimensions

PACS

96.50.sb Composition, energy spectra and interactions

13.15.+g Neutrino interactions

96.50.sd Extensive air showers

98.70.Vc Background radiations

13.20.Cz Decays of pi mesons

95.30.Cq Elementary particle processes

Subjects

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 06 (June 2005)

Received 18 October 2004, accepted for publication 22 June 2005

Published 30 June 2005



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