Lower Energy Consequences of an Anomalous High-Energy Neutrino Cross-Section

Abstract

A new strong-interaction has been postulated for neutrinos above ~10^{19} eV to explain the production of highest-energy cosmic ray events. We derive a dispersion relation relating the hypothesized high-energy cross-section to the lower-energy neutrino-nucleon elastic amplitude. Remarkably, we find that the real forward amplitude becomes anomalous seven orders of magnitude lower in energy than does the total cross-section. We discuss possible measurable consequences of this early onset of new neutrino physics, and conclude that a significantly enhanced elastic ν-N scattering rate may occur for the neutrino beams available at Fermilab and CERN.

13 pages, LaTex

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• Acceptances for Space-Based and Ground-Based Fluorescence Detectors, and Inference of the Neutrino-Nucleon Cross-Section above 10^19 eV
• Extensive air showers with TeV-scale quantum gravity
• Electroweak instantons as a solution to the ultrahigh energy cosmic ray puzzle
• p-Branes and the GZK Paradox
• Brane-Production and the Neutrino-Nucleon cross section at Ultra High Energies in Low Scale Gravity Models
• Ultrahigh-Energy Neutrino-Nucleon Cross Sections and Perturbative Unitarity
• Upper Bounds on the Neutrino-Nucleon Inelastic Cross Section
• Neutrino-Induced Giant Air Showers in Large Extra Dimension Models
• Cosmic rays at ultra high energies (Neutrinos!)
• Physics with Cosmic Neutrinos, PeV to ZeV