Lower Energy Consequences of an Anomalous High–Energy Neutrino Cross–Section
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 t...
| Main Authors: | , |
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| Format: | Text |
| Language: | English |
| Published: |
1998
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| Subjects: | |
| Online Access: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.347.8431 http://arxiv.org/pdf/hep-ph/9810533v1.pdf |
| Summary: | 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 νN scattering rate may occur for the The discoveries by the AGASA [1], Fly’s Eye [2], Haverah Park [3], and Yakutsk [4] collaborations of air shower events with energies above the Greisen–Zatsepin–Kuzmin (GZK) cutoff of ∼ 5×1019 eV challenge the Standard Model (SM) of particle physics and the hot big–bang model of cosmology. Not only is the mechanism for particle acceleration to such extremely |
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