arXiv · hep-ph/0103207
Ultrahigh-Energy Neutrino-Nucleon Cross Sections and Perturbative Unitarity
Abstract
Unitarity relates the total cross section for neutrino-nucleon scattering to the neutrino-nucleon forward scattering amplitude. Assuming the validity of the perturbative expansion of the forward amplitude in the {\em weak} coupling constant, we derive a unitarity bound on the inelastic cross section. The inelastic cross section saturates this bound at a typical neutrino energy $E_ν\simeq 10^8 {\rm GeV}$. This implies that calculations of the inelastic cross section that use current parton distribution functions and lowest order weak perturbation theory are unreliable above this energy.
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Duane A. Dicus, Stefan Kretzer, Wayne W. Repko, Carl Schmidt. 2001-03-28. Ultrahigh-Energy Neutrino-Nucleon Cross Sections and Perturbative Unitarity. https://doi.org/10.1016/s0370-2693(01)00545-7
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