Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-03-19
Phys.Lett. B514 (2001) 103-108
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 3 figures, RevTeX, additional references
Scientific paper
10.1016/S0370-2693(01)00545-7
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 $E_\nu \simeq 10^8 {\rm GeV}$. 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.
Dicus Duane A.
Kretzer Stefan
Repko Wayne W.
Schmidt Carl
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