Upper bound on neutrino cross sections

Physics

Scientific paper

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Elastic Scattering, Neutrinos, Scattering Amplitude, Scattering Cross Sections, Asymptotic Methods, Extremum Values, High Energy Interactions, Particle Interactions

Scientific paper

Asymptotic bounds on the total cross sections of neutrino (weak) scattering processes are obtained. It is shown that the elastic neutrino-neutrino cross section obeys the following bound in the high energy region: sigma sub T (S) equals ImF(S,0)/S is less than or equal to const. (LogS) squared. Assumptions of analyticity, crossing, unitarity, polynomial boundaries, and a zero-condition on the absorptive part of the scattering amplitude, are used to obtain this bound.

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