Ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound

Abstract

We present a simple formula for the total cross section sigma^{nu N} of neutral- and charged-current deep-inelastic scattering of ultrahigh-energy neutrinos on isoscalar nuclear targets, which is proportional to the structure function F_2^{nu N}(M_V^2/s, M_V^2), where M_V is the intermediate-boson mass and s is the square of the center-of-mass energy. The coefficient in the front of F_2^{nu N}(x, Q^2) depends on the asymptotic low-x behavior of F_2^{nu N}. It contains an additional ln(s) term if F_2^{nu N} scales with a power of ln(1/x). Hence, an asymptotic low-x behavior F_2^{nu N} propto ln^2(1/x), which is frequently assumed in the literature, already leads to a violation of the Froissart bound on sigma^{nu N}.

arXiv comment5 pages, 2 figures, to appear in Physical Review Letters

References in corpus (16)

• New parton distributions for collider physics
• Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA
• Neutrino Interactions at Ultrahigh Energies
• Uncertainties on alpha_S in global PDF analyses and implications for predicted hadronic cross sections
• A Modification of the Saturation Model: DGLAP evolution
• High-energy neutrinos in the context of multimessenger physics
• Small x behaviour of parton distributions with soft initial conditions
• Small x behavior of parton distributions. A study of higher twist effects
• The Froissart bound for inelastic cross-sections
• Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering
• Ultrahigh energy neutrino scattering: an update
• Small x Behavior of Parton Distributions from the Observed Froissart Energy Dependence of the Deep Inelastic Scattering Cross Section
• Ultra-high energy neutrino scattering
• Ultra-high energy neutrino-nucleon interactions
• High energy neutrino cross sections
• The Description of $F_2$ at Very High Parton Densities

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