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}.

5 pages, 2 figures, to appear in Physical Review Letters

References in corpus (6)

• New parton distributions for collider physics
• High-energy neutrinos in the context of multimessenger physics
• 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
• Small x Behavior of Parton Distributions from the Observed Froissart Energy Dependence of the Deep Inelastic Scattering Cross Section
• Ultra-high energy neutrino scattering

Cited by in corpus (8)

• Connection of the virtual ${\gamma }^{\ast }p$ cross section of $ep$ deep inelastic scattering to real $\gamma p$ scattering, and the implications for $\nu N$ and $ep$ total cross sections
• Extracting the longitudinal structure function FL(x,Q2) at small x from a Froissart-bounded parametrization of F2(x,Q2)
• Probing New Physics at Future Tau Neutrino Telescopes
• High-energy neutrino deep inelastic scattering cross sections
• Color dipole cross section and inelastic structure function
• Implications of the QCD dynamics and a Super-Glashow astrophysical neutrino flux on the description of ultrahigh energy neutrino data
• Gluon evolution for the Berger-Block-Tan form of the structure function F2
• Froissart Bound, Diffraction Scattering of Hadrons and Scaling at Asymptotic Energies