Hard pomeron enhancement of ultrahigh-energy neutrino-nucleon cross-sections

Abstract

An unknown small-x behavior of nucleon structure functions gives appreciable uncertainties to high-energy neutrino-nucleon cross-sections. We construct structure functions using at small x Regge inspired description by A. Donnachie and P. V. Landshoff with soft and hard pomerons, and employing at larger x the perturbative QCD expressions. The smooth interpolation between two regimes for each Q^2 is provided with the help of simple polynomial functions. To obtain low-x neutrino-nucleon structure functions $F_2^{\nu N,\bar{\nu }N}(x,Q^2)$ and singlet part of $F_3^{\nu N,\bar{\nu }N}(x,Q^2)$ from Donnachie-Landshoff function $F_2^{ep}(x,Q^2)$, we use the Q^2-dependent ratios R_2(Q^2) and R_3(Q^2) derived from perturbative QCD calculations. Non-singlet part of F_3 at low x, which is very small, is taken as power-law extrapolation of perturbative function at larger x. This procedure gives a full set of smooth neutrino-nucleon structure functions in the whole range of x and Q^2 at interest. Using these structure functions, we have calculated the neutrino-nucleon cross-sections and compared them with some other cross-sections known in literature. Our cross-sections turn out to be the highest among them at the highest energies, which is explained by contribution of the hard pomeron.

Final revised version, accepted by Phys. Rev. D; 18 pages, 7 figures

References in corpus (2)

• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• New data and the hard pomeron

Cited by in corpus (5)

• Acceptances for Space-Based and Ground-Based Fluorescence Detectors, and Inference of the Neutrino-Nucleon Cross-Section above 10^19 eV
• Limits on the flux of tau neutrinos from 1 PeV to 3 EeV with the MAGIC telescopes
• Ultra-high energy neutrino-nucleon interactions
• Cosmic UHE Neutrino Signatures
• Searching for tau neutrinos with Cherenkov telescopes