Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-05-21
Phys.Rev. D65 (2002) 093003
Astronomy and Astrophysics
Astrophysics
Final revised version, accepted by Phys. Rev. D; 18 pages, 7 figures
Scientific paper
10.1103/PhysRevD.65.093003
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.
Gazizov A. Z.
Yanush S. I.
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