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Analytical evolution of nucleon structure functions with power corrections at twist-4 and predictions for ultra-high energy neutrino-nucleon cross section

R. Fiore·L. L. Jenkovszky·A. V. Kotikov·F. Paccanoni·A. Papa·E. Predazzi
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Abstract

In this paper we present an analytic result for the evolution in $Q^2$ of the structure functions for the neutrino-nucleon interaction, valid at twist-2 in the region of small values of the Bjorken $x$ variable and for soft non-perturbative input. In the special case of flat initial conditions, we include in the calculation also the contribution of the twist-4 gluon recombination corrections, whose effect in the evolution is explicitly determined. Finally, we estimate the resulting charged-current neutrino-nucleon total cross section and discuss its behavior at ultra-high energies.

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R. Fiore, L. L. Jenkovszky, A. V. Kotikov, F. Paccanoni, A. Papa, E. Predazzi. 2004-12-01. Analytical evolution of nucleon structure functions with power corrections at twist-4 and predictions for ultra-high energy neutrino-nucleon cross section. https://doi.org/10.1103/physrevd.71.033002

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