Analytical evolution of nucleon structure functions with power corrections at twist-4 and predictions for ultra-high energy neutrino-nucleon cross section
Abstract
In this paper we present an analytic result for the evolution in Q2 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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