On the analytical approximation to the GLAP evolution at small x and moderate Q^2

Abstract

Comparing the numerically evaluated solution to the leading order GLAP equations with its analytical small-x approximation we have found that in the domain covered by a large fraction of the HERA data the analytic approximation has to be augmented by the formally non-leading term which has been usually neglected. The corrected formula fits the data much better and provides a natural explanation of some of the deviations from the $\sigma$ scaling observed in the HERA kinematical range.

LaTeX, 13 pages including 6 figures, figure 5 replaced, to appear in Phys. Lett. B

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• Transverse momentum dependent parton densities in a proton from the generalized DAS approach
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• Comparative analysis of analytical solutions for $F_2^P$ at small $x$ in DGLAP approach
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• Analytic Approximation to the GLAP evolution of $F_2(x,Q^2)$ in the small-$x$ region