Small-x behavior of the structure function and its slope for “frozen” and analytic strong-coupling constants |
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| Authors: | Gorazd Cveti
Alexey Yu Illarionov Bernd A Kniehl Anatoly V Kotikov |
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| Institution: | aDepartment of Physics, Universidad Técnica Federico Santa María, Avenida España 1680, Casilla 110–V, Valparaío, Chile;bInternational School for Advanced Studies SISSA, via Beirut 2–4, 34014 Trieste, Italy;cINFN, Sezione di Trieste, Trieste, Italy;dII. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany |
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| Abstract: | Using the leading-twist approximation of the Wilson operator product expansion with “frozen” and analytic versions of the strong-coupling constant, we show that the Bessel-inspired behavior of the structure function F2 and its slope ∂lnF2/∂ln(1/x) at small values of x, obtained for a flat initial condition in the DGLAP evolution equations, leads to good agreement with experimental data of deep-inelastic scattering at DESY HERA. |
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| Keywords: | Deep-inelastic scattering Proton structure function |
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