Analysis of the logarithmic slope of $F_2$ from the Regge gluon density behavior at small $x$

Abstract

We study of the accuracy of the Regge behavior of the gluon distribution function for obtain an approximation relation, which is frequently used to extract the logarithmic slopes of the structure function from the gluon distribution at small $x$. We show that the Regge behavior analysis results are comparable with HERA data and also are better than other methods that expand of the gluon density at distinct points of expansion. Also we show that for $Q^2=22.4Ge{V}^2$, the $x$ dependence of the data is well described by gluon shadowing corrections to GLR-MQ equation. The resulting analytic expression allow us to predict the logarithmic derivative $\frac{\partial F_2(x,Q^2)}{\partial ln{Q}^2}$ and to compare the results with H1 data and a QCD analysis fit with MRST parametrization input.

3 pages, 1 figure

References in corpus (2)

• Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering
• Nonlinear correction to the longitudinal structure function at small x

Cited by in corpus (4)

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• Parton Distribution Functions of Heavy Mesons on the Light Front
• Small-x analysis on the effect of gluon recombinations inside hadrons in light of the GLR-MQ-ZRS equation
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function