Analysis of Low-$x$ Gluon Density from the $F_2$ Scaling Violations

Abstract

We present an analysis of the current methods of approximate determination of the gluon density $G(x,Q^2)$ at low-$x$ from the scaling violations of the proton structure function $F_2(x,Q^2)$. The gluon density is obtained from DGLAP equation by expansion at distinct points of expansion. We show that the different results given by the proposed methods can be obtained from one new expression considering the adequate points of expansion. It is shown in which case the approximate determination of $G(x,Q^2)$ is reasonable.

11 pages, 5 figures

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• Pinning down the Glue in the Proton
• QCD evolution of the gluon density in a nucleus
• The Gluon Density of the Proton at Low $x$ from a QCD Analysis of $F_2$
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• Physical limits in the Color Dipole Model Bounds
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
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• Analytic Approach to the Approximate Solution of the Independent DGLAP Evolution Equations with Respect to the Hard-Pomeron Behavior
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