The small $x$ behavior of the gluon structure function from total cross sections

Details The small $x$ behavior of the gluon structure function from total cross sections The small $x$ behavior of the gluon structure function from total cross sections

2006-05-31

arxiv.org/abs/hep-ph/0605338v2

Int.J.Mod.Phys.A23:151-165,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 3 figures; revised version; to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X08038019

Within a QCD-based eikonal model with a dynamical infrared gluon mass scale we discuss how the small $x$ behavior of the gluon distribution function at moderate $Q^{2}$ is directly related to the rise of total hadronic cross sections. In this model the rise of total cross sections is driven by gluon-gluon semihard scattering processes, where the behavior of the small $x$ gluon distribution function exhibits the power law $xg(x,Q^2)= h(Q^2)x^{-\epsilon}$. Assuming that the $Q^{2}$ scale is proportional to the dynamical gluon mass one, we show that the values of $h(Q^2)$ obtained in this model are compatible with an earlier result based on a specific nonperturbative Pomeron model. We discuss the implications of this picture for the behavior of input valence-like gluon distributions at low resolution scales.

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