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

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dc.creatorLuna, E. G. S.
dc.creatorNatale, A. A.
dc.creatorZanetti, C. M.
dc.date2006-05-31
dc.date2007-08-29
dc.date.accessioned2026-07-07T11:26:58Z
dc.date.available2026-07-07T11:26:58Z
dc.descriptionWithin 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 $xg(x,Q^2)= h(Q^2)x^{-ε}$. 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.
dc.description19 pages, 3 figures; revised version; to appear in Int. J. Mod. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-ph/0605338
dc.identifierhttp://arxiv.org/abs/hep-ph/0605338
dc.identifierInt.J.Mod.Phys.A23:151-165,2008
dc.identifierdoi:10.1142/S0217751X08038019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196004
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe small $x$ behavior of the gluon structure function from total cross sections
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