Saturation in Deep Inelastic Scattering from AdS/CFT

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dc.creatorCornalba, Lorenzo
dc.creatorCosta, Miguel S.
dc.date2008-04-09
dc.date2009-03-19
dc.date.accessioned2026-07-07T12:53:22Z
dc.date.available2026-07-07T12:53:22Z
dc.descriptionWe analyze deep inelastic scattering at small Bjorken x, using the approximate conformal invariance of QCD at high energies. Hard pomeron exchanges are resummed eikonally, restoring unitarity at large values of the phase shift in the dual AdS geometry. At weak coupling this phase is imaginary, corresponding to a black disk in AdS. In this saturated regime, cross sections exhibit geometric scaling and have a simple universal form, which we test against available experimental data for the proton structure function F_2(x,Q^2). We predict, in particular, the dependence of the cross section on the scaling variable (Q/Q_s)^2 in the deeply saturated region, where Q_s is the usual saturation scale. We find agreement with current data on F_2 in the kinematical region 0.5 < Q^2 < 10 GeV^2, x < 10^-2, with an average 6% accuracy. We conclude by discussing the relation of our approach with the commonly used dipole formalism.
dc.description24 pages, 9 figures; (v2) data analysis improved, 4 new figures, added references; (v3) improved section on relation to dipole formalism
dc.identifierhttps://arxiv.org/abs/0804.1562
dc.identifierhttp://arxiv.org/abs/0804.1562
dc.identifierPhys.Rev.D78:096010,2008
dc.identifierdoi:10.1103/PhysRevD.78.096010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223601
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleSaturation in Deep Inelastic Scattering from AdS/CFT
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