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- W1772636217 abstract "We 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 anti-de Sitter (AdS) geometry. At weak coupling this phase is imaginary, corresponding to a black disk in AdS space. 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 $(Q/{Q}_{mathrm{s}}{)}^{2}$ in the deeply saturated region, where ${Q}_{mathrm{s}}$ is the usual saturation scale. We find agreement with current data on ${F}_{2}$ in the kinematical region $0.5<{Q}^{2}<10text{ }text{ }{mathrm{GeV}}^{2}$, $x<{10}^{ensuremath{-}2}$, with an average 6% accuracy. We conclude by discussing the relation of our approach with the commonly used dipole formalism." @default.
- W1772636217 created "2016-06-24" @default.
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- W1772636217 date "2008-11-17" @default.
- W1772636217 modified "2023-10-18" @default.
- W1772636217 title "Saturation in deep inelastic scattering from the AdS/CFT correspondence" @default.
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- W1772636217 doi "https://doi.org/10.1103/physrevd.78.096010" @default.
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