Saturation in Deep Inelastic Scattering from AdS/CFT

Details Saturation in Deep Inelastic Scattering from AdS/CFT Saturation in Deep Inelastic Scattering from AdS/CFT

2008-04-09

arxiv.org/abs/0804.1562v3

Phys.Rev.D78:096010,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 9 figures; (v2) data analysis improved, 4 new figures, added references; (v3) improved section on relation to dipole

Scientific paper

10.1103/PhysRevD.78.096010

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 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.

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