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Saturation in Deep Inelastic Scattering from AdS/CFT | | Lorenzo Cornalba
; Miguel S. Costa
; | | Date: |
9 Apr 2008 | | 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 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
relevant 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. | | Source: | arXiv, 0804.1562 | | Services: | Forum | Review | PDF | Favorites | |
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