AdS Black Disk Model for Small-xDeep Inelastic Scattering

Abstract

Using the approximate conformal invariance of QCD at high energies we consider a simple anti-de Sitter black disk model to describe saturation in deep inelastic scattering. Deep inside saturation the structure functions have the same power law scaling, F{T}∼F{L}∼x{-ω}, where ω is related to the expansion rate of the black disk with energy. Furthermore, the ratio F{L}/F{T} is given by the universal value 1+ω/3+ω, independently of the target. For γ{*}-γ{*} scattering at high energies we obtain explicit expressions and ratios for the total cross sections of transverse and longitudinal photons in terms of the single parameter ω.