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AdS black disk model for small-x deep inelastic scattering
Lorenzo Cornalba1, Miguel S Costa, João Penedones
1Centro de Física do Porto e Departamento de Física e Astronomia da Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal.
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.
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