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20 April 2024
 
  » arxiv » 1001.1157

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AdS black disk model for small-x DIS
Lorenzo Cornalba ; Miguel S. Costa ; Joao Penedones ;
Date 7 Jan 2010
AbstractUsing the approximate conformal invariance of QCD at high energies, we study saturation in Deep Inelastic Scattering (DIS) from the dual AdS perspective. We consider a simple AdS black disk model to describe the small Bjorken x regime inside the saturation region. Deep inside saturation the transverse and longitudinal structure functions have the same power law scaling, F_T ~ F_L ~ 1/x^w, where the exponent w is related to the expansion rate of the black disk with energy. Furthermore, in this kinematical regime the ratio F_L/F_T is given by the universal value (1+w)/(3+w), independently of the target. We also consider virtual photon-photon scattering at high energies and obtain explicit expressions and ratios for the total cross sections of transversally and longitudinally polarized photons in terms of the single parameter w of the black disk model.
Source arXiv, 1001.1157
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