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arXiv · 1001.1157

AdS black disk model for small-x DIS

Lorenzo Cornalba·Miguel S. Costa·Joao Penedones
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Abstract

Using the approximate conformal invariance of QCD at high energies we consider a simple AdS black disk model to describe saturation in DIS. Deep inside saturation the structure functions have the same power law scaling, F_T ~ F_L ~ 1/x^w, where w 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+w)/(3+w), independently of the target. For virtual photon-photon 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 w.

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Lorenzo Cornalba, Miguel S. Costa, Joao Penedones. 2011-03-08. AdS black disk model for small-x DIS. https://doi.org/10.1103/physrevlett.105.072003

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