English

AdS black disk model for small-x DIS

High Energy Physics - Phenomenology 2011-03-09 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1001.1157,
  title  = {AdS black disk model for small-x DIS},
  author = {Lorenzo Cornalba and Miguel S. Costa and Joao Penedones},
  journal= {arXiv preprint arXiv:1001.1157},
  year   = {2011}
}

Comments

5 pages. Minor corrections

R2 v1 2026-06-21T14:32:07.781Z