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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.

Physical Review Letters
|September 28, 2010
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Summary
This summary is machine-generated.

This study uses a black disk model to explain deep inelastic scattering saturation at high energies. The model predicts universal scaling laws for structure functions and photon-photon scattering cross sections, dependent on a single parameter.

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Area of Science:

  • High-energy particle physics
  • Quantum Chromodynamics (QCD)
  • Black hole physics

Background:

  • Deep inelastic scattering (DIS) reveals the internal structure of hadrons.
  • At high energies, saturation phenomena become significant in DIS.
  • QCD provides the theoretical framework for understanding strong interactions.

Purpose of the Study:

  • To model saturation in deep inelastic scattering using an anti-de Sitter black disk model.
  • To explore the consequences of approximate conformal invariance of QCD at high energies.
  • To derive universal scaling laws and ratios for structure functions and scattering cross sections.

Main Methods:

  • Utilizing the approximate conformal invariance of QCD.
  • Employing a simple anti-de Sitter black disk model.
  • Analyzing deep inelastic scattering and photon-photon scattering at high energies.

Main Results:

  • Structure functions exhibit power-law scaling (F{T}∼F{L}∼x{-ω}) deep inside saturation.
  • The ratio F{L}/F{T} is universally determined by 1+ω/3+ω.
  • Explicit expressions for transverse and longitudinal photon cross sections in γ{*}-γ{*} scattering were obtained.

Conclusions:

  • The black disk model successfully describes saturation phenomena in DIS.
  • The derived universal ratios offer testable predictions for high-energy scattering experiments.
  • The parameter ω characterizes the energy-dependent expansion of the black disk.