Saturation and BFKL dynamics in the HERA data at small-x

2003/10/30 by Edmond Iancu, E. Iancu, K. Itakura +2 · 10 citations
Mathematics · Physics and Astronomy · #Amplitude #Dipole #Geometry #HERA #High-Energy Particle Collisions Research #Logarithm #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Saturation (graph theory) #Scaling #Scattering #Scattering amplitude #hep-ph

paper · pdf · doi:10.1016/j.physletb.2004.02.040

published as Phys.Lett.B590:199-208,2004 · 15 pages, 3 figures, 3 tables

arxiv created 2003/10/30 · openalex publication_date 2004/04/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the HERA data for the inclusive structure function F₂(x,Q²) for x < 0.01 and 0.045 < Q² < 45 GeV² can be well described within the color dipole picture, with a simple analytic expression for the dipole-proton scattering amplitude, which is an approximate solution to the non-linear evolution equations in QCD. For dipole sizes less than the inverse saturation momentum 1/Q_s(x), the scattering amplitude is the solution to the BFKL equation in the vicinity of the saturation line. It exhibits geometric scaling and scaling violations by the diffusion term. For dipole sizes larger than 1/Q_s(x), the scattering amplitude saturates to one. The fit involves three parameters: the proton radius R, the value x₀ of x at which the saturation scale Q_s equals 1GeV, and the logarithmic derivative of the saturation momentum λ. The value of λextracted from the fit turns out to be consistent with a recent calculation using the next-to-leading order BFKL formalism.

Citations

• Asymptotic freedom in parton language
• Impact parameter dipole saturation model
• High-energy factorization predictions for the charm structure function F2c at HERA
• Saturation and universality in QCD at small x
• A unitary model for structure functions and diffractive production at small x
• Saturation effects in deep inelastic scattering at lowQ2and its implications on diffraction
• BFKL pomeron in the next-to-leading approximation
• A resummation of large sub-leading corrections at small x

Cited by

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• Extracting the Distribution Amplitudes of the ρ meson from the Color Glass Condensate
• High gluon densities in heavy ion collisions
• Investigating FL(x,Q2) at fixed energy in the color dipole formalism
• Color dipole predictions for the exclusive vector meson photoproduction in pp, pPb, and PbPb collisions at run 2 LHC energies
• Geometric scaling in Mueller–Navelet jets
• Effects of gluon number fluctuations onγγcollisions at high energies
• QCD rescattering mechanism for diffractive deep inelastic scattering