Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large

2006/01/31 by Yoshitaka Hatta, Y. Hatta, E. Iancu +7 · 88 citations
Physics and Astronomy · #Color-glass condensate #Computational physics #Deep inelastic scattering #Diffraction #Dipole #Geometry #Gluon #High-Energy Particle Collisions Research #Inelastic scattering #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Photon #Physics #Pomeron #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scaling #Scattering #Scattering amplitude #Virtual particle #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2006.04.003

published in Nuclear Physics A 773(1-2), 95-155 (Elsevier BV) · 69 pages, 20 figures

openalex publication_date 2006/05/19 · arxiv created 2006/06/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Within the limits of the large-N_c approximation (with N_c the number of colors), we establish the high-energy behaviour of the diffractive and inclusive cross-sections for deep inelastic scattering at fixed impact parameter. We demonstrate that for sufficiently high energies and up to very large values of Q², well above the proton average saturation momentum <Q_s²>, the cross-sections are dominated by dense fluctuations in the target wavefunction, that is, by the relatively rare gluon configurations which are at saturation on the resolution scale Q² of the virtual photon. This has important physical consequences, like the emergence of a new, diffusive, scaling, which replaces the `geometric scaling' property characteristic of the mean field approximation. To establish this, we shall rely on a dipole version of the Good-Walker formula for diffraction (that we shall derive here in the context of DIS), together with the high-energy estimates for the dipole scattering amplitudes which follow from the recently established evolution equations with Pomeron loops and include the relevant fluctuations. We also find that, as a consequence of fluctuations, the diffractive cross-section at high energy is dominated by the elastic scattering of the quark-antiquark component of the virtual photon, up to relatively large virtualities Q² >> <Q_s²>.

Citations

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Cited by

• Correlations and discreteness in nonlinear QCD evolution
• Exclusive final states in diffractive excitation
• Multiparticle production in the mean field approximation of high density QCD
• Fluctuations, saturation, and diffractive excitation in high energy collisions
• A zero-dimensional model for high-energy scattering in QCD
• Fluctuations of the gluon distribution from the small-x effective action
• Effects of gluon number fluctuations onγγcollisions at high energies
• Spin-glass model of QCD near saturation