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

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dc.creatorHatta, Y.
dc.creatorIancu, E.
dc.creatorMarquet, C.
dc.creatorSoyez, G.
dc.creatorTriantafyllopoulos, D. N.
dc.date2006-01-18
dc.date2006-06-07
dc.date.accessioned2026-07-07T10:44:39Z
dc.date.available2026-07-07T10:44:39Z
dc.descriptionWithin 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 Q^2, well above the proton average saturation momentum <Q_s^2>, 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 Q^2 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 Q^2 >> <Q_s^2>.
dc.description69 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0601150
dc.identifierhttp://arxiv.org/abs/hep-ph/0601150
dc.identifierNucl.Phys.A773:95-155,2006
dc.identifierdoi:10.1016/j.nuclphysa.2006.04.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182667
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDiffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
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