Within the limits of the large-N c approximation (with N c the number of colors), we establish th... more 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 Q 2 , well above the proton average saturation momentum Q 2 s , 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 quarkantiquark component of the virtual photon, up to relatively large virtualities Q 2 ≫ Q 2 s .
Journal of Physics G: Nuclear and Particle Physics, 2008
On leave from 32 . ¶ The contributors on this author list have contributed only to those subsecti... more On leave from 32 . ¶ The contributors on this author list have contributed only to those subsections of the report, which they cosign with their name. Only those have collaborated together, whose names appear together in the header of a given subsection.
Within the limits of the large-N c approximation (with N c the number of colors), we establish th... more 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 Q 2 , well above the proton average saturation momentum Q 2 s , 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 quarkantiquark component of the virtual photon, up to relatively large virtualities Q 2 ≫ Q 2 s .
Journal of Physics G: Nuclear and Particle Physics, 2008
On leave from 32 . ¶ The contributors on this author list have contributed only to those subsecti... more On leave from 32 . ¶ The contributors on this author list have contributed only to those subsections of the report, which they cosign with their name. Only those have collaborated together, whose names appear together in the header of a given subsection.
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