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Dipole-dipole scattering amplitude in CGC approach

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arxiv 2209.07095 v2 pith:JMHPLLFS submitted 2022-09-15 hep-ph

Dipole-dipole scattering amplitude in CGC approach

classification hep-ph
keywords scatteringapproximationamplitudebfkldensitiesdiffusiondipole-dipolelarge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the BFKL equation. We resolve these relations in the diffusion approximation for the BFKL kernel. Based on this solution, we found the sum of large Pomeron loops. This sum generates the scattering amplitude that decreases at large values of rapidity $Y$. It turns out that such behaviour of the scattering amplitudes is an artifact of diffusion approximation. This approximation leads to the unitarization without saturation both in deep inelastic scattering and in dipole-dipole interaction at high energies.

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Cited by 1 Pith paper

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  1. Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel

    hep-ph 2025-12 conditional novelty 5.0

    In a leading-twist kernel, matching the BK solution to fan-diagram series yields KNO multiplicity distributions and gluon entropy S_E = ln(xG) for dipole-nucleus and dipole-dipole scattering.