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The Energy Dependence of the Saturation Momentum

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arxiv hep-ph/0205167 v1 pith:6D5VP5FA submitted 2002-05-15 hep-ph

classification hep-ph
keywords evolutioncouplingsaturationbfklcasedependenceenergyexponential
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study BFKL evolution and, in particular, the energy dependence of the saturation momentum in the presence of saturation boundaries limiting the region of linear BFKL evolution. In the case of fixed coupling evolution we confirm the previously found exponential term in $Q_s(Y)$ and determine the prefactor $Y$ and $\alpha$ dependences. In the running coupling case we find $Y^{1/6}$ corrections to the $Y^{1/2}$exponential behavior previously known. Geometrical scaling of the scattering amplitude is valid in a wide-range of momenta for fixed coupling evolution and in a more restricted region for running coupling evolution.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Emergent Local Phase-Space Scaling in Small-x Gluon Evolution

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    In the fixed-coupling SO(3)-BK model, Q_s-adaptive coarse graining of the gluon Husimi distribution produces collapse of conditional momentum distributions onto k/Q_s and unit-slope growth of conditional entropy with ...

  2. Dipole-dipole scattering at high energy in the Pomeron field theory with Braun Hamiltonian and beyond

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Deep in saturation, Braun-Hamiltonian pomeron calculus predicts S_dd = (S_BK)^4 for dipole-dipole scattering, four powers of the standard estimate, but the paper's own unitary toy model contradicts this prediction.

  3. Summing large Pomeron loops in the saturation region: dipole-nucleus collision beyond nonlinear equations

    hep-ph 2025-02 conditional novelty 6.0 of 10

    After summing large Pomeron loops, the dipole-nucleus amplitude has the same energy dependence as dipole-dipole scattering, limiting the BK equation to z' below roughly 2 sqrt(kappa c) A^{1/6}.

  4. Maximum phase-space density of linearly polarized gluon TMDs in the saturation region

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    For the dipole gluon TMD, the Sudakov-limited maximum phase-space density of h_1^{⊥g} is 2 n_g^{max} ∼ 2 α_s^{-3/2} in the saturation region.

  5. Multiplicity distributions in DIS for heavy nucleus

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.

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

    hep-ph 2025-12 conditional novelty 5.0 of 10

    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.

  7. Summing large Pomeron loops in the saturation region: nucleus-nucleus collision

    hep-ph 2025-06 conditional novelty 5.0 of 10

    The nucleus-nucleus scattering amplitude deep in the saturation region reduces to the single nucleon-nucleon term and therefore has the same energy dependence as dipole-dipole scattering.

  8. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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