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 <ln Q_s²>.
The Energy Dependence of the Saturation Momentum
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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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hep-ph 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.
citing papers explorer
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Emergent Local Phase-Space Scaling in Small-x Gluon Evolution
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 <ln Q_s²>.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
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Multiplicity distributions in DIS for heavy nucleus
Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.