Nested-GPT is an autoregressive Transformer surrogate that generates variable-multiplicity parton showers while enforcing ordered Markovian branching and matches reference Monte Carlo results for leading-log non-global logarithm resummation in the large-Nc limit.
Unitarization of the BFKL Pomeron on a Nucleus
9 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We analyze the evolution equation describing all multiple hard pomeron exchanges in a hadronic or nuclear structure functions that was proposed earlier. We construct a perturbation series providing us with an exact solution to the equation outside of the saturation region. The series demonstrates how at moderately high energies the corrections to the single BFKL pomeron exchange contribution which are due to the multiple pomeron exchanges start unitarizing total deep inelastic scattering cross section. We show that as energy increases the scattering cross section of the quark-antiquark pair of a fixed transverse separation on a hadron or nucleus given by the solution of our equation inside of the saturation region unitarizes and becomes independent of energy. The corresponding F_2 structure function also unitarizes and becomes linearly proportional to ln s. We also discuss possible applications of the developed technique to diffraction.
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UNVERDICTED 9representative citing papers
Sub-eikonal corrections to dipole structure functions F_L, F_T and the g1-related asymmetry are derived in a gauge-invariant dipole operator basis, with F_L shown to be finite and the others logarithmically divergent.
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
JIMWLK evolution produces systematically larger incoherent diffraction cross sections than the Gaussian Approximation in photon-nucleus collisions because the latter is invalid for four-gluon-exchange correlators.
After Q_s-adaptive coarse graining, conditional gluon Husimi momentum distributions from fixed-coupling SO(3)-BK evolution collapse as functions of k/Q_s(Y,b), with conditional entropy growing at unit slope versus ⟨ln Q_s²⟩.
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.
One-loop quark TMD calculation in projectile light-cone gauge produces CSS evolution equations whose rapidity structure is compared to the target gauge result.
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
Color dipole calculations of the ratio of exclusive vector meson to inclusive jet/hadron photoproduction cross sections in UPC pA and AA collisions at LHC Run 4, including the double ratio R_UPC proposed for saturation studies.
citing papers explorer
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Nested-GPT for variable-multiplicity parton showers: A case study in the resummation of non-global logarithms
Nested-GPT is an autoregressive Transformer surrogate that generates variable-multiplicity parton showers while enforcing ordered Markovian branching and matches reference Monte Carlo results for leading-log non-global logarithm resummation in the large-Nc limit.
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Sub-eikonal Structure of High-Energy Deep-Inelastic Scattering
Sub-eikonal corrections to dipole structure functions F_L, F_T and the g1-related asymmetry are derived in a gauge-invariant dipole operator basis, with F_L shown to be finite and the others logarithmically divergent.
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Unpolarized GPDs at small $x$ and non-zero skewness
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
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When JIMWLK evolution really matters: the example of incoherent diffraction
JIMWLK evolution produces systematically larger incoherent diffraction cross sections than the Gaussian Approximation in photon-nucleus collisions because the latter is invalid for four-gluon-exchange correlators.
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Emergent Local Phase-Space Scaling in Small-x Gluon Evolution
After Q_s-adaptive coarse graining, conditional gluon Husimi momentum distributions from fixed-coupling SO(3)-BK evolution collapse as functions of k/Q_s(Y,b), with conditional entropy growing at unit slope versus ⟨ln Q_s²⟩.
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Collinearly Improved Balitsky-Kovchegov Evolution of the Gluon Wigner Distribution
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.
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From target to projectile: CSS evolution of quark TMD in different light-cone gauges
One-loop quark TMD calculation in projectile light-cone gauge produces CSS evolution equations whose rapidity structure is compared to the target gauge result.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
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Evaluating the ratio of the exclusive vector meson photoproduction to inclusive hadron/jet production cross section in ultraperipheral heavy ion collisions
Color dipole calculations of the ratio of exclusive vector meson to inclusive jet/hadron photoproduction cross sections in UPC pA and AA collisions at LHC Run 4, including the double ratio R_UPC proposed for saturation studies.