TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
Nonlinear Gluon Evolution in the Color Glass Condensate: II
10 Pith papers cite this work. Polarity classification is still indexing.
abstract
We complete the construction of the renormalization group equation (RGE) for the Color Glass Condenstate begun in Paper I. This is the equation which governs the evolution with rapidity of the statistical weight function for the color glass field. The coefficients in this equation --- one-loop real and virtual contributions --- are computed explicitly, to all orders in the color glass field. The resulting RGE can be interpreted as the imaginary-time evolution equation, with rapidity as the ``imaginary time'', for a quantum field theory in two spatial dimensions. In the weak field limit it reduces to the BFKL equation. In the general non-linear case, it is equivalent to an equation by Weigert which summarizes in functional form the evolution equations for Wilson line operators previously derived by Balitsky and Kovchegov.
citation-role summary
citation-polarity summary
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hep-ph 10years
2026 10roles
background 3polarities
background 3representative 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.
Analytical CGC amplitudes and cross sections for forward g o q¯qg and g o ggg trijet production in pA collisions are obtained, with rapidity and collinear divergences shown to match JIMWLK and DGLAP 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⟩.
Derives Reggeized quark operator from Wilson lines and its nonlinear rapidity RG evolution in QCD, recovering known Regge trajectories in dilute and large-Nc limits after signature projection.
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.
A conservative BFKL-aware endpoint matching of the NLO forward jet vertex moves R21 toward CMS but does not simultaneously describe all five CMS azimuthal observables under the tested BLM/MOM prescriptions.
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.
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.
citing papers explorer
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TMD factorization in diffractive heavy-quark production in photon-nucleus collisions
TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
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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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Forward trijet production in proton-nucleus collisions: gluon initiated channel
Analytical CGC amplitudes and cross sections for forward g o q¯qg and g o ggg trijet production in pA collisions are obtained, with rapidity and collinear divergences shown to match JIMWLK and DGLAP evolution.
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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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Quark Reggeization in QCD from the Wilson line formalism
Derives Reggeized quark operator from Wilson lines and its nonlinear rapidity RG evolution in QCD, recovering known Regge trajectories in dilute and large-Nc limits after signature projection.
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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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Endpoint Logarithms in the NLO Mueller-Navelet Jet Vertex: Threshold Matching and BLM/MOM Prescription Sensitivity
A conservative BFKL-aware endpoint matching of the NLO forward jet vertex moves R21 toward CMS but does not simultaneously describe all five CMS azimuthal observables under the tested BLM/MOM prescriptions.
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Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.
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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.