Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
The Renormalization Group Equation for the Color Glass Condensate
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abstract
We present an explicit and simple form of the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate (CGC). This is a functional Fokker-Planck equation for the probability density of the color field which describes the CGC in the covariant gauge. It is equivalent to the Euclidean time evolution equation for a second quantized current-current Hamiltonian in two spatial dimensions. The quantum corrections are included in the leading log approximation, but the equation is fully non-linear with respect to the generally strong background field. In the weak field limit, it reduces to the BFKL equation, while in the general non-linear case it generates the evolution equations for Wilson-line operators previously derived by Balitsky and Kovchegov within perturbative QCD.
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JIMWLK evolution gives larger incoherent diffraction cross sections than the Gaussian approximation for photon-nucleus collisions because the latter is invalid for four-gluon starting correlators.
The gluon-initiated trijet channel in forward pA collisions is calculated at leading order in CGC, revealing a four-gluon vertex structure matching instantaneous terms and showing how rapidity and collinear divergences feed into JIMWLK evolution and PDF/FF kernels.
MC-CGC simulations with rcBK evolution favor HERA-tuned MV^γ and MV^e initial conditions for LHCb forward hadron data, show kT factorization outperforming DHJ at mid-rapidity, and provide predictions for ALICE FoCal neutral mesons and jets.
citing papers explorer
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Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
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When JIMWLK evolution really matters: the example of incoherent diffraction
JIMWLK evolution gives larger incoherent diffraction cross sections than the Gaussian approximation for photon-nucleus collisions because the latter is invalid for four-gluon starting correlators.
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Forward trijet production in proton-nucleus collisions: gluon initiated channel
The gluon-initiated trijet channel in forward pA collisions is calculated at leading order in CGC, revealing a four-gluon vertex structure matching instantaneous terms and showing how rapidity and collinear divergences feed into JIMWLK evolution and PDF/FF kernels.
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Forward hadron production in pp collisions at LHC energies from an event generator based on the color glass condensate framework
MC-CGC simulations with rcBK evolution favor HERA-tuned MV^γ and MV^e initial conditions for LHCb forward hadron data, show kT factorization outperforming DHJ at mid-rapidity, and provide predictions for ALICE FoCal neutral mesons and jets.