High Energy QCD at NLO: from light-cone wave function to JIMWLK evolution

Abstract

Soft components of the light cone wave-function of a fast moving projectile hadron is computed in perturbation theory to third order in QCD coupling constant. At this order, the Fock space of the soft modes consists of one-gluon, two-gluon, and a quark-antiquark states. The hard component of the wave-function acts as a non-Abelian background field for the soft modes and is represented by a valence charge distribution that accounts for non-linear density effects in the projectile. When scattered off a dense target, the diagonal element of the S-matrix reveals the Hamiltonian of high energy evolution, the JIMWLK Hamiltonian. This way we provide a new direct derivation of the JIMWLK Hamiltonian at the Next-to-Leading Order.

83 pages, 15 figures; explanatory comments added, published version

References in corpus (16)

• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• The ridge in proton-proton collisions at the LHC
• Resumming double logarithms in the QCD evolution of color dipoles
• Photon impact factor in the next-to-leading order
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• NLO evolution of color dipoles in N=4 SYM
• NLO JIMWLK evolution unabridged
• QCD Reggeon Field Theory for every day: Pomeron loops included
• From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy
• The dipole form of the gluon part of the BFKL kernel
• NLO evolution of 3-quark Wilson loop operator
• Classical Gluon Production Amplitude for Nucleus-Nucleus Collisions: First Saturation Correction in the Projectile
• Saturation in inclusive production beyond leading logarithm accuracy
• QCD unitarity constraints on Reggeon Field Theory

Cited by in corpus (33)

• Mining for Gluon Saturation at Colliders
• Non-linear evolution in QCD at high-energy beyond leading order
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Paving the Way Towards Precision Physics in Saturation Studies Through Exclusive Diffractive Light Neutral Vector Meson Production
• The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
• Diffractive dijet production in impact parameter dependent saturation models
• Massive quarks in NLO dipole factorization for DIS: Longitudinal photon
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Massive quarks in NLO dipole factorization for DIS: Transverse photon
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Extracting many-body correlators of saturated gluons with precision from inclusive photon+dijet final states in deeply inelastic scattering
• Selected topics in diffraction with protons and nuclei: past, present, and future
• Dihadron production in DIS at NLO: the real corrections
• On systematic effects in the numerical solutions of the JIMWLK equation
• Soft photon and two hard jets forward production in proton-nucleus collisions
• JIMWLK Evolution, Lindblad Equation and Quantum-Classical Correspondence
• Dipole evolution: perspectives for collectivity and ${\gamma }^{\ast }$A collisions
• Reggeon Field Theory and Self Duality: Making Ends Meet
• Initial state qqg correlations as a background for the Chiral Magnetic Effect in collision of small systems
• NLO JIMWLK evolution with massive quarks
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Structure functions from renormalization group improved small $x$ evolution
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation
• Taming of preasymptotic small x evolution within resummation framework
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• The rapidity dependence of the average transverse momentum in p+p and p+Pb collisions - revisited
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Exploring the DGLAP resummation in the JIMWLK Hamiltonian
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit