The dipole form of the gluon part of the BFKL kernel

Abstract

The dipole form of the gluon part of the colour singlet BFKL kernel in the next-to-leading order (NLO) is obtained in the coordinate representation by direct transfer from the momentum representation, where the kernel was calculated before. With this paper the transformation of the NLO BFKL kernel to the dipole form, started a few months ago with the quark part of the kernel, is completed.

arXiv comment26 pages

References in corpus (29)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• The BFKL Equation from the Wilson Renormalization Group
• BFKL pomeron in the next-to-leading approximation
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• Energy Scale(s) and Next-to-leading BFKL Equation
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Quark contribution to the small-$x$ evolution of color dipole
• Small-x physics in perturbative QCD
• Gauge invariant effective action for high-energy processes in QCD
• The triple-pomeron regime and the structure function of the pomeron in the diffractive deep inelastic scattering at very small x
• Gluon Regge Trajectory in the two-loop Approximation
• Interactions of Reggeized Gluons in the Möbius Representation
• Non-forward NLO BFKL Kernel
• The Generalized Non-forward BFKL Equation and the ``Bootstrap'' Condition for the Gluon Reggeization in the NLLA
• The quark part of the non-forward BFKL kernel and the ``bootstrap'' for the gluon Reggeization
• The Gluon Impact Factors
• Non-forward BFKL Pomeron at next-to-leading order
• On the Gluon Regge Trajectory in $O({\alpha }_s^2)$
• On the coordinate representation of NLO BFKL
• The dipole form of the quark part of the BFKL kernel
• A proof of fulfillment of the strong bootstrap condition
• Deformed Spectral Representation of the BFKL Kernel and the Bootstrap for Gluon Reggeization

Cited by in corpus (21)

• NLO evolution of color dipoles
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• Paving the Way Towards Precision Physics in Saturation Studies Through Exclusive Diffractive Light Neutral Vector Meson Production
• Exact kinematics in the small x evolution of the color dipole and gluon cascade
• High Energy QCD at NLO: from light-cone wave function to JIMWLK evolution
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
• NLO Corrections to the kernel of the BKP-equations
• Connected contribution to the kernel of the evolution equation for 3-quark Wilson loop operator
• Collinear improvement of the BFKL kernel in the electroproduction of two light vector mesons
• The dipole form of the BFKL kernel in supersymmetric Yang--Mills theories
• The quark induced Mueller-Tang jet impact factor at next-to-leading order
• Matching of the low-x evolution kernels
• The ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross section in next-to-leading order BFKL and LEP2 data
• Connection between complete and Moebius forms of gauge invariant operators
• On the discrepancy of the low-x evolution kernels
• Heavy quark production in deep inelastic electron-nucleus scattering
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• NLO JIMWLK evolution with massive quarks
• Difference between standard and quasi-conformal BFKL kernels
• Perturbative Estimates of the Eigenfunctions of the Non-forward BFKL Kernel