The Gluon Green's Function in the BFKL Approach at Next-to-Leading Logarithmic Accuracy

Abstract

We investigate the gluon Green's function in the high energy limit of QCD using a recently proposed iterative solution of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at next-to-leading logarithmic (NLL) accuracy. To establish the applicability of this method in the NLL approximation we solve the BFKL equation as originally written by Fadin and Lipatov, and compare the results with previous studies in the leading logarithmic (LL) approximation.

18 pages, 16 figures. v2: Discussion extended, one figure added. Accepted for publication in Nucl. Phys. B

References in corpus (31)

• BFKL pomeron in the next-to-leading approximation
• Energy Scale(s) and Next-to-leading BFKL Equation
• A resummation of large sub-leading corrections at small x
• Renormalization Group Improved Small-x Equation
• The QCD Pomeron with Optimal Renormalization
• The BFKL Equation at Next-to-Leading Order and Beyond
• Resummation of Singlet Parton Evolution at Small x
• The Effect of Higher Order Corrections to the BFKL Equation on the Perturbative Pomeron
• Production of Jet Pairs at Large Relative Rapidity in Hadron-Hadron Collisions as a Probe of the Perturbative Pomeron
• Dijet Production at Hadron--Hadron Colliders in the BFKL Approach
• The Running Coupling BFKL Anomalous Dimensions and Splitting Functions
• Mueller-Navelet Jets at Hadron Colliders
• NLO BFKL Equation, Running Coupling and Renormalization Scales
• Running Coupling Effects in BFKL Evolution
• A Monte Carlo Solution to the BFKL Equation
• Rapidity veto effects in the NLO BFKL equation
• Rapidity-Separation Dependence and the Large Next-to-Leading Corrections to the BFKL Equation
• On the 2nd Order Corrections to the Hard Pomeron and the Running Coupling Constant
• Explicit Calculation Of the Running Coupling BFKL Anomalous Dimension
• Model (In)dependent Features of the Hard Pomeron
• Expanding running coupling effects in the hard Pomeron
• Solving the BFKL Equation in the Next-to-Leading Approximation
• Tunneling transition to the Pomeron regime
• Diffusion corrections to the hard pomeron
• Observable jets from the BFKL chain
• Solving the BFKL Equation with Running Coupling
• The Collision Energy Dependence of Dijet Cross Sections as a Probe of BFKL Physics
• Energy Consumption and Jet Multiplicity from the Leading Log BFKL Evolution
• W Boson Production with Associated Jets at Large Rapidities
• BFKL Physics in Dijet Production at the LHC
• Multiparticle Production in QCD Jets

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• Phenomenological analysis of Higgs boson production through gluon fusion in association with jets
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