Disentangling the Regge cut and Regge pole in perturbative QCD

Abstract

The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon $t$-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops.

arXiv comment7 pages, 2 figures; v2: comments regarding the supersymmetric case added, to appear in Phys. Rev. Lett; v3: added ancillary file

References in corpus (52)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• The Wilson renormalization group for low x physics: towards the high density regime
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• High energy QCD as a completely integrable model
• Calculation of the quark and gluon form factors to three loops in QCD
• PolyLogTools - Polylogs for the masses
• Three-Loop Results for Quark and Gluon Form Factors
• Supersymmetric Regularization, Two-Loop QCD Amplitudes and Coupling Shifts
• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
• Soft triple-real radiation for Higgs production at N3LO
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• One-loop helicity amplitudes for all 2 -> 2 processes in QCD and N=1 supersymmetric Yang-Mills theory
• Gluon Regge Trajectory in the two-loop Approximation
• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• High energy scattering in QCD and cross singularities of Wilson loops
• Bootstrapping the QCD soft anomalous dimension
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• Evolution equation for gluon Regge trajectory
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Soft gluons at large angles in hadron collisions
• Reggeization of quark-quark scattering amplitude in QCD
• Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA
• Two-parton scattering in the high-energy limit
• An infrared approach to Reggeization
• ColorMath - A package for color summed calculations in SU(Nc)
• The high energy limit of QCD at two loops
• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
• On the Gluon Regge Trajectory in $O({\alpha }_s^2)$
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• Four-loop collinear anomalous dimensions in QCD and $\mathcal{N}=4$ super Yang-Mills
• High-energy QCD amplitudes at two loops and beyond
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Iterated amplitudes in the high-energy limit
• On the Casimir scaling violation in the cusp anomalous dimension at small angle
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Gluon Reggeization in Yang-Mills Theories
• Particularities of the NNLLA BFKL
• Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders
• Reggeon cuts in QCD amplitudes with negative signature
• Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy
• The gluon Regge trajectory at three loops from planar Yang-Mills theory
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
• Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator

Cited by in corpus (15)

• The Four Loop QCD Rapidity Anomalous Dimension
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• Anomalous Dimensions from Soft Regge Constants
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering
• A Collinear Perspective on the Regge Limit
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Regge poles and cuts and the Lipatov vertex
• The two-loop Higgs impact factor
• Effective Field Theory Factorization for Diffraction
• One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory