High energy scattering in QCD and cross singularities of Wilson loops

Abstract

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson line expectation value we find that there is one-to-one correspondence between high energy asymptotics in QCD and renormalization properties of the so called cross singularities of Wilson lines. Using this relation we show that the asymptotic behavior of the quark-quark scattering amplitude is controlled by a $2\times 2$ matrix of the cross anomalous dimensions. We evaluate the matrix of cross anomalous dimension to two-loop order and study the properties of the obtained expressions to higher loop order.

LaTeX style, 31 pages, 5 figures (included), ITP-SB-94-42

References in corpus (3)

• Infrared Factorization, Wilson Lines and the Heavy Quark Limit
• On near forward high energy scattering in QCD
• Color Exchange in Near-forward Hard Elastic Ecattering

Cited by in corpus (87)

• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Resummation for QCD Hard Scattering
• Evolution of Color Exchange in QCD Hard Scattering
• Sudakov Factorization and Resummation
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Theoretical and Experimental Status of Magnetic Monopoles
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Threshold Resummation for Dijet Cross Sections
• Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• The singular behavior of massive QCD amplitudes
• An Effective Field Theory for Forward Scattering and Factorization Violation
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• On soft singularities at three loops and beyond
• Spinning strings at one-loop in AdS_4 x P^3
• Exacting N=4 Superconformal Symmetry
• Webs in multiparton scattering using the replica trick
• Bootstrapping the QCD soft anomalous dimension
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Evolution equation for gluon Regge trajectory
• Next-to-soft corrections to high energy scattering in QCD and gravity
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Matter dependence of the four-loop cusp anomalous dimension
• Topology and Wilson lines: global aspects of the double copy
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Two-parton scattering in the high-energy limit
• Wilson line approach to gravity in the high energy limit
• An infrared approach to Reggeization
• Infrared Singularities of Scattering Amplitudes and N${}^3$LL Resummation for $n$-Jet Processes
• On the renormalization of multiparton webs
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• High-energy QCD amplitudes at two loops and beyond
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• Structure of Infrared Singularities of Gauge-Theory Amplitudes at Three and Four Loops
• Gluon Radiation in Diffractive Electroproduction
• Resummation for heavy quark and jet cross sections
• Duality between Wilson loops and gluon amplitudes
• From Webs to Polylogarithms
• Disentangling the Regge cut and Regge pole in perturbative QCD
• Dijet Rapidity Gaps in Photoproduction from Perturbative QCD
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Non-abelian infrared divergences on the celestial sphere
• Nonperturbative scales in AdS/CFT
• A remark on the high--energy quark--quark scattering and the eikonal approximation
• Low Transverse Momentum Heavy Quark Pair Production to Probe Gluon Tomography
• Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders
• Webs and Posets
• Multiple Gluon Exchange Webs
• The analytic continuation of the high-energy parton-parton scattering amplitude with an IR cutoff
• Gauge theory webs and surfaces
• The single copy of the gravitational holonomy
• Multiparton webs beyond three loops
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• On n-point Amplitudes in N=4 SYM
• Null Wilson loops with a self-crossing and the Wilson loop/amplitude conjecture
• Renormalization of the cyclic Wilson loop
• Analyticity and crossing symmetry of the eikonal amplitudes in gauge theories
• A nonperturbative foundation of the Euclidean-Minkowskian duality of Wilson-loop correlation functions
• Anomalous Dimensions from Soft Regge Constants
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• Wilson loop remainder function for null polygons in the limit of self-crossing
• Aspects of High Energy Scattering
• QED as a many-body theory of worldlines: I. General formalism and infrared structure
• Iterating QCD scattering amplitudes in the high-energy limit
• Hexagon remainder function in the limit of self-crossing up to three loops
• Building blocks of Cwebs in multiparton scattering amplitudes
• Eikonal propagators and high-energy parton-parton scattering in gauge theories
• On a Wilson lines approach to the study of jet quenching
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• All orders results for self-crossing Wilson loops mimicking double parton scattering
• Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
• The Soft Pomeron and Nonperturbative Corrections in Quark-Quark Scattering
• A Two-Loop Four-Point Form Factor at Function Level
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Scattering Amplitudes in High Energy QCD
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• The Cross Anomalous Dimension in Maximally Supersymmetric Yang--Mills Theory
• A tale of two Regge limits
• Boomerang webs up to three-loop order