The Massive Soft Anomalous Dimension Matrix at Two Loops

Abstract

We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link three massive Wilson lines do not vanish in general. We show, however, that for two-to-two processes the two-loop anomalous dimension matrix is diagonal in the same color-exchange basis as the one-loop matrix for arbitrary masses at absolute threshold and for scattering at ninety degrees in the center of mass. This result is important for applications of threshold resummation in heavy quark production.

7 pages, 3 figures, revtex

References in corpus (18)

• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• NLL resummation of the heavy-quark hadroproduction cross-section
• Multi-loop Amplitudes and Resummation
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Theoretical status and prospects for top-quark pair production at hadron colliders
• Resummation for QCD Hard Scattering
• Evolution of Color Exchange in QCD Hard Scattering
• Updated predictions for the total production cross sections of top and of heavier quark pairs at the Tevatron and at the LHC
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• The theoretical top quark cross section at the Tevatron and the LHC
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• The singular behavior of massive QCD amplitudes
• Two-loop QED corrections to Bhabha scattering
• Soft gluons at large angles in hadron collisions
• Resummation for heavy quark and jet cross sections
• Color evolution of 2 -> 3 processes
• Symmetry of anomalous dimension matrices explained

Cited by in corpus (65)

• Hadronic top-quark pair production with NNLL threshold resummation
• Soft gluon resummation for the production of gluino-gluino and squark-antisquark pairs at the LHC
• Next-to-next-to-leading soft-gluon corrections for the top quark cross section and transverse momentum distribution
• Infrared singularities of QCD amplitudes with massive partons
• Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• 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 divergences of scattering amplitudes with massive partons
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• On soft singularities at three loops and beyond
• BCJ duality and the double copy in the soft limit
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Webs in multiparton scattering using the replica trick
• Bootstrapping the QCD soft anomalous dimension
• Transverse-momentum resummation for heavy-quark hadroproduction
• Threshold expansion of the gg(qq) -> QQ+X cross section at O(alpha_s^4)
• The infrared structure of gauge theory amplitudes in the high-energy limit
• The singular behavior of one-loop massive QCD amplitudes with one external soft gluon
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Two-parton scattering in the high-energy limit
• Diagrammatic Exponentiation for Products of Wilson Lines
• On the renormalization of multiparton webs
• General properties of multiparton webs: proofs from combinatorics
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Threshold expansion at order alpha_s^4 for the t-tbar invariant mass distribution at hadron colliders
• Color structure for soft gluon resummation - a general recipe
• From Webs to Polylogarithms
• Non-abelian infrared divergences on the celestial sphere
• Top-quark production and QCD
• $t\bar{t}H$ production at NNLO: the flavour off-diagonal channels
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Gauge theory webs and surfaces
• The soft function for color octet production at threshold
• Multiparton webs beyond three loops
• The Four Dimensional Helicity Scheme Beyond One Loop
• The asymptotic behavior of the heavy quark form factors at higher order
• Soft-parton contributions to heavy-quark production at low transverse momentum
• Probing the Gauge Content of Heavy Resonances with Soft Radiation
• An Introduction to Webs
• Soft-gluon corrections in top-quark production
• The full angle-dependence of the four-loop cusp anomalous dimension in QED
• Three-loop cusp anomalous dimension and a conjecture for $n$ loops
• Imaginary parts and discontinuities of Wilson line correlators
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• Threshold expansion of massive coloured particle cross sections
• The next-to-next-to-leading order soft function for top quark pair production
• A factorization approach to next-to-leading-power threshold logarithms
• Two-loop soft anomalous dimensions with massive and massless quarks
• Infrared Singularities and Soft Gluon Resummation with Massive Partons
• Building blocks of Cwebs in multiparton scattering amplitudes
• Position-space cuts for Wilson line correlators
• The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Three-loop planar master integrals for heavy-to-light form factors
• Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
• Path description of coordinate-space amplitudes
• Renormalization group evolution of collinear and infrared divergences
• Sector-improved residue subtraction: Improvements and Applications
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• On non-factorisable contributions to $t$-channel single-top production
• The Cross Anomalous Dimension in Maximally Supersymmetric Yang--Mills Theory
• Jet Physics from Static Charges in AdS
• Boomerang webs up to three-loop order
• Progress on soft gluon exponentiation and long-distance singularities