Evolution of Color Exchange in QCD Hard Scattering

Abstract

In QCD hard scattering cross sections, the color content of the underlying hard scattering evolves with a factorization scale. This evolution is controlled by an anomalous dimension matrix, specific to each hard-scattering reaction. Anomalous dimensions are determined from the renormalization of products of ordered exponentials of the gauge field, which describe the coherent radiation of gluons by incoming hadrons and the observed jets or particles of the final state. The anomalous dimensions depend on the kinematics of the underlying hard scattering, but are free of collinear singularities. A number of these matrices are available in the literature. Here, we exhibit one-loop mixing matrices for the full list of $2\to 2$ reactions involving light quarks and gluons. The eight-by-eight anomalous dimension matrix for gluon-gluon scattering shows a simplified structure in the basis corresponding to definite color exchange in the $t$-channel.

41 pages, 7 epsf figures

References in corpus (2)

• Threshold Resummation for Dijet Cross Sections
• Unitarization of Gluon Exchange Amplitudes and Rapidity Gaps at the Tevatron

Cited by in corpus (248)

• Two-loop soft anomalous dimensions for single top quark associated production with a W- or H-
• Inclusive Jet Production, Parton Distributions, and the Search for New Physics
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• NNLL resummation for s-channel single top quark production
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• Towards Jetography
• Threshold resummation for squark-antisquark and gluino-pair production at the LHC
• Squark and gluino hadroproduction
• Multi-loop Amplitudes and Resummation
• Soft gluon resummation for the production of gluino-gluino and squark-antisquark pairs at the LHC
• Soft-gluon resummation for squark and gluino hadroproduction
• Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Principles of general final-state resummation and automated implementation
• Jet Shapes and Jet Algorithms in SCET
• Next-to-next-to-leading order soft-gluon corrections in top quark hadroproduction
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders
• Event Shape/Energy Flow Correlations
• Single top quark production at the Tevatron: threshold resummation and finite-order soft gluon corrections
• 50 Years of Quantum Chromodynamics
• Away-from-jet energy flow
• Phenomenology of event shapes at hadron colliders
• Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension
• Infrared safe definition of jet flavour
• QCD transverse-momentum resummation in gluon fusion processes
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Non-perturbative QCD effects in jets at hadron colliders
• Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Single-Transverse Spin Asymmetries: From DIS to Hadronic Collisions
• Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism
• Soft-/rapidity- anomalous dimensions correspondence
• Effects of Higher-Order Threshold Corrections in High-E_T Jet Production
• Super-leading logarithms in non-global observables in QCD?
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• NNLL-fast: predictions for coloured supersymmetric particle production at the LHC with threshold and Coulomb resummation
• Accounting for coherence in interjet E_t flow: a case study
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Resummed event shapes at hadron-hadron colliders
• Designing Gapped Soft Functions for Jet Production
• Top Jets at the LHC
• Sudakov resummation of multiparton QCD cross sections
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• On soft singularities at three loops and beyond
• Recoil and Threshold Corrections in Short-distance Cross Sections
• Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
• Webs in multiparton scattering using the replica trick
• Sudakov Resummation and Finite Order Expansions of Heavy Quark Hadroproduction Cross Sections
• Bootstrapping the QCD soft anomalous dimension
• Non-global logarithms in inter-jet energy flow with kt clustering requirement
• Transverse-momentum resummation for heavy-quark hadroproduction
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy
• On jet mass distributions in Z+jet and dijet processes at the LHC
• NNLL resummation for squark and gluino production at the LHC
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• NNLL resummation for squark-antisquark pair production at the LHC
• Four-gluon scattering at three loops, infrared structure and Regge limit
• On the breaking of collinear factorization in QCD
• Eikonal methods applied to gravitational scattering amplitudes
• Soft gluons at large angles in hadron collisions
• NNLL resummation for stop pair-production at the LHC
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• Associated production of a top quark pair with a heavy electroweak gauge boson at NLO+NNLL accuracy
• Azimuthal Angular Asymmetry of Soft Gluon Radiation in Jet Production
• Towards NNLL resummation: hard matching coefficients for squark and gluino hadroproduction
• High-order corrections and subleading logarithms for top quark production
• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• QCD resummation for hadronic final states
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• Threshold Resummation for the Inclusive-Hadron Cross-Section in pp Collisions
• Two-parton scattering in the high-energy limit
• Diagrammatic Exponentiation for Products of Wilson Lines
• Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel
• Soft Gluon Resummation for Heavy Quark Electroproduction
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• Azimuthal decorrelations between QCD jets at all orders
• Heavy Quarkonium Production at Low Pt in NRQCD with Soft Gluon Resummation
• On the renormalization of multiparton webs
• General properties of multiparton webs: proofs from combinatorics
• Parton showers with more exact color evolution
• Resummation of Jet Mass at Hadron Colliders
• Higher-order corrections for $tW$ production at high-energy hadron colliders
• Threshold and jet radius joint resummation for single-inclusive jet production
• Resummed Cross Section for Jet Production at Hadron Colliders
• Hadronic Dijet Imbalance and Transverse-Momentum Dependent Parton Distributions
• Soft-gluon resummation and NNLO corrections for direct photon production
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• Jet vetoing at the LHC
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold
• Summing Large-N Towers in Colour Flow Evolution
• NLO+NLL squark and gluino production cross-sections with threshold-improved parton distributions
• 1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD
• Soft gluon resummation for associated $t\bar{t}H$ production at the LHC
• NLO Uncertainties in Higgs + 2 jets from Gluon Fusion
• Soft evolution of multi-jet final states
• Orthogonal multiplet bases in SU(Nc) color space
• Removing infrared divergences from two-loop integrals
• Single Transverse-Spin Asymmetry in Hadronic Dijet Production
• Energy Flow in Interjet Radiation
• Generalized resummation of QCD final-state observables
• Scaling Rule for Nonperturbative Radiation in a Class of Event Shapes
• Single-Transverse Spin Asymmetry in Dijet Correlations at Hadron Colliders
• $B$ meson wave function in $k_T$ factorization
• The dijet cross section with a jet veto
• The resummation of inter-jet energy flow for gaps-between-jets processes at HERA
• Color structure for soft gluon resummation - a general recipe
• Resummation for heavy quark and jet cross sections
• On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space
• Conceptual design of the Spin Physics Detector
• Duality between Wilson loops and gluon amplitudes
• Soft gluon emission at two loops in full color
• From Webs to Polylogarithms
• Dijet Rapidity Gaps in Photoproduction from Perturbative QCD
• Color evolution of 2 -> 3 processes
• Perturbative QCD description of jet data from LHC Run-I and Tevatron Run-II
• Momentum conservation and unitarity in parton showers and NLL resummation
• On the Soft-Gluon Resummation in Top Quark Pair Production at Hadron Colliders
• The Entropy of a Jet
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• What is a parton shower?
• Non-global logarithms in hadron collisions at $N_c=3$
• Charged Higgs production via bg -> tH- at the LHC
• Towards all-order factorization of QED amplitudes at next-to-leading power
• QCD corrections to FCNC single top production at HERA
• Associated $t\bar{t}H$ production at the LHC: theoretical predictions at NLO+NNLL accuracy
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Employing Helicity Amplitudes for Resummation
• Collinear and soft gluon corrections to Higgs production at NNNLO
• Threshold Resummation for Di-hadron Production in Hadronic Collisions
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• FCNC top quark production via anomalous tqV couplings beyond leading order
• Soft and Collinear Functions for the Standard Model
• Asymmetric Di-jet Production in Polarized Hadronic Collisions
• Webs and Posets
• Hadron collisions and the fifth form factor
• Joint resummation for heavy quark production
• Threshold resummation for the prompt-photon cross section revisited
• Gauge theory webs and surfaces
• Threshold Resummation at NNLL for Single-particle Production in Hadronic Collisions
• Super-leading logarithms in non-global observables in QCD: Fixed order calculation
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Monte Carlo and large angle gluon radiation
• Interjet Energy Flow/Event Shape Correlations
• Phenomenology of threshold corrections for inclusive jet production at hadron colliders
• Multiparton webs beyond three loops
• Exponentiating virtual imaginary contributions in a parton shower
• The structure of IR divergences in celestial gluon amplitudes
• Missing Energy and Jets for Supersymmetry Searches
• Transverse-momentum resummation fo top-quark pair production at the LHC
• A Forest Formula to Subtract Infrared Singularities in Amplitudes for Wide-angle Scattering
• Resummation of transverse momentum and mass logarithms in DIS heavy-quark production
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction
• W hadroproduction at large transverse momentum beyond next-to-leading order
• Jets and threshold summation in Deductor
• Soft gluons in Higgs plus two jet production
• Threshold Hadronic Event Shapes with Effective Field Theory
• Summing threshold logs in a parton shower
• Colour Reconnection from Soft Gluon Evolution
• Symmetry of anomalous dimension matrices explained
• Single-Inclusive Hadron Production in Polarized pp Scattering at Next-to-Leading Logarithmic Accuracy
• Resummation for $2\to n$ processes in single-particle-inclusive kinematics
• Subleading Sudakov Logarithms in Electroweak Processes
• Jet energy flow at the LHC
• The Sivers Asymmetry in Hadronic Dijet Production
• Constraining double parton correlations and interferences
• Scalar leptoquark pair production at the LHC: precision predictions in the era of flavour anomalies
• Renormalization group approach to Sudakov resummation in prompt photon production
• Perturbative Stability of the QCD Predictions for Single Spin Asymmetry in Heavy Quark Photoproduction
• Threshold Effects in Charm Hadroproduction
• Higgs pair production from bottom quark annihilation to NNLO in QCD
• Azimuthal Asymmetries in DIS as a Probe of Intrinsic Charm Content of the Proton
• Soft-gluon Resummation for High-pT Inclusive-Hadron Production at COMPASS
• Coulomb gluons will generally destroy coherence
• Symmetry of Anomalous Dimension Matrices for Colour Evolution of Hard Scattering Processes
• Three-loop cusp anomalous dimension and a conjecture for $n$ loops
• Toward NNLL Threshold Resummation for Hadron Pair Production in Hadronic Collisions
• Azimuthal Dependence of the Heavy Quark Initiated Contributions to DIS
• Factorization of Boosted Multijet Processes for Threshold Resummation
• Jet vetoing and Herwig++
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• Soft-gluon corrections for the associated production of a single top quark and a Higgs boson
• Soft-gluon resummation for heavy quark production in hadronic collisions
• On the Threshold Resummation in Forward pA Collisions
• Effect of color on rapidity gap survival
• QCD corrections in $tq\gamma$ production at hadron colliders
• Factorization of low-energy gluons in exclusive processes
• Color randomization of fast gluon-gluon pairs in the quark-gluon plasma
• Azimuthal Asymmetries in Heavy Quark Leptoproduction as a Test of pQCD
• Rings and strings: a basis for understanding subleading colour and QCD coherence beyond the two-jet limit
• Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics
• Building blocks of Cwebs in multiparton scattering amplitudes
• Soft anomalous dimensions and resummation in QCD
• Soft-gluon corrections for $tqZ$ production
• Position-space cuts for Wilson line correlators
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Nuclear $p_{\perp }$-broadening of an energetic parton pair
• Soft-Gluon Corrections in FCNC Top-Quark Production via Anomalous Gluon Couplings
• Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
• Implications of the Measurement of Ultra-Massive Boosted Jets at CDF
• Aspects of power corrections in hadron-hadron collisions
• Dimensional Regularization and Dimensional Reduction in the Light Cone
• The two-loop Higgs impact factor
• Factorization and its Breaking in Dijet Single Transverse Spin Asymmetries in $pp$ Collisions
• NNLL-fast 2.0: Coloured Sparticle Production at the LHC Run 3 with $\sqrt{S}$ = 13.6 TeV
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• Effects of subleading color in a parton shower
• Color Evaporation Induced Rapidity Gaps
• Dijet Azimuthal Correlations in QCD Hard Processes
• Off-mass-shell Sudakov-like suppression factor for the fermionic four-point function in QCD
• Single-inclusive hadron production in transversely polarized p-p and pbar-p collisions with threshold resummation
• The role of the threshold variable in soft-gluon resummation of the $t\bar{t}h$ production process
• NNLO results for heavy quark and direct photon production near threshold
• Direct- and Resolved-Photon Threshold Resummation for Polarized High-$p_T$ Hadron Production at COMPASS
• Non-relativistic high-energy physics: top production and dark matter annihilation
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• Dijet Event Shapes as Diagnostic Tools
• Squark production with R-symmetry beyond NLO at the LHC
• Prospects for CP-violation searches in the future experiment with RF-separated K+/- beam at U-70
• Coherent gluon radiation: beyond leading-log accuracy
• Super-leading logarithms in gaps-between-jets
• Electroweak radiative corrections and unitarity of Standard Model
• Effective Field Theories for the LHC
• Some Recent Developments in Perturbative Quantum Chromodynamics
• Towards Colour Flow Evolution at Two Loops
• Integrands of Less-Supersymmetric Yang-Mills at One Loop
• Boomerang webs up to three-loop order
• Status of resummed predictions for QCD final state observables
• Single-inclusive jet production in polarized pp collisions at RHIC to next-to-leading logarithmic accuracy
• Resummation of threshold double logarithms in quarkonium fragmentation functions
• Leading and Non-leading Singularities in Gauge Theory Hard Scattering
• Toward NNLL Resummation for Hadron Production in Hadronic Collisions
• Higher-order QCD corrections to supersymmetric particle production and decay at the LHC
• Automated Resummation and Hadron Collider Event Shapes
• Recursion in multiplet bases for tree-level MHV gluon amplitudes
• Spin Effects in Quantum Chromodynamics and Recurrence Lattices with Multi-Site Exchanges
• Some Basic Concepts of Perturbative QCD
• Heavy Flavours at Colliders
• NNLL resummation for squark-antisquark production
• QCD resummation for high-p${}_T$ jet shapes at hadron colliders
• Resummation for $tqH$ production