Multi-Parton Amplitudes in Gauge Theories

Abstract

In this report we review recent developments in perturbation theory methods for gauge theories. We present techniques and results that are useful in the calculation of cross sections for processes with many final state partons which have applications in the study of multi-jet phenomena in high-energy Colliders.

84 pages, 12 figures: Latex, preprint version of 1991 Physics Reports article. Scanned Figures

Cited by in corpus (528)

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• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
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• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
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• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
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• A new approach to multi-jet calculations in hadron collisions
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
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• The Cut-Constructible Part of QCD Amplitudes
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• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• Evidence for a Nonplanar Amplituhedron
• On amplitudes in self-dual sector of Yang-Mills theory
• All tree-level amplitudes in massless QCD
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• Dual Identities inside the Gluon and the Graviton Scattering Amplitudes
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• Tree-level Amplitudes in the Nonlinear Sigma Model
• One Loop Multiphoton Helicity Amplitudes
• Cubic Twistorial String Field Theory
• New Relations for Einstein-Yang-Mills Amplitudes
• MHV-Vertices for Gravity Amplitudes
• On the computation of multigluon amplitudes
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• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• H-->ggg(gqqbar) at Two Loops in the Large-M_t Limit
• Single Top Quark Production and Decay at Next-to-leading Order in Hadron Collision
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• Multi-Gluon Collinear Limits from MHV diagrams
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• Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
• Covariant Color-Kinematics Duality
• Scattering amplitudes with off-shell quarks
• Calculating Track Thrust with Track Functions
• Infrared Singularities of Scattering Amplitudes and N${}^3$LL Resummation for $n$-Jet Processes
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• Supersymmetry Relations and MHV Amplitudes in Superstring Theory
• Double-Copy Constructions and Unitarity Cuts
• Quarkonium Photoproduction at Next-to-leading Order
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• Low Energy Theorems of Quantum Gravity from Effective Field Theory
• Second Order Fermions in Gauge Theories
• Multi-gluon helicity amplitudes with one off-shell leg within high energy factorization
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• Compact Formulas for Tree Amplitudes of Six Partons
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• Parton branching at amplitude level
• Two-Loop Renormalization of Quantum Gravity Simplified
• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• All Googly Amplitudes from the B-model in Twistor Space
• Enumerating higher-dimensional operators with on-shell amplitudes
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• Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
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• Dijet Production at Large Rapidity Separation in N=4 SYM
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• TeV-Scale String Resonances at Hadron Colliders
• An Introduction to On-shell Recursion Relations
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• Equivalence of the Parke-Taylor and the Fadin-Kuraev-Lipatov amplitudes in the high-energy limit
• Decay widths of lowest massive Regge excitations of open strings
• Structure of Infrared Singularities of Gauge-Theory Amplitudes at Three and Four Loops
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• Conformal Invariance of the Subleading Soft Theorem in Gauge Theory
• Interference of Higgs diphoton signal and background in production with a jet at the LHC
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• Collinear factorization violation and effective field theory
• New Relations for Gauge-Theory Amplitudes with Matter
• Simplicity in the Structure of QED and Gravity Amplitudes
• Multigluonic scattering amplitudes of heavy quarks
• On the soft limit of open string disk amplitudes with massive states
• MHV Techniques for QED Processes
• Real-Virtual corrections for gluon scattering at NNLO
• Production-decay interferences at NLO in QCD for t-channel single-top production
• The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space
• Polarized 3 parton production in inclusive DIS at small x
• Double collinear splitting amplitudes at next-to-leading order
• Scattering Amplitudes in Quantum Field Theory
• SD Perturbiner in YM+Gravity
• Wilson lines and gauge invariant off-shell amplitudes
• MHV Vertices and Scattering Amplitudes in Gauge Theory
• Supersymmetry Relations Between Contributions To One-Loop Gauge Boson Amplitudes
• BCFW recursion for off-shell gluons
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Quark-antiquark contribution to the multigluon amplitudes in the helicity formalism
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Susy Theories and QCD: Numerical Approaches
• Soft gluon emission at two loops in full color
• Complete Six-Gluon Disk Amplitude in Superstring Theory
• Virtual Next-to-Leading Corrections to the Lipatov Vertex
• Two-loop scalar diagrams from string theory
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• Collinear Limits in QCD from MHV Rules
• Perturbative QCD description of jet data from LHC Run-I and Tevatron Run-II
• A Note on MHV Amplitudes for Gravitons
• Planar quark scattering at strong coupling and universality
• Virtual Next-to-Leading Corrections to the Impact Factors in the High-Energy Limit
• Chemical equilibrium in QCD gas in the early universe
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Tree and Loop Amplitudes in Open Twistor String Theory
• Multi-Parton Scattering Amplitudes via On-Shell Methods
• Factorization and Regularization by Dimensional Reduction
• Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes
• All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes
• Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
• Unitarity-based Techniques for One-Loop Calculations in QCD
• New structures in scattering amplitudes: a review
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• Efficient Color-Dressed Calculation of Virtual Corrections
• Cross sections for multi-particle final states at a linear collider
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• SU(N) group-theory constraints on color-ordered five-point amplitudes at all loop orders
• Jet cross sections at the LHC and the quest for higher precision
• The quark Regge trajectory at two loops
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• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
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• Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
• CSW rules for a massive scalar
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• String Resonances at Hadron Colliders
• Spin-Dependent Antenna Splitting Functions
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Helicity Antenna Showers for Hadron Colliders
• Triple collinear splitting functions at NLO for scattering processes with photons
• Conformal Invariance of the One-Loop All-Plus Helicity Scattering Amplitudes
• Central jet production as a probe of the perturbative formalism for exclusive diffraction
• Collinear expansion for color singlet cross sections
• Studying top quark decay into the polarized W-boson in the TC2 model
• Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings
• Boundary Contributions Using Fermion Pair Deformation
• Gluon Tree Amplitudes in Open Twistor String Theory
• On radiative QCD backgrounds to exclusive H -> b bbar production at the LHC and a photon collider
• Exclusive production of double $J/\psi$ mesons in hadronic collisions
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space
• On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes
• Non-Standard Neutrino Interactions at Colliders
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• Reduction of multi-leg loop integrals
• Gravitino Interactions from Yang-Mills Theory
• Polarized triple-collinear splitting functions at NLO for processes with photons
• Simplifying Algebra in Feynman Graphs, Part III: Massive Vectors
• Top-quark processes at NLO in production and decay
• Hybrid kT-factorization and impact factors at NLO
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• Color ordering in QCD
• TeV String State Excitation via High Energy Cosmic Neutrinos
• Unitarity Method with Spurious Pole
• Production of a Higgs pseudoscalar plus two jets in hadronic collisions
• BCFW recursion for TMD parton scattering
• Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions
• Soft Theorems from Effective Field Theory
• Deconstructing Angular Correlations in ZH, ZZ, and WW Production at LEP2
• On a possibility of a UV finite N=8 supergravity
• Colourful FKS subtraction
• Multiparticle Higgs and Vector Boson Amplitudes at Threshold
• RG of GR from On-shell Amplitudes
• TMD gluon distributions for multiparton processes
• Seven parton amplitudes from recursion relations
• Comparing efficient computation methods for massless QCD tree amplitudes: Closed Analytic Formulae versus Berends-Giele Recursion
• Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes
• Gluon induced contributions to WZ and W gamma production at NNLO
• Multiphoton Production at High Energies in the Standard Model I
• One-loop corrections to the D3 brane action
• NNLO QCD corrections in full colour for jet production observables at the LHC
• Soft limits of the wavefunction in exceptional scalar theories
• Global Poles of the Two-Loop Six-Point N=4 SYM integrand
• Four-fermion operators at dimension 6: dispersion relations and UV completions
• Toptet
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Higher-order tree-level amplitudes in the nonlinear sigma model
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• Searching for string resonances in e^+e^- and γγcollisions
• A new window at the LHC: BSM signals using tagged protons
• Digging for Top Squarks from Higgs data: from signal strengths to differential distributions
• Non-factorisable contribution to $t$-channel single-top production
• A Portable Parton-Level Event Generator for the High-Luminosity LHC
• Helicity Amplitudes for Single-Top Production
• DIAGRAMMATIC ANALYSIS OF QCD GAUGE TRANSFORMATIONS AND GAUGE CANCELLATIONS
• Navigating Around the Algebraic Jungle of QCD: Efficient Evaluation of Loop Helicity Amplitudes
• Inclusive-jet and Di-jet Production in Polarized Deep Inelastic Scattering
• The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
• Exploring minijets beyond the leading power
• Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• On Perturbative Gravity and Gauge Theory
• Recent Progress in Perturbative Quantum Field Theory
• Jet Investigations Using the Radial Moment
• One-loop gg->bb(bar) effects in the main irreducible background to exclusive H->bb(bar) production at the LHC
• N=2 Quantum String Scattering
• Color structures and permutations
• Construction of Infrared Finite Observables in N=4 Super Yang-Mills Theory
• Twistor-inspired construction of massive quark amplitudes
• Radiative QCD backgrounds to exclusive H -> bb(bar) production: radiation from the screening gluon
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory
• An interpretation of multigraviton amplitudes
• BCJ Relations for One-Loop QCD Integral Coefficients
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• Wilson lines in the MHV action
• Recursion relations and scattering amplitudes in the light-front formalism
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• An Infinite Set of Tree Amplitudes in Higgs-Yang-Mills
• Infrared Safe Observables in $\mathcal{N}=4$ Super Yang-Mills Theory
• Color-Kinematics Duality for Sudakov Form Factor in Non-Supersymmetric Pure Yang-Mills Theory
• Multiphoton Production at High Energies in the Standard Model II
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• Optimal Spin Basis in Polarized Photon Linear Colliders
• String Organization of Field Theories: Duality and Gauge Invariance
• Light Gluinos and Jet Production in $\bar{p}p$ Collisions
• Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• Separation of soft and collinear infrared limits of QCD squared matrix elements
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• A Surprise in the Amplitude/Wilson Loop Duality
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• The chirality-flow formalism
• Generalized Gluon Currents and Applications in QCD
• Virtual photon structure functions and positivity constraints
• Selection rules for helicity amplitudes in massive gauge theories
• One-loop QCD Correction for Inclusive Jet Production and Drell-Yan Process in Composite Models
• Six-jet production at lepton colliders
• Generalized Color Orderings: CEGM Integrands and Decoupling Identities
• The chirality-flow formalism for the standard model
• The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction
• Higgs Boson as a Dilaton
• Systematics of one-loop Yang-Mills diagrams from bosonic string amplitudes
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
• Composite Higgs at high transverse momentum
• Muon $g-2$ discrepancy within D-brane string compactifications
• Antenna subtraction for jet production observables in full colour at NNLO
• Two-Loop Diagrammatics in a Self-Dual Background
• Recursive equations for arbitrary scattering processes
• The five-gluon amplitude in the high-energy limit
• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• Non-Global Correlations in Collider Physics
• Color-Dressed Generalized Biadjoint Scalar Amplitudes: Local Planarity
• Planar radiation zeros in five-parton QCD amplitudes
• TeV Scale Strings and Scattering Amplitudes at the LHC
• Probing the perturbative dynamics of exclusive meson pair production
• Twistor Strings with Flavour
• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• Recovering Infinities in Graviton Scattering Amplitudes using Cutkosky rules
• The two-loop Higgs impact factor
• Hard QCD at hadron colliders
• The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
• Remarks on Limits on String Scale from Proton Decay and Low-Energy amplitudes in Braneworld Scenario
• The last of the seven-parton tree amplitudes
• Plahte Diagrams for String Scattering Amplitudes
• Generating QCD amplitudes in the color-flow basis with MadGraph
• Top Quark Amplitudes with an Anomalous Magnetic Moment
• Two-loop n-point anomalous amplitudes in N=4 supergravity
• Ultra-Violet Infinities and Counterterms in Higher Dimensional Yang-Mills
• Perturbative gauge theory and 2+2=4
• Five-parton amplitudes with two-quark and two-photon at Next-to-Leading Order
• Automating scattering amplitudes with chirality flow
• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
• Similarity between Kaluza-Klein and Open-string amplitudes in Diphoton Production
• Twistors, strings and supersymmetric gauge theories
• FKS subtraction for quarkonium production at NLO
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• MHV Lagrangians for Yang--Mills and QCD
• How to Integrate Divergent Integrals: a Pure Numerical Approach to Complex Loop Calculations
• A technique for loop calculations in non-Abelian gauge theories - with application to five gluon amplitude
• Gluon cascades and amplitudes in light-front perturbation theory
• Multi-Photon Amplitudes for Next-to-Leading Order QCD
• Higgs Boson Production in Hadron-Hadron Colliders
• Pentagon Integrals for Heavy Quark Physics
• Recalculation of Pion Compton Scattering in Perturbative QCD
• A Note on Loop Amplitudes in QED
• Detection of Neutral MSSM Higgs Bosons at LEP-II and NLC
• String Physics at the LHC
• Designing Observables for Quantum Interference in Jets at Subleading Color
• One-loop triple collinear splitting amplitudes in QCD
• Scattering amplitudes in gauge theories with and without supersymmetry
• Generalized Background-Field Method
• One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices
• NLO calculations in QCD: a general algorithm
• Recursive relations for a quiver gauge theory
• On perturbative field theory and twistor string theory
• On the gauge chosen by the bosonic open string
• Anomaly Puzzle, Curved-Spacetime Spinor Hamiltonian, and String Phenomenology
• Helicity Amplitudes for production of massive gravitino/goldstino
• Born amplitudes in QCD from scalar diagrams
• Two-loop Splitting Amplitudes
• Non-abelian soft radiation data for a celestial theory
• Detecting the MSSM Higgs Bosons at Future $e^{+}{e}^{-}$ Colliders
• How to calculate colourful cross sections efficiently
• QCD amplitudes with 2 initial spacelike legs via generalised BCFW recursion
• General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion
• Two-loop Yang-Mills diagrams from superstring amplitudes
• Two-to-two processes at an electron-muon collider
• Steps towards NNLO QCD calculations: collinear factorization at O(α_S^2)
• QCD Beyond Leading Power
• On-shell Methods for Form Factors in N=4 SYM and Their Applications
• Recursion in multiplet bases for tree-level MHV gluon amplitudes
• Two-loop corrections to $gg\to \gamma \gamma$
• Color-factor symmetry and BCJ relations for QCD amplitudes
• Invariant color calculus and generalized Balitsky-Kovchegov hierarchy
• Manifestations of String Theory in Astrophysical Data and at the LHC
• The fusion of hard and soft Pomerons: 3-jet diffractive production
• Towards Amplituhedron via One-Dimensional Theory
• A Tale Of Two Amplitudes In High Energy Physics
• Forward-backward asymmetries of the heavy quark pair production in $e^{+}{e}^{-}$ collisions at $\mathcal{O}({\alpha }_s^2)$
• Factorization Formulas for Tree Amplitudes
• MUMUG: a fast Monte Carlo generator for radiative muon pair production (a pedagogical tutorial)