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 (377)

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• Automation of next-to-leading order computations in QCD: the FKS subtraction
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• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• On-Shell Methods in Perturbative QCD
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Motivic Amplitudes and Cluster Coordinates
• One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Next-to-Leading Order QCD Predictions for W+3-Jet Distributions at Hadron Colliders
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
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• NNLO QCD predictions for single jet inclusive production at the LHC
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• The Cut-Constructible Part of QCD Amplitudes
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
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• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• Bending of Light in Quantum Gravity
• Color-Kinematics Duality for QCD Amplitudes
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• All tree-level amplitudes in N=4 SYM
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
• Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes
• Helicity Selection Rules and Non-Interference for BSM Amplitudes
• Basics of Generalized Unitarity
• Non-MHV Tree Amplitudes in Gauge Theory
• Taming Tree Amplitudes In General Relativity
• Light-like Scattering in Quantum Gravity
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• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
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• Calculating Track-Based Observables for the LHC
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• Recursive Calculation of One-Loop QCD Integral Coefficients
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• One-Loop Gluon Scattering Amplitudes in Theories with $N<4$ Supersymmetries
• Evidence for a Nonplanar Amplituhedron
• Dual Identities inside the Gluon and the Graviton Scattering Amplitudes
• All tree-level amplitudes in massless QCD
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• Tree-level Amplitudes in the Nonlinear Sigma Model
• New Relations for Einstein-Yang-Mills Amplitudes
• MHV-Vertices for Gravity Amplitudes
• Exposing the QCD Splitting Function with CMS Open Data
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• MHV Rules for Higgs Plus Multi-Parton Amplitudes
• Fragmentation in Jets at NNLO
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Twistor-Inspired Construction of Electroweak Vector Boson Currents
• The electroweak effective field theory from on-shell amplitudes
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• Exclusive physics at the LHC with SuperChic 2
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• Monodromy Relations in Higher-Loop String Amplitudes
• Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
• All-Multiplicity Amplitudes with Massive Scalars
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• Exploring the S-Matrix of Massless Particles
• Covariant Color-Kinematics Duality
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• Scattering amplitudes with off-shell quarks
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• Parton branching at amplitude level
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• Enumerating higher-dimensional operators with on-shell amplitudes
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
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• Compact multigluonic scattering amplitudes with heavy scalars and fermions
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• The rational parts of one-loop QCD amplitudes I: The general formalism
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• Factorization and Resummation for Generic Hierarchies between Jets
• Collinear factorization violation and effective field theory
• On the soft limit of open string disk amplitudes with massive states
• New Relations for Gauge-Theory Amplitudes with Matter
• Multigluonic scattering amplitudes of heavy quarks
• Simplicity in the Structure of QED and Gravity Amplitudes
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• Wilson lines and gauge invariant off-shell amplitudes
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• Complete Six-Gluon Disk Amplitude in Superstring Theory
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• Collinear Limits in QCD from MHV Rules
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• Perturbative QCD description of jet data from LHC Run-I and Tevatron Run-II
• A Note on MHV Amplitudes for Gravitons
• Tree and Loop Amplitudes in Open Twistor String Theory
• Planar quark scattering at strong coupling and universality
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
• Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes
• Factorization and Regularization by Dimensional Reduction
• Multi-Parton Scattering Amplitudes via On-Shell Methods
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• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
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• Graviton as a Pair of Collinear Gauge Bosons
• Colour Decompositions of Multi-quark One-loop QCD Amplitudes
• One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity
• Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
• CSW rules for a massive scalar
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Automating QCD amplitudes with on-shell methods
• Loop-level gluon OPEs in celestial holography
• Spinor helicity methods in high-energy factorization: efficient momentum-space calculations in the Color Glass Condensate formalism
• A Course in Amplitudes
• Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
• Full Colour for Loop Amplitudes in Yang-Mills Theory
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS
• Conformal Supergravity Tree Amplitudes from Open Twistor String Theory
• The role of colour flows in matrix element computations and Monte Carlo simulations
• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
• Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
• Graviton Amplitudes from Collinear Limits of Gauge Amplitudes
• Orbifolding the Twistor String
• Central exclusive production as a probe of the gluonic component of the eta' and eta mesons
• Double Virtual corrections for gluon scattering at NNLO
• QCD and Jets at Hadron Colliders
• Relations of loop partial amplitudes in gauge theory by Unitarity cut method
• On-shell supersymmetry for massive multiplets
• Full-color three-loop three-point form factors in N=4 SYM
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills
• Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy
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• All-order celestial OPE in the MHV sector
• Spin-Dependent Antenna Splitting Functions
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• Massive On-Shell Supersymmetric Scattering Amplitudes
• Helicity Antenna Showers for Hadron Colliders
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Central jet production as a probe of the perturbative formalism for exclusive diffraction
• Triple collinear splitting functions at NLO for scattering processes with photons
• Conformal Invariance of the One-Loop All-Plus Helicity Scattering Amplitudes
• Gluon Tree Amplitudes in Open Twistor String Theory
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space
• Exclusive production of double $J/\psi$ mesons in hadronic collisions
• Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings
• Studying top quark decay into the polarized W-boson in the TC2 model
• On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes
• Collinear expansion for color singlet cross sections
• On radiative QCD backgrounds to exclusive H -> b bbar production at the LHC and a photon collider
• Boundary Contributions Using Fermion Pair Deformation
• Non-Standard Neutrino Interactions at Colliders
• Gravitino Interactions from Yang-Mills Theory
• Polarized triple-collinear splitting functions at NLO for processes with photons
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• Color ordering in QCD
• Top-quark processes at NLO in production and decay
• Hybrid kT-factorization and impact factors at NLO
• BCFW recursion for TMD parton scattering
• Unitarity Method with Spurious Pole
• Soft Theorems from Effective Field Theory
• Comparing efficient computation methods for massless QCD tree amplitudes: Closed Analytic Formulae versus Berends-Giele Recursion
• Seven parton amplitudes from recursion relations
• Multiparticle Higgs and Vector Boson Amplitudes at Threshold
• On a possibility of a UV finite N=8 supergravity
• TMD gluon distributions for multiparton processes
• RG of GR from On-shell Amplitudes
• Colourful FKS subtraction
• Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes
• Soft limits of the wavefunction in exceptional scalar theories
• NNLO QCD corrections in full colour for jet production observables at the LHC
• Higher-order tree-level amplitudes in the nonlinear sigma model
• Four-fermion operators at dimension 6: dispersion relations and UV completions
• Global Poles of the Two-Loop Six-Point N=4 SYM integrand
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Toptet
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• A new window at the LHC: BSM signals using tagged protons
• Digging for Top Squarks from Higgs data: from signal strengths to differential distributions
• A Portable Parton-Level Event Generator for the High-Luminosity LHC
• Non-factorisable contribution to $t$-channel single-top production
• Searching for string resonances in e^+e^- and γγcollisions
• Exploring minijets beyond the leading power
• The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
• Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Inclusive-jet and Di-jet Production in Polarized Deep Inelastic Scattering
• One-loop gg->bb(bar) effects in the main irreducible background to exclusive H->bb(bar) production at the LHC
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory
• Color structures and permutations
• Construction of Infrared Finite Observables in N=4 Super Yang-Mills Theory
• Radiative QCD backgrounds to exclusive H -> bb(bar) production: radiation from the screening gluon
• Twistor-inspired construction of massive quark amplitudes
• An interpretation of multigraviton amplitudes
• Wilson lines in the MHV action
• BCJ Relations for One-Loop QCD Integral Coefficients
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• Recursion relations and scattering amplitudes in the light-front formalism
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• Color-Kinematics Duality for Sudakov Form Factor in Non-Supersymmetric Pure Yang-Mills Theory
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• Infrared Safe Observables in $\mathcal{N}=4$ Super Yang-Mills Theory
• All-plus helicity off-shell gauge invariant multigluon amplitudes at one loop
• A Surprise in the Amplitude/Wilson Loop Duality
• Separation of soft and collinear infrared limits of QCD squared matrix elements
• Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• Selection rules for helicity amplitudes in massive gauge theories
• The chirality-flow formalism
• The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction
• The chirality-flow formalism for the standard model
• Generalized Color Orderings: CEGM Integrands and Decoupling Identities
• Forward trijet production in p-p and p-Pb collisions at LHC
• Higgs Boson as a Dilaton
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
• Muon $g-2$ discrepancy within D-brane string compactifications
• Antenna subtraction for jet production observables in full colour at NNLO
• Composite Higgs at high transverse momentum
• The five-gluon amplitude in the high-energy limit
• Recursive equations for arbitrary scattering processes
• Planar radiation zeros in five-parton QCD amplitudes
• Color-Dressed Generalized Biadjoint Scalar Amplitudes: Local Planarity
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• TeV Scale Strings and Scattering Amplitudes at the LHC
• Probing the perturbative dynamics of exclusive meson pair production
• Twistor Strings with Flavour
• Non-Global Correlations in Collider Physics
• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Two-loop n-point anomalous amplitudes in N=4 supergravity
• The two-loop Higgs impact factor
• Remarks on Limits on String Scale from Proton Decay and Low-Energy amplitudes in Braneworld Scenario
• Generating QCD amplitudes in the color-flow basis with MadGraph
• The last of the seven-parton tree amplitudes
• The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
• Top Quark Amplitudes with an Anomalous Magnetic Moment
• Plahte Diagrams for String Scattering Amplitudes
• Hard QCD at hadron colliders
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• Twistors, strings and supersymmetric gauge theories
• Similarity between Kaluza-Klein and Open-string amplitudes in Diphoton Production
• Perturbative gauge theory and 2+2=4
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• Automating scattering amplitudes with chirality flow
• FKS subtraction for quarkonium production at NLO
• Gluon cascades and amplitudes in light-front perturbation theory
• A Note on Loop Amplitudes in QED
• MHV Lagrangians for Yang--Mills and QCD
• Scattering amplitudes in gauge theories with and without supersymmetry
• Recursive relations for a quiver gauge theory
• Designing Observables for Quantum Interference in Jets at Subleading Color
• One-loop triple collinear splitting amplitudes in QCD
• On perturbative field theory and twistor string theory
• One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices
• String Physics at the LHC
• General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion
• Non-abelian soft radiation data for a celestial theory
• Helicity Amplitudes for production of massive gravitino/goldstino
• QCD amplitudes with 2 initial spacelike legs via generalised BCFW recursion
• On the gauge chosen by the bosonic open string
• Born amplitudes in QCD from scalar diagrams
• Two-loop Splitting Amplitudes
• Anomaly Puzzle, Curved-Spacetime Spinor Hamiltonian, and String Phenomenology
• How to calculate colourful cross sections efficiently
• Towards Amplituhedron via One-Dimensional Theory
• Recursion in multiplet bases for tree-level MHV gluon amplitudes
• Invariant color calculus and generalized Balitsky-Kovchegov hierarchy
• On-shell Methods for Form Factors in N=4 SYM and Their Applications
• Factorization Formulas for Tree Amplitudes
• A Tale Of Two Amplitudes In High Energy Physics
• Forward-backward asymmetries of the heavy quark pair production in $e^{+}{e}^{-}$ collisions at $\mathcal{O}({\alpha }_s^2)$
• Manifestations of String Theory in Astrophysical Data and at the LHC
• Color-factor symmetry and BCJ relations for QCD amplitudes
• Two-to-two processes at an electron-muon collider
• MUMUG: a fast Monte Carlo generator for radiative muon pair production (a pedagogical tutorial)
• The fusion of hard and soft Pomerons: 3-jet diffractive production
• QCD Beyond Leading Power
• Two-loop Yang-Mills diagrams from superstring amplitudes