One-Loop Corrections to Two-Quark Three-Gluon Amplitudes
arXiv:hep-ph/9409393 · doi:10.1016/0550-3213(94)00542-M
Abstract
We present the one-loop QCD amplitudes for two external massless quarks and three external gluons (). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at hadron colliders. We also discuss how to use group theory and supersymmetry to minimize the amount of calculation required for the more general case of one-loop two-quark -gluon amplitudes. We use collinear limits to provide a stringent check on the amplitudes.
plain Tex, 46 pages with 13 figures in a uuencoded file, corrected case j=1 of eq. (IV.7), and signs in eq. (4.9)
References in corpus (18)
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Multi-Parton Amplitudes in Gauge Theories
- Dimensionally Regulated Pentagon Integrals
- Higher Order Corrections to Jet Cross Sections in Hadron Colliders
- Field Theory Without Feynman Diagrams: One-Loop Effective Actions
- One-Loop Corrections to Five-Gluon Amplitudes
- Dimensionally Regulated One-Loop Integrals
- One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits
- On the Calculation of Effective Actions by String Methods
- One-loop helicity amplitudes for all 2 -> 2 processes in QCD and N=1 supersymmetric Yang-Mills theory
- String-Based Methods in Perturbative Gravity
- Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes
- Worldline Green Functions for Multiloop Diagrams
- Multigluon Helicity Amplitudes Involving a Quark Loop
- One Loop Multiphoton Helicity Amplitudes
- Supersymmetry Relations Between Contributions To One-Loop Gauge Boson Amplitudes
- Multiloop String-Like Formulas for QED
- Navigating Around the Algebraic Jungle of QCD: Efficient Evaluation of Loop Helicity Amplitudes
Cited by in corpus (176)
- Three-jet cross sections to next-to-leading order
- Antenna Subtraction at NNLO
- Next-to-leading order calculation of three-jet observables in hadron-hadron collision
- One-Loop Amplitudes for e^+ e^- to Four Partons
- New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
- Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
- Massive Loop Amplitudes from Unitarity
- Reduction of one-loop tensor 5-point integrals
- Progress in One-Loop QCD Computations
- Three-jet cross sections in hadron-hadron collisions at next-to-leading order
- Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills
- On-Shell Methods in Perturbative QCD
- The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
- One-Loop Splitting Amplitudes in Gauge Theory
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- The soft-gluon current at one-loop order
- One-Loop Self-Dual and N=4 Super Yang-Mills
- One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
- The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order
- Double Unresolved Approximations to Multiparton Scattering Amplitudes
- Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
- Automated one-loop calculations: a proof of concept
- Next-to-Leading Order QCD Predictions for W+3-Jet Distributions at Hadron Colliders
- Higgs production with large transverse momentum in hadronic collisions at next-to-leading order
- Factorization in One-Loop Gauge Theory
- Away-from-jet energy flow
- On-Shell Recurrence Relations for One-Loop QCD Amplitudes
- Precise Predictions for W + 3 Jet Production at Hadron Colliders
- Supersymmetric Regularization, Two-Loop QCD Amplitudes and Coupling Shifts
- Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
- Masses, fermions and generalized D-dimensional unitarity
- Two-loop QCD corrections to gluon-gluon scattering
- Infrared Structure of jets at NNLO
- NNLO QCD predictions for single jet inclusive production at the LHC
- Gluon-Gluon Antenna Functions from Higgs Boson Decay
- All-Order Collinear Behavior in Gauge Theories
- Quark-Gluon Antenna Functions from Neutralino Decay
- Bootstrapping Multi-Parton Loop Amplitudes in QCD
- Numerical evaluation of virtual corrections to multi-jet production in massless QCD
- NLO QCD corrections to top quark pair production and decay at hadron colliders
- The Cut-Constructible Part of QCD Amplitudes
- Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- NLO QCD corrections to top quark pair production in association with one hard jet at hadron colliders
- Bootstrapping One-Loop QCD Amplitudes with General Helicities
- Next-to-Leading Order QCD Predictions for Z,gamma^*+3-Jet Distributions at the Tevatron
- Two-loop QCD corrections to the scattering of massless distinct quarks
- Two-loop QCD corrections to massless quark-gluon scattering
- Feynman Rules for the Rational Part of the QCD 1-loop amplitudes
- Direct Extraction Of One Loop Rational Terms
- General subtraction method for numerical calculation of one-loop QCD matrix elements
- Helicity Amplitudes for Production of or Pairs at Hadron Colliders
- Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
- Infrared structure of e+e- --> 3 jets at NNLO
- Four-Jet Production at the Large Hadron Collider at Next-to-Leading Order in QCD
- Next-to-Leading Order W + 5-Jet Production at the LHC
- Two-Loop Correction to Bhabha Scattering
- The Last of the Finite Loop Amplitudes in QCD
- Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
- Precise predictions for dijet production at the LHC
- Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
- QCD corrections to top quark pair production in association with a photon at hadron colliders
- Next-to-leading order QCD predictions for W+W+jj production at the LHC
- Generalized unitarity at work: first NLO QCD results for hadronic W+3jet production
- One-Loop Amplitudes for e^+ e^- to q-bar q Q-bar Q
- Two-loop QCD corrections to massless identical quark scattering
- Analytic form of the full two-loop five-gluon all-plus helicity amplitude
- Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
- Bounding the Higgs Boson Width Through Interferometry
- Three-gluon vertex in arbitrary gauge and dimension
- Antenna Factorization in Strongly-Ordered Limits
- The One-loop QCD Corrections for
- Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
- Loop amplitudes in gauge theories: modern analytic approaches
- Regularization Scheme Independence and Unitarity in QCD Cross Sections
- Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
- How Far Are We from the Quantum Theory of Gravity?
- Twistor-Inspired Construction of Electroweak Vector Boson Currents
- Numerical NLO QCD calculations
- Scattering amplitudes: the most perfect microscopic structures in the universe
- Single-jet inclusive rates with exact color at
- One-Loop Tensor Integrals in Dimensional Regularisation
- Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
- Gluon-gluon contributions to the production of continuum diphoton pairs at hadron colliders
- Self-dual Yang--Mills Theory and One-Loop Maximally Helicity Violating Multi-Gluon Amplitudes
- Calculation of prompt diphoton production cross sections at Tevatron and LHC energies
- Two-loop QCD helicity amplitudes for massless quark-quark scattering
- Calculation of QCD jet cross sections at next-to-leading order
- One-loop amplitudes for W+3 jet production in hadron collisions
- Progress in NNLO calculations for scattering processes
- NLO QCD corrections for W^+W^- pair production in association with two jets at hadron colliders
- Feynman rules for the rational part of the Electroweak 1-loop amplitudes
- From Trees to Loops and Back
- NLO QCD corrections to five-jet production at LEP and the extraction of alpha_s(M_Z)
- Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
- Multi-gluon one-loop amplitudes using tensor integrals
- Measurement of the inclusive jet cross-sections in proton--proton collisions at 8 TeV with the ATLAS detector
- Towards pp -> VVjj at NLO QCD: Bosonic contributions to triple vector boson production plus jet
- Analytic results for the one-loop NMHV Hqqgg amplitude
- Driving Missing Data at Next-to-Leading Order
- QCD radiative corrections to prompt diphoton production in association with a jet at hadron colliders
- The one-loop amplitude for six-gluon scattering
- Diphoton production at the LHC: a QCD study up to NNLO
- Two photons plus jet al LHC: the NNLO contribution from the gg initiated process
- Scattering Amplitudes in Quantum Field Theory
- Susy Theories and QCD: Numerical Approaches
- Efficiency improvements for the numerical computation of NLO corrections
- Virtual Next-to-Leading Corrections to the Impact Factors in the High-Energy Limit
- Unitarity-based Techniques for One-Loop Calculations in QCD
- One-Loop Helicity Amplitudes for ttbar Production at Hadron Colliders
- Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
- Feynman rules for the rational part of the Electroweak 1-loop amplitudes in the R_xi gauge and in the Unitary gauge
- Multi-Quark Colour Decompositions from Unitarity
- Jet cross sections at the LHC and the quest for higher precision
- Triphoton production at hadron colliders
- A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes
- Employing Helicity Amplitudes for Resummation
- Feynman Rules for the Rational Part of the Standard Model One-loop Amplitudes in the 't Hooft-Veltman Scheme
- Colour Decompositions of Multi-quark One-loop QCD Amplitudes
- The rational parts of one-loop QCD amplitudes III: The six-gluon case
- Loop-level gluon OPEs in celestial holography
- Next-to-Leading Order Gamma Gamma + 2-Jet Production at the LHC
- Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
- Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
- Three-jet production in POWHEG
- Evolution Kernels from Splitting Amplitudes
- On-shell two-loop three-gluon vertex
- NLO QCD Predictions for Production in Association with up to Three Light Jets at the LHC
- Proof of a new colour decomposition for QCD amplitudes
- Infrared singularities in one-loop amplitudes
- The rational parts of one-loop QCD amplitudes II: The five-gluon case
- One-loop corrections to five-parton amplitudes with external photons
- One-loop QCD helicity amplitudes for to
- Gluon induced contributions to Z gamma production at hadron colliders
- One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
- Color ordering in QCD
- One-Loop QCD and Higgs to Partons Processes Using Six-Dimensional Helicity and Generalized Unitarity
- A unitarity compatible approach to one-loop amplitudes with massive fermions
- The colourful antenna subtraction method
- NNLO QCD corrections in full colour for jet production observables at the LHC
- Diphoton production at Next-to-Next-to-Leading-Order
- External leg corrections in the unitarity method
- Three-jet cross section in hadron collisions at next-to-leading order: pure gluon processes
- Consistency conditions from generalized-unitarity
- The CHY representation of tree-level primitive QCD amplitudes
- Jet Investigations Using the Radial Moment
- Recent Progress in Perturbative Quantum Field Theory
- Scattering Amplitude from Quantum Computing with Reduction Formula
- Feynman Rules for the Rational Part of One-loop QCD Corrections in the MSSM
- Relation between Worldline Green Functions for Scalar Two-Loop Diagrams
- Nonlinear dynamics of soft fermion excitations in hot QCD plasma III: Soft-quark bremsstrahlung and energy losses
- Recursion Rules for Scattering Amplitudes in Non-Abelian Gauge Theories
- Transverse-momentum resummation for the signal-background interference in the channel at the LHC
- Recursion relations, Helicity Amplitudes and Dimensional Regularization
- Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- Extrapolating W-Associated Jet-Production Ratios at the LHC
- Single Photon Production at Hadron Colliders at NNLO QCD with Realistic Photon Isolation
- Gauge-boson production with multiple jets near threshold
- Progress in calculating hexagon amplitudes at one-loop
- The chirality-flow formalism
- Antenna subtraction for jet production observables in full colour at NNLO
- Recovering Infinities in Graviton Scattering Amplitudes using Cutkosky rules
- One-loop impact factor for the emission of two gluons
- Hard QCD at hadron colliders
- The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
- Ultra-Violet Infinities and Counterterms in Higher Dimensional Yang-Mills
- Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
- Five-parton amplitudes with two-quark and two-photon at Next-to-Leading Order
- Four photon production at the LHC: an application of 2->4 analytic unitarity
- Analytic Computations of Massive One-Loop Amplitudes
- The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields
- Multi-Photon Amplitudes for Next-to-Leading Order QCD
- Numerical evaluation of one-loop QCD amplitudes
- One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices
- Photon-pair jet production via gluon fusion at the LHC
- Unitarity Cuts: NLO Six-Gluon Amplitudes in QCD
- Jet physics at hadron colliders