Color-flow decomposition of QCD amplitudes

Abstract

We introduce a new color decomposition for multi-parton amplitudes in QCD, free of fundamental-representation matrices and structure constants. This decomposition has a physical interpretation in terms of the flow of color, which makes it ideal for merging with shower Monte-Carlo programs. The color-flow decomposition allows for very efficient evaluation of amplitudes with many quarks and gluons, many times faster than the standard color decomposition based on fundamental-representation matrices. This will increase the speed of event generators for multi-jet processes, which are the principal backgrounds to signals of new physics at colliders.

23 pages, 11 figures, version to appear on Phys. Rev. D

References in corpus (5)

• MadEvent: Automatic Event Generation with MadGraph
• Multi-Parton Amplitudes in Gauge Theories
• Multijet matrix elements and shower evolution in hadronic collisions: W b bbar + n jets as a case study
• PYTHIA 6.3 Physics and Manual
• Multi-jet Production in Hadron Collisions

Cited by in corpus (89)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Comix, a new matrix element generator
• Event Generation with Sherpa 2.2
• MadEvent: Automatic Event Generation with MadGraph
• WHIZARD: Simulating Multi-Particle Processes at LHC and ILC
• QCD matrix elements and truncated showers
• Antenna Subtraction at NNLO
• OpenLoops 2
• General-purpose event generators for LHC physics
• Hard Interactions of Quarks and Gluons: a Primer for LHC Physics
• NLO matrix elements and truncated showers
• Assault on the NLO Wishlist: pp -> tt bb
• RECOLA: REcursive Computation of One-Loop Amplitudes
• Recola2: REcursive Computation of One-Loop Amplitudes 2
• Helac-Phegas: a generator for all parton level processes
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Quark-Gluon Antenna Functions from Neutralino Decay
• HELAC-Onia: an automatic matrix element generator for heavy quarkonium physics
• NLO QCD corrections to top quark pair production in association with one hard jet at hadron colliders
• Forward-Backward Asymmetry of Top Quark Pair Production
• Color-dressed recursive relations for multi-parton amplitudes
• Beyond Standard Model calculations with Sherpa
• Parton showers from the dipole formalism
• Numerical NLO QCD calculations
• Introducing an interface between WHIZARD and FeynRules
• BCVEGPY2.0: A upgrade version of the generator BCVEGPY with an addendum about hadroproduction of the $P$-wave $B_c$ states
• The Effective Vector Boson Approximation in High-Energy Muon Collisions
• Simulation of vector boson plus many jet final states at the high luminosity LHC
• Multi-gluon helicity amplitudes with one off-shell leg within high energy factorization
• Automated Predictions from Polarized Matrix Elements
• GENXICC2.0: An Upgraded Version of the Generator for Hadronic Production of Double Heavy Baryons ${\Xi }_{cc}$, ${\Xi }_{bc}$ and ${\Xi }_{bb}$
• On-shell recursion relations for all Born QCD amplitudes
• Automated Squark and Gluino Production to Next-to-Leading Order
• Multi-parton Cross Sections at Hadron Colliders
• Color matrix element corrections for parton showers
• Summing Large-N Towers in Colour Flow Evolution
• Soft evolution of multi-jet final states
• Automatic generation of quarkonium amplitudes in NRQCD
• Multi-Parton Scattering Amplitudes via On-Shell Methods
• Portraying Double Higgs at the Large Hadron Collider
• Efficient Color-Dressed Calculation of Virtual Corrections
• A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes
• Employing Helicity Amplitudes for Resummation
• On stochastically sampling color configurations
• Design and engineering of a simplified workflow execution for the MG5aMC event generator on GPUs and vector CPUs
• Automated computation of spin- and colour-correlated Born matrix elements
• Numerical resummation at subleading color in the strongly ordered soft gluon limit
• Full Colour for Loop Amplitudes in Yang-Mills Theory
• Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
• The role of colour flows in matrix element computations and Monte Carlo simulations
• GENXICC2.1: An Improved Version of GENXICC for Hadronic Production of Doubly Heavy Baryons
• Production of two charm quark-antiquark pairs in single-parton scattering within the $k_t$-factorization approach
• Unweighting multijet event generation using factorisation-aware neural networks
• Infrared singularities in one-loop amplitudes
• Colour Reconnection from Soft Gluon Evolution
• Recursion relations for scattering amplitudes with massive particles
• TMD gluon distributions for multiparton processes
• The Color Discriminant Variable and Scalar Diquarks at the LHC
• CAMORRA: a C++ library for recursive computation of particle scattering amplitudes
• Automated Evaluation of One-Loop Six-Point Processes for the LHC
• QCD multiplet bases with arbitrary parton ordering
• Jet vetoing and Herwig++
• Highly Boosted Higgs Bosons and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
• Search for Mono-Higgs Signals in $b\bar{b}$ Final States Using Deep Neural Networks
• The chirality-flow formalism
• Forward trijet production in p-p and p-Pb collisions at LHC
• The chirality-flow formalism for the standard model
• Recursive equations for arbitrary scattering processes
• Boosting Vector Calculus with the Graphical Notation
• Soft gluon evolution and non-global logarithms
• Wigner 6j symbols for SU(N): Symbols with at least two quark-lines
• The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
• Wigner 6j symbols with gluon lines: completing the set of 6j symbols required for color decomposition
• Automated calculations for multi-leg processes
• Generating QCD amplitudes in the color-flow basis with MadGraph
• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
• Signal-background interference for digluon resonances at the Large Hadron Collider
• On the structure of the large-$N$ expansion in SU($N$) Yang-Mills theory
• Study of color connections in $e^{+}{e}^{-}$ annihilation
• Many-gluon tree amplitudes on modern GPUs: A case study for novel event generators
• Monte Carlo Event Generators
• Speeding up MadGraph5_aMC@NLO
• LHC Phenomenology of the Three-Site Higgsless Model
• Two Gluon Emission from MHV: Two Particle Correlations and the Deviation from Poisson
• Effective Field Theories for the LHC
• Invariant color calculus and generalized Balitsky-Kovchegov hierarchy
• Coloring mixed QCD/QED evolution