Colour Decompositions of Multi-quark One-loop QCD Amplitudes

Abstract

We describe the decomposition of one-loop QCD amplitudes in terms of colour-ordered building blocks. We give new expressions for the coefficients of QCD colour structures in terms of ordered objects called primitive amplitudes, for processes with up to seven partons. These results are needed in computations of high-multiplicity scattering cross sections in next-to-leading-order (NLO) QCD. We explain the origin of new relations between multi-quark primitive amplitudes which can be used to optimise efficiency of NLO computations. As a first application we compute the full-colour virtual contribution to the cross section for W+4-jet production at the Large Hadron Collider, and verify that it is very well approximated by keeping only the leading terms in an expansion around the formal limit of a large number of colours.

39 pages

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Cited by in corpus (26)

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• Ntuples for NLO Events at Hadron Colliders
• Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders
• NLO QCD corrections to multi-jet production at the LHC with a centre-of-mass energy of sqrt(s)=8 TeV
• W+n-jet predictions at the Large Hadron Collider at next-to-leading order matched with a parton shower
• Scattering Amplitudes in Quantum Field Theory
• Multi-Quark Colour Decompositions from Unitarity
• Getting more flavour out of one-flavour QCD
• On Three-Algebra and Bi-Fundamental Matter Amplitudes and Integrability of Supergravity
• Next-to-Leading Order Gamma Gamma + 2-Jet Production at the LHC
• Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
• Full Colour for Loop Amplitudes in Yang-Mills Theory
• Missing Energy and Jets for Supersymmetry Searches
• Proof of a new colour decomposition for QCD amplitudes
• NLO QCD Predictions for $Wb\bar{b}$ Production in Association with up to Three Light Jets at the LHC
• Numerical integration of subtraction terms
• Color ordering in QCD
• Weak Vector Boson Production with Many Jets at the LHC $\sqrt{s}=13$ TeV
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• Extrapolating W-Associated Jet-Production Ratios at the LHC
• $W^{+}{W}^{-}$ + 3 Jet Production at the Large Hadron Collider in NLO QCD
• The chirality-flow formalism
• The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes