Scalar diagrammatic rules for Born amplitudes in QCD

Abstract

We show that all Born amplitudes in QCD can be calculated from scalar propagators and a set of three- and four-valent vertices. In particular, our approach includes amplitudes with any number of quark pairs. The quarks may be massless or massive. The proof of the formalism is given entirely within quantum field theory.

20 pages, references added

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• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
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Cited by in corpus (44)

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• SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
• Helicity amplitudes for QCD with massive quarks
• A comparison of efficient methods for the computation of Born gluon amplitudes
• An Introduction to On-shell Recursion Relations
• A prescription for projectors to compute helicity amplitudes in D dimensions
• One-Loop Helicity Amplitudes for ttbar Production at Hadron Colliders
• The Constructive Standard Model: Part I
• Analytic all-plus-helicity gluon amplitudes in QCD
• $n$-point amplitudes with a single negative-helicity graviton
• Automated computation of spin- and colour-correlated Born matrix elements
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• Augmented Recursion For One-loop Gravity Amplitudes
• On-Shell Electroweak Sector and the Higgs Mechanism
• Classical off-shell currents
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• A unitarity compatible approach to one-loop amplitudes with massive fermions
• Recursion relations for scattering amplitudes with massive particles
• Complex Factorisation and Recursion for One-Loop Amplitudes
• External leg corrections in the unitarity method
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• On-shell recursion for massive fermion currents
• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
• Twistor-inspired construction of massive quark amplitudes
• Massive On-shell Recursion Relations for n-point Amplitudes
• The MHV Lagrangian for a spontaneously broken gauge theory
• The chirality-flow formalism
• The chirality-flow formalism for the standard model
• The $\mathcal{N}=4$ Supergravity NMHV six-point one-loop amplitude
• The dimension-shift conjecture for one-loop amplitudes
• One-Loop Effective Action Approach to Quantum MHV Theory
• Augmented Recursion For One-loop Amplitudes
• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
• Automating scattering amplitudes with chirality flow
• Symmetric reduction of high-multiplicity one-loop integrals and maximal cuts
• Born amplitudes in QCD from scalar diagrams
• Extended Projection Method for Massive Fermion
• A new approach for amplitudes with multiple fermion lines