Scalar diagrammatic rules for Born amplitudes in QCD

2005/03/31 by Christian Schwinn, Stefan Weinzierl
Physics and Astronomy · #Amplitude #Diagrammatic reasoning #Formalism (music) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #Scalar (mathematics) #Scalar field #Scattering amplitude #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/05/006

published as JHEP0505:006,2005 · 20 pages, references added

arxiv created 2005/04/13 · openalex publication_date 2005/05/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts
• Simplifying algebra in Feynman graphs. I. Spinors
• A Googly Amplitude from the B-model in Twistor Space
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• Next-to-maximal helicity violating amplitudes in gauge theory
• Perturbative Gauge Theory As A String Theory In Twistor Space