Non-MHV tree amplitudes in gauge theory

Georgiou, G.; Glover, E.W.N.; Khoze, V.V.

Abstract

We show how all non-MHV tree-level amplitudes in 0 ≤ ≤ 4 gauge theories can be obtained directly from the known MHV amplitudes using the scalar graph approach of Cachazo, Svrcek and Witten. Generic amplitudes are given by sums of inequivalent scalar diagrams with MHV vertices. The novel feature of our method is that after the `Feynman rules' for scalar diagrams are used, together with a particular choice of the reference spinor, no further helicity-spinor algebra is required to convert the results into a numerically usable form. Expressions for all relevant individual diagrams are free of singularities at generic phase space points, and amplitudes are manifestly Lorentz- (and gauge-) invariant. To illustrate the method, we derive expressions for n-point amplitudes with three negative helicities carried by fermions and/or gluons. We also write down a supersymmetric expression based on Nair's supervertex which gives rise to all such amplitudes in 0 ≤ ≤ 4 gauge theories.

Citation

Georgiou, G., Glover, E., & Khoze, V. (2004). Non-MHV tree amplitudes in gauge theory. Journal of High Energy Physics, 2004(07), https://doi.org/10.1088/1126-6708/2004/07/048

• Journal Article Type: Article
• Publication Date: Jul 1, 2004
• Deposit Date: May 8, 2008
• Publicly Available Date: May 8, 2008
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2004
• Issue: 07
• DOI: https://doi.org/10.1088/1126-6708/2004/07/048
• Keywords: Duality in gauge field theories, Supersymmetry, Duality, QCD, NLO computations.
• Public URL: https://durham-repository.worktribe.com/output/1555261