Six-point next-to-maximally helicity-violating amplitude in maximally supersymmetric Yang-Mills theory

2010/09/07 by David A. Kosower, D. A. Kosower, R. Roiban +3 · 3 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Feynman diagram #Helicity #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Supersymmetry #hep-th

paper · pdf · doi:10.1103/physrevd.83.065018

published as Phys.Rev.D83:065018,2011 · 58 pages, 8 figures

arxiv created 2010/09/07 · openalex publication_date 2011/03/15 · arxiv updated 2011/03/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present an integral representation for the parity-even part of the two-loop six-point planar next-to-maximally helicity-violating amplitude in terms of Feynman integrals which have simple transformation properties under the dual conformal symmetry. We probe the dual conformal properties of the amplitude numerically, subtracting the known infrared divergences. We find that the subtracted amplitude is invariant under dual conformal transformations, confirming existing conjectures through two-loop order. We also discuss the all-loop structure of the six-point next-to-maximally helicity-violating amplitude and give a parametrization whose dual conformal invariant building blocks have a simple physical interpretation.

Citations

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• Multi-gluon collinear limits from MHV diagrams
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
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• The Large N Limit of Superconformal Field Theories and Supergravity
• The large N limit of superconformal field theories and supergravity

Cited by

• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Basics of generalized unitarity
• Are scattering amplitudes dual to super Wilson loops?