Two-Loop Iteration of Five-PointN=4Super-Yang-Mills Amplitudes

2006/04/10 by Z. Bern, Zvi Bern, M. Czakon +6 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevlett.97.181601

published as Phys.Rev.Lett.97:181601,2006 · 4 pages, 3 figures

arxiv created 2006/04/10 · openalex publication_date 2006/11/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of five-point two-loop amplitudes. We compute the required unitarity cuts of the integrand and evaluate the resulting integrals numerically using a Mellin-Barnes representation and the automated package of Czakon [Comput. Phys. Commun. 175, 559 (2006)]. This confirmation of the iteration relation provides further evidence suggesting that N=4 gauge theory is solvable.

Citations

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Automatized analytic continuation of Mellin–Barnes integrals
• One-loop self-dual and N = 4 super Yang-Mills
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Degenerate Systems and Mass Singularities
• Perturbative Gauge Theory As A String Theory In Twistor Space
• The Large N Limit of Superconformal Field Theories and Supergravity

Cited by

• Two-loop polygon Wilson loops in 𝒩 = 4 SYM
• Simplicity of polygon Wilson loops in N = 4 SYM
• Construction of infrared finite observables inN=4super Yang-Mills theory
• Infrared safe observables in N=4 super Yang–Mills theory
• Higher point maximally helicity violating amplitudes inN=4supersymmetric Yang-Mills theory
• On planar gluon amplitudes/Wilson loops duality
• Proof of the dual conformal anomaly of one-loop amplitudes in 𝒩 = 4 SYM
• A surprise in the amplitude/Wilson loop duality