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

Journal Article · Fri Nov 03 00:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.97.181601· OSTI ID:20861080

Bern, Z ^[1]; Czakon, M ^[2]; Kosower, D A ^[3]; Roiban, R ^[4]; Smirnov, V A ^[5]

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1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)
2. Institut fuer Theoretische Physik und Astrophysik, Universitaet Wuerzburg, Am Hubland, D-97074 (Germany)
3. Service de Physique Theorique, CEA-Saclay, F-91191 Gif-sur-Yvette cedex (France)
4. Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
5. Nuclear Physics Institute of Moscow State University, Moscow 119992 (Russian Federation)

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.

• OSTI ID: 20861080
• Journal Information: Physical Review Letters, Vol. 97, Issue 18; Other Information: DOI: 10.1103/PhysRevLett.97.181601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
GAUGE INVARIANCE
INTEGRALS
NUMERICAL ANALYSIS
SUPERSYMMETRY
UNITARITY
YANG-MILLS THEORY