An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM

DOI10.1007/JHEP03(2010)099zbMath1271.81104arXiv0911.5332OpenAlexW2950487877MaRDI QIDQ364922

Claude Duhr, Vittorio Del Duca, Vladimir A. Smirnov

Publication date: 3 September 2013

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5332

zbMATH Keywords

gauge symmetrysupersymmetric gauge theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25)

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Uses Software

• XSummer
• MBasymptotics
• MBresolve
• FIESTA

Cites Work

• Unnamed Item
• Simplicity of polygon Wilson loops in \(\mathcal{N} = 4\) SYM
• Comments on gluon scattering amplitudes via AdS/CFT
• Thermodynamic bubble ansatz
• \texttt{FIESTA 2}: parallelizeable multiloop numerical calculations
• Feynman integral evaluation by a sector decomposition approach (FIESTA)
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• XSummer -- transcendental functions and symbolic summation in form
• Automatized analytic continuation of Mellin-Barnes integrals
• Iterated amplitudes in the high-energy limit
• On planar gluon amplitudes/Wilson loops duality
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• On the resolution of singularities of multiple Mellin-Barnes integrals
• Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture
• Hexagon Wilson loop = six-gluon MHV amplitude
• Multiple polylogarithms, cyclotomy and modular complexes
• \(\overline{MS}\) vs. pole masses of gauge bosons. II: Two-loop electroweak fermion corrections
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
• MHV amplitudes in \(\mathcal N=4\) super-Yang-Mills and Wilson loops
• Evaluating Feynman integrals.
• Two-Loop Iteration of Five-Point<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Super-Yang-Mills Amplitudes
• HARMONIC POLYLOGARITHMS
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
• Non-planar massless two-loop Feynman diagrams with four on-shell legs