Some analytic results for two-loop scattering amplitudes

DOI10.1007/JHEP07(2011)080zbMath1298.81355arXiv1009.1110OpenAlexW3105246696MaRDI QIDQ467254

Luis F. Alday

Publication date: 3 November 2014

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

Full work available at URL: https://arxiv.org/abs/1009.1110

zbMATH Keywords

AdS-CFT correspondencesupersymmetric gauge theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Quantum field theory on curved space or space-time backgrounds (81T20) (2)-body potential quantum scattering theory (81U05) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Polylogarithms and relations with (K)-theory (11G55)

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Cites Work

• Eliminating spurious poles from gauge-theoretic amplitudes
• Scattering into the fifth dimension of \(\mathcal{N} = 4\) super Yang-Mills
• The S-matrix in twistor space
• An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
• Twistor-strings, Grassmannians and leading singularities
• The Grassmannian origin of dual superconformal invariance
• A simple construction of Grassmannian polylogarithms
• On BCFW shifts of integrands and integrals
• Analytic results for MHV Wilson loops
• Simple loop integrals and amplitudes in \( \mathcal{N} = 4 \) SYM
• Thermodynamic bubble ansatz
• The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM
• An operator product expansion for polygonal null Wilson loops
• The box integrals in momentum-twistor geometry
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM
• 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
• Amplitudes at weak coupling as polytopes in AdS₅
• Y-system for scattering amplitudes