The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in \( \mathcal{N} = 4 \) SYM

DOI10.1007/JHEP06(2011)100zbMath1298.81168arXiv1104.2787OpenAlexW2142330874WikidataQ59270227 ScholiaQ59270227MaRDI QIDQ466634

Lance J. Dixon, James M. Drummond, Johannes M. Henn

Publication date: 27 October 2014

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

Full work available at URL: https://arxiv.org/abs/1104.2787

zbMATH Keywords

supersymmetric gauge theoryfield theories in higher dimensionsconformal and W symmetry

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Kaluza-Klein and other higher-dimensional theories (83E15) Polylogarithms and relations with (K)-theory (11G55)

Related Items (27)

Iterative structure of finite loop integrals ⋮ The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory ⋮ Tales of 1001 gluons ⋮ Differential equations for multi-loop integrals and two-dimensional kinematics ⋮ Star integrals, convolutions and simplices ⋮ Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals ⋮ Conformal anomaly of generalized form factors and finite loop integrals ⋮ The double pentaladder integral to all orders ⋮ Logarithmic forms and differential equations for Feynman integrals ⋮ One-loop hexagon integral to higher orders in the dimensional regulator ⋮ Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case ⋮ The one-loop one-mass hexagon integral in \(D = 6\) dimensions ⋮ All-mass \(n\)-gon integrals in \(n\) dimensions ⋮ All two-loop MHV remainder functions in multi-Regge kinematics ⋮ Amplitudes from anomalous superconformal symmetry ⋮ Hexagon bootstrap in the double scaling limit ⋮ Bootstrapping the three-loop hexagon ⋮ Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills ⋮ Form factors and scattering amplitudes in \(\mathcal{N} = 4\) SYM in dimensional and massive regularizations ⋮ Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory ⋮ Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills ⋮ Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes ⋮ Mellin amplitudes for dual conformal integrals ⋮ From polygons and symbols to polylogarithmic functions ⋮ Hexagon functions and the three-loop remainder function ⋮ The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes ⋮ A probabilistic angle on one-loop scalar integrals

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