Some analytic results for two-loop scattering amplitudes View Full Text


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Article Info

DATE

2011-07

AUTHORS

Luis F. Alday

ABSTRACT

We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be expressed as simple combinations of classical polylogarithms. More... »

PAGES

80

References to SciGraph publications

  • 2011-04. An operator product expansion for polygonal null Wilson loops in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11. On BCFW shifts of integrands and integrals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. Twistor-strings, Grassmannians and leading singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. The Grassmannian origin of dual superconformal invariance in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. An analytic result for the two-loop hexagon Wilson loop in SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05. Simple loop integrals and amplitudes in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 4 $\end{document} SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-09. A two-loop octagon Wilson loop in SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-05-27. Two-loop polygon Wilson loops in 𝒩 = 4 SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-01. The all-loop integrand for scattering amplitudes in planar SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-06-18. Gluon scattering amplitudes at strong coupling in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11. Analytic results for MHV Wilson loops in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. The S-matrix in twistor space in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-11-18. Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01. Scattering into the fifth dimension of = 4 super Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-05. The two-loop hexagon Wilson loop in SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep07(2011)080

    DOI

    http://dx.doi.org/10.1007/jhep07(2011)080

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1016810978


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