The one-loop pentagon to higher orders in \(\varepsilon \)

DOI10.1007/JHEP01(2010)042zbMath1269.81195arXiv0905.0097WikidataQ60197204 ScholiaQ60197204MaRDI QIDQ359153

Vittorio Del Duca, Claude Duhr, E. W. Nigel Glover, Vladimir A. Smirnov

Publication date: 9 August 2013

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

Full work available at URL: https://arxiv.org/abs/0905.0097

zbMATH Keywords

gauge symmetrysupersymmetric gauge theoryQCD

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Nuclear physics (81V35) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05)

Related Items

NumExp: numerical epsilon expansion of hypergeometric functions, One-loop pentagon integral in \(d\) dimensions from differential equations in \(\epsilon\)-form, One-loop central-emission vertex for two gluons in \(\mathcal{N} = 4\) super Yang-Mills theory, On the evaluation of the Appell \(F_2\) double hypergeometric function, One-loop Lipatov vertex in QCD with higher \(\epsilon\)-accuracy, The one-loop one-mass hexagon integral in \(D = 6\) dimensions, The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM, Derivatives of the Pochhammer and reciprocal Pochhammer symbols and their use in epsilon-expansions of Appell and Kampé de Fériet functions, Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes, From polygons and symbols to polylogarithmic functions, Three-mass triangle integrals and single-valued polylogarithms, Hypergeometric Functions and Feynman Diagrams

Uses Software

• XSummer

Cites Work

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• Comments on gluon scattering amplitudes via AdS/CFT
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Numerical evaluation of multiple polylogarithms
• XSummer -- transcendental functions and symbolic summation in form
• Iterated amplitudes in the high-energy limit
• On planar gluon amplitudes/Wilson loops duality
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• Quantum field theory techniques in graphical enumeration
• Multiple polylogarithms, cyclotomy and modular complexes
• Numerical evaluation of two-dimensional harmonic polylogarithms
• Multi-loop amplitudes and resummation
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• 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
• Recursive algorithm for evaluating vertex-type Feynman integrals
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• HARMONIC POLYLOGARITHMS
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals