Analytic result for the one-loop scalar pentagon integral with massless propagators

DOI10.1016/j.nuclphysb.2010.03.006zbMath1204.81075arXiv1001.3848OpenAlexW2165878501WikidataQ59869275 ScholiaQ59869275MaRDI QIDQ622711

Oleg V. Tarasov, Bernd A. Kniehl

Publication date: 3 February 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3848

zbMATH Keywords

Feynman integralsAppell hypergeometric functionsmulti-Regge kinematics

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Appell, Horn and Lauricella functions (33C65)

Related Items (11)

NumExp: numerical epsilon expansion of hypergeometric functions ⋮ One-loop pentagon integral in \(d\) dimensions from differential equations in \(\epsilon\)-form ⋮ Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables ⋮ From positive geometries to a coaction on hypergeometric functions ⋮ One-loop central-emission vertex for two gluons in \(\mathcal{N} = 4\) super Yang-Mills theory ⋮ One-loop amplitudes in six-dimensional (1,1) theories from generalised unitarity ⋮ One-loop Lipatov vertex in QCD with higher \(\epsilon\)-accuracy ⋮ The one-loop one-mass hexagon integral in \(D = 6\) dimensions ⋮ Derivatives of any Horn-type hypergeometric functions with respect to their parameters ⋮ Hypergeometric Functions and Feynman Diagrams ⋮ A probabilistic angle on one-loop scalar integrals

Cites Work

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• Hypergeometric representation of the two-loop equal mass sunrise diagram
• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering
• A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions
• Algebraic reduction of one-loop Feynman graph amplitudes
• A new approach to the Taylor expansion of multiloop Feynman diagrams
• Dimensionally-regulated pentagon integrals
• Some exact results for N-point massive Feynman integrals
• One-loop derivation of the Wilson polygon–MHV amplitude duality
• Connection between Feynman integrals having different values of the space-time dimension

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