About higher order \(\varepsilon\)-expansion of some massive two- and three-loop master-integrals

DOI10.1016/j.nuclphysb.2005.04.027zbMath1207.81090arXivhep-ph/0503070OpenAlexW2161056331MaRDI QIDQ875859

Mikhail Yu. Kalmykov

Publication date: 16 April 2007

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

Full work available at URL: https://arxiv.org/abs/hep-ph/0503070

zbMATH Keywords

Feynman diagramsmaster integralshigher order \(\varepsilon\)-expansion

Mathematics Subject Classification ID

Feynman diagrams (81T18)

Related Items

LOG-SINE EVALUATIONS OF MAHLER MEASURES ⋮ A family of polylog-trigonometric integrals ⋮ Three-loop vacuum integrals with arbitrary masses ⋮ Standard and \(\epsilon\)-finite master integrals for the \(\rho\)-parameter ⋮ GKZ hypergeometric systems of the three-loop vacuum Feynman integrals ⋮ Computation and theory of extended Mordell-Tornheim-Witten sums ⋮ Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters ⋮ MULTIPLE ZETA VALUES AND ITERATED LOG-SINE INTEGRALS

Uses Software

• MATAD
• FORM

Cites Work

• Unnamed Item
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• Massive Feynman diagrams and inverse binomial sums
• Automatic reduction of four-loop bubbles
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• Nielsen’s Generalized Polylogarithms
• HARMONIC POLYLOGARITHMS
• A geometrical angle on Feynman integrals
• Single-scale diagrams and multiple binomial sums
• Calculation of master integrals by difference equations
• MATAD: A program package for the computation of MAssive TADpoles
• New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams