Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation

DOI10.1016/J.NUCLPHYSB.2007.01.031zbMath1117.81138arXivhep-th/0702218OpenAlexW2016312133MaRDI QIDQ881370

Ivan Schmidt, Ivan Gonzalez

Publication date: 22 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0702218

zbMATH Keywords

perturbation theoryscalar integralsmultiloop Feynman diagramsnegative dimension methodSchwinger parameters

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (11)

Quadratic and quartic integrals using the method of brackets ⋮ NumExp: numerical epsilon expansion of hypergeometric functions ⋮ Pochhammer symbol with negative indices. A new rule for the method of brackets ⋮ An extension of the method of brackets. Part 1 ⋮ Ramanujan's master theorem ⋮ \texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms ⋮ Ramanujan's master theorem applied to the evaluation of Feynman diagrams ⋮ The moments of the hydrogen atom by the method of brackets ⋮ Integrals of Frullani type and the method of brackets ⋮ Definite integrals by the method of brackets. I ⋮ An extension of the method of brackets. Part 2

Uses Software

• Hypexp

Cites Work

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• Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
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• Evaluating Feynman integrals.
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• Negative-dimensional integration revisited
• General massive one-loop off-shell three-point functions
• NDIM achievements: massive, arbitrary tensor rank andN-loop insertions in Feynman integrals
• Non-planar double-box, massive and massless pentabox Feynman integrals in the negative-dimensional approach
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
• Loop integrals in three outstanding gauges: Feynman, light-cone, and Coulomb

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