Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

DOI10.1016/j.nuclphysb.2009.05.018zbMath1194.81266arXiv0904.3729OpenAlexW2012448657WikidataQ59869302 ScholiaQ59869302MaRDI QIDQ994615

Oleg V. Tarasov, Bernd A. Kniehl

Publication date: 13 September 2010

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

Full work available at URL: https://arxiv.org/abs/0904.3729

zbMATH Keywords

functional equationsFeynman integralsAppell hypergeometric functionBhabha scattering

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Appell, Horn and Lauricella functions (33C65) Inelastic and multichannel quantum scattering (81U35)

Related Items (6)

On some formulas for the Appell functionF₃(a,a′,b,b′;c;w,z) ⋮ Analytic result for the one-loop scalar pentagon integral with massless propagators ⋮ Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case ⋮ Derivation of functional equations for Feynman integrals from algebraic relations ⋮ Derivatives of any Horn-type hypergeometric functions with respect to their parameters ⋮ Massless on-shell box integral with arbitrary powers of propagators

Cites Work

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• Hypergeometric representation of the two-loop equal mass sunrise diagram
• A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions
• Algebraic reduction of one-loop Feynman graph amplitudes
• IR finite one-loop box scalar integral with massless internal lines
• Connection between Feynman integrals having different values of the space-time dimension
• The scattering of positrons by electrons with exchange on Dirac’s theory of the positron

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