Numerical evaluation of master integrals from differential equations

DOI10.1016/S0920-5632(03)80212-8zbMath1030.81016arXivhep-ph/0211178MaRDI QIDQ1566299

Henryk Czyż, Michele Caffo, Ettore Remiddi

Publication date: 1 June 2003

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

Full work available at URL: https://arxiv.org/abs/hep-ph/0211178

zbMATH Keywords

fourth order Runge-Kutta method2-loop sunrise self-mass diagramcomplexe planeFeynman-graph master integral

Mathematics Subject Classification ID

Nuclear physics (81V35) Feynman diagrams (81T18) Computational methods for problems pertaining to quantum theory (81-08) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Numerical integration (65D30)

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BOKASUN: A fast and precise numerical program to calculate the master integrals of the two-loop sunrise diagrams ⋮ FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS ⋮ TSIL: a program for the calculation of two-loop self-energy integrals

Cites Work

• On the evaluation of sunset-type Feynman diagrams
• The threshold expansion of the 2-loop sunrise self-mass master amplitudes
• An approach toward the numerical evaluation of multi-loop Feynman diagrams