ALGEBRAIC-NUMERICAL METHODS FOR EVALUATING MULTI-LEG AND MULTI-LOOP FEYNMAN DIAGRAMS

DOI10.1142/S0217732303012490zbMath1079.81554MaRDI QIDQ5702177

Sandro Uccirati

Publication date: 31 October 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

Feynman diagramsnumerical evaluationmulti-loopmulti-leg

Mathematics Subject Classification ID

Feynman diagrams (81T18) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Computational methods for problems pertaining to quantum theory (81-08)

Cites Work

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• Reduction of one-loop tensor form factors to scalar integrals: a general scheme
• Algebraic reduction of one-loop Feynman graph amplitudes
• All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams
• Dimensionally-regulated pentagon integrals
• On analytic properties of vertex parts in quantum field theory
• Connection between Feynman integrals having different values of the space-time dimension
• An automatized algorithm to compute infrared divergent multi-loop integrals.
• An approach toward the numerical evaluation of multi-loop Feynman diagrams
• Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies

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