The system of partial differential equations for the \(C_{0}\) function

DOI10.1016/j.nuclphysb.2019.01.014zbMath1409.81047arXiv1809.00295OpenAlexW2891047594MaRDI QIDQ1731669

Jian-Bin Chen, Hai-Bin Zhang, Chao-Hsi Chang, Tai-Fu Feng

Publication date: 13 March 2019

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

Full work available at URL: https://arxiv.org/abs/1809.00295

Mathematics Subject Classification ID

Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (5)

GKZ hypergeometric systems of the three-loop vacuum Feynman integrals ⋮ \(\epsilon\)-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus ⋮ GKZ-hypergeometric systems for Feynman integrals ⋮ Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials ⋮ Hypergeometric Functions and Feynman Diagrams

Uses Software

• HYPERDIRE

Cites Work

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• Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case
• Analytic tools for Feynman integrals
• A new hypergeometric representation of one-loop scalar integrals in \(d\) dimensions
• Evaluating Feynman integrals by the hypergeometry
• Some exact results for N-point massive Feynman integrals
• Recursive algorithm for evaluating vertex-type Feynman integrals
• Renormalization
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
• Non-planar massless two-loop Feynman diagrams with four on-shell legs

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