\texttt{AlgRel.wl}: algebraic relations for the product of propagators in Feynman integrals
DOI10.1016/j.nuclphysb.2023.116345arXiv2307.04852OpenAlexW4386414597MaRDI QIDQ6048344
Tanay Pathak, Souvik Bera, B. Ananthanarayan
Publication date: 10 October 2023
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.04852
Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Differential geometric aspects in kinematics (53A17) Classical hypergeometric functions, ({}_2F_1) (33C05) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15) Packaged methods for numerical algorithms (65Y15) Propagation of singularities; initial value problems on manifolds (58J47)
Cites Work
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- Finding new relationships between hypergeometric functions by evaluating Feynman integrals
- Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems
- Definite integrals by the method of brackets. I
- Derivation of functional equations for Feynman integrals from algebraic relations
- Functional reduction of one-loop Feynman integrals with arbitrary masses
- Using functional equations to calculate Feynman integrals
- Feynman integrals as A-hypergeometric functions
- \texttt{FeynGKZ}: a \textit{Mathematica} package for solving Feynman integrals using GKZ hypergeometric systems
- FIESTA5: numerical high-performance Feynman integral evaluation
- Some exact results for N-point massive Feynman integrals
- A massive Feynman integral and some reduction relations for Appell functions
- New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae
- New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
- On the system of partial differential equations associated with Appell's function F4
- Feynman Integrals
- The analytic continuation of the Gaussian hypergeometric function \(_2F_1(a,b;c;z)\) for arbitrary parameters
- Hypergeometric structures in Feynman integrals
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