Hypergeometric Function Theory and Feynman Integrals at the Interface: Some Recent Mathematica Implementations

Hypergeometric function theory and Feynman Integral calculus go hand in hand. A series of recent investigations that culminated in the construction of several Mathematica packages that are based on Mellin-Barnes techniques, Method of Regions, hypergeometric function theory, etc., is reviewed in this talk to encourage the community to explore the use of these packages. Twoloop integrals appearing in chiral perturbation theory are a typical example that will be used for purposes of illustration.

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Published
2025-05-22
DOI
https://doi.org/10.22323/1.479.0044
Primary Topic
Algebraic and Geometric Analysis
Type
article
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article

Hypergeometric Function Theory and Feynman Integrals at the Interface: Some Recent Mathematica Implementations

B. Ananthanarayan
Algebraic and Geometric Analysis
article

Hypergeometric Function Theory and Feynman Integrals at the Interface: Some Recent Mathematica Implementations

B. Ananthanarayan
article en

Abstract

Hypergeometric function theory and Feynman Integral calculus go hand in hand. A series of recent investigations that culminated in the construction of several Mathematica packages that are based on Mellin-Barnes techniques, Method of Regions, hypergeometric function theory, etc., is reviewed in this talk to encourage the community to explore the use of these packages. Twoloop integrals appearing in chiral perturbation theory are a typical example that will be used for purposes of illustration.

Indian Institute of Science Bangalore (IN)
Openalex Percentile: Top 83%
Algebraic and Geometric Analysis
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Hypergeometric Function Theory and Feynman Integrals at the Interface: Some Recent Mathematica Implementations — B. Ananthanarayan · (2025) | TGRS Research Map | TGRS