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Expansion by regions: an overview

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arxiv 2406.11475 v1 pith:5ZQYUMSV submitted 2024-06-17 hep-th hep-ph

Expansion by regions: an overview

classification hep-th hep-ph
keywords expansiongivenregionssimplestrategycertainexamplesfeynman
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A short review of expansion by regions is presented. It is a well-known strategy to obtain an expansion of a given multiloop Feynman integral in a given limit where some kinematic invariants and/or masses have certain scaling measured in powers of a given small parameter. Prescriptions of this strategy are formulated in a simple geometrical language and are illustrated through simple examples.

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    Graphical functions, defined as massless three-point position-space integrals, serve as a powerful tool for evaluating multi-loop Feynman integrals, with extensions to conformal field theory and recent algorithmic com...