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arXiv · 2305.15369

Generalized Cuts of Feynman Integrals in Parameter Space

Ruth Britto
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Abstract

We propose a construction of generalized cuts of Feynman integrals as an operation on the domain of the Feynman parametric integral. A set of on-shell conditions removes the corresponding boundary components of the integration domain, in favor of including a boundary component from the second Symanzik polynomial. Hence integration domains are full-dimensional spaces with finite volumes, rather than being localized around poles. As initial applications, we give new formulations of maximal cuts, and we provide a simple derivation of a certain linear relation among cuts from the inclusion-exclusion principle.

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Ruth Britto. 2023-05-24. Generalized Cuts of Feynman Integrals in Parameter Space. https://doi.org/10.1103/physrevlett.131.091601

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