Generalized Cuts of Feynman Integrals in Parameter Space
arXiv:2305.15369 · doi:10.1103/PhysRevLett.131.091601
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.
arXiv comment6 pages, 2 figures. v2: Corresponds to published version. Shortened for publication. Fixed typo in eq. (14) of v1
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