Britto Ruth
Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA and School of Mathematics and Hamilton Mathematics Institute, Trinity College, Dublin 2, Ireland.
Phys Rev Lett. 2023 Sep 1;131(9):091601. doi: 10.1103/PhysRevLett.131.091601.
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.
