Generalized Cuts of Feynman Integrals in Parameter Space
High Energy Physics - Theory
2023-09-27 v2
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.
Keywords
Cite
@article{arxiv.2305.15369,
title = {Generalized Cuts of Feynman Integrals in Parameter Space},
author = {Ruth Britto},
journal= {arXiv preprint arXiv:2305.15369},
year = {2023}
}
Comments
6 pages, 2 figures. v2: Corresponds to published version. Shortened for publication. Fixed typo in eq. (14) of v1