Reduction of Feynman Integrals in the Parametric Representation III: Integrals with Cuts
High Energy Physics - Phenomenology
2021-03-29 v2
Abstract
Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce integrals with cuts. Since the IBP method is available, it becomes possible to evaluate integrals with cuts by constructing and solving differential equations.
Keywords
Cite
@article{arxiv.2007.00507,
title = {Reduction of Feynman Integrals in the Parametric Representation III: Integrals with Cuts},
author = {Wen Chen},
journal= {arXiv preprint arXiv:2007.00507},
year = {2021}
}
Comments
6 pages, 1 figure, matches published version