Regular Article – Theoretical Physics
Reduction of Feynman integrals in the parametric representation III: integrals with cuts
Department of Physics, University of Alberta, T6G 2E1, Edmonton, AB, Canada
Accepted: 13 December 2020
Published online: 21 December 2020
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.
© The Author(s) 2020
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