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Reduction of Feynman Integrals in the Parametric Representation III: Integrals with Cuts

Published 1 Jul 2020 in hep-ph | (2007.00507v2)

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.

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