Starting from two-loops, there are Feynman integrals with higher powers of the propagators. They arise from self-energy insertions on internal lines. Within the loop-tree duality approach or within methods based on numerical unitarity one needs (among other things) the residue when a raised propagator goes on shell. We show that for renormalized quantities in the on-shell scheme these residues can be made to vanish already at the integrand level.

• Received 7 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.096023

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Published by the American Physical Society