Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the vanishing of certain cuts or residues of loop integrals with
  higher powers of the propagators   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 renormalised quantities in the on-shell scheme
these residues can be made to vanish already at the integrand level.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph