Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrands of loop amplitudes within loop-tree duality   Using loop-tree duality, we relate a renormalised $n$-point $l$-loop
amplitude in a quantum field theory to a phase-space integral of a regularised
$l$-fold forward limit of a UV-subtracted $(n+2l)$-point tree-amplitude-like
object. We show that up to three loops the latter object is easily computable
from recurrence relations. This defines an integrand of the loop amplitude with
a global definition of the loop momenta. Field and mass renormalisation are
performed in the on-shell scheme.

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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con