Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The loop-tree duality at work   We review the recent developments of the loop-tree duality method, focussing
our discussion on analysing the singular behaviour of the loop integrand of the
dual representation of one-loop integrals and scattering amplitudes. We show
that within the loop-tree duality method there is a partial cancellation of
singularities at the integrand level among the different components of the
corresponding dual representation. The remaining threshold and infrared
singularities are restricted to a finite region of the loop momentum space,
which is of the size of the external momenta and can be mapped to the
phase-space of real corrections to cancel the soft and collinear divergences.

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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci