Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-planar one-loop Parke-Taylor factors in the CHY approach for
  quadratic propagators   In this work we have studied the Kleiss-Kuijf relations for the recently
introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce
quadratic Feynman propagators. By doing this, we were able to identify the
non-planar one-loop Parke-Taylor factors. In order to check that, in fact,
these new factors can describe non-planar amplitudes, we applied them to the
bi-adjoint $\Phi^3$ theory. As a byproduct, we found a new type of graphs that
we called the non-planar CHY-graphs. These graphs encode all the information
for the subleading order at one-loop, and there is not an equivalent of these
in the Feynman formalism.

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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: acc-phys