Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A differential operator for integrating one-loop scattering equations   We propose a differential operator for computing the residues associated with
a class of meromorphic $n$-forms that frequently appear in the Cachazo-He-Yuan
form of the scattering amplitudes. This differential operator is conjectured to
be uniquely determined by the local duality theorem and the intersection number
of the divisors in the $n$-form. We use the operator to evaluate the tree-level
amplitude of $\phi^3$ theory and the one-loop integrand of Yang-Mills theory
from their CHY forms. The method can reduce the complexity of the calculation.
In addition, the expression for the 1-loop four-point Yang-Mills integrand
obtained in our approach has a clear correspondence with the Q-cut results.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ