Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering equations and BCJ relations for gauge and gravitational
  amplitudes with massive scalar particles   We generalize the scattering equations to include both massless and massive
particles. We construct an expression for the tree-level n-point amplitude with
n-2 gluons or gravitons and a pair of massive scalars in arbitrary spacetime
dimension as a sum over the (n-3)! solutions of the scattering equations, a la
Cachazo, He, and Yuan. We derive the BCJ relations obeyed by these massive
amplitudes.

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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat