Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The colour matrix at next-to-leading-colour accuracy for tree-level
  multi-parton processes   We investigate the next-to-leading-colour (NLC) contributions to the colour
matrix in the fundamental and the colour-flow decompositions for tree-level
processes with all gluons, one quark pair and two quark pairs. By analytical
examination of the colour factors, we find the non-zero elements in the colour
matrix at NLC. At this colour order, together with the symmetry of the
phase-space, it is reduced from factorial to polynomial the scaling of the
contributing dual amplitudes as the number of partons participating in the
scattering process is increased. This opens a path to an accurate tree-level
matrix element generator of which all factorial complexity is removed, without
resulting to Monte Carlo sampling over colour.

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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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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: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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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: stat
1
The categories of this paper are: cs