Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General subtraction method for numerical calculation of one-loop QCD
  matrix elements   We present a subtraction scheme for eliminating the ultraviolet, soft, and
collinear divergences in the numerical calculation of an arbitrary one-loop QCD
amplitude with an arbitrary number of external legs. The subtractions consist
of local counter terms in the space of the four-dimensional loop momentum. The
ultraviolet subtraction terms reproduce MSbar renormalization. The key point in
the method for the soft and collinear subtractions is that, although the
subtraction terms are defined graph-by-graph and the matrix element is also
calculated graph-by-graph, the sum over graphs of the integral of each the
subtraction term can be evaluated analytically and provides the well known
simple pole structure that arises from subtractions from real emission graphs,
but with the opposite sign.

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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
18
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
35
The categories of this paper are: mtrl-th