Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-loop splitting functions in QCD   We present the universal two-loop splitting functions that describe the
limits of two-loop $n$-point amplitudes of massless particles when two of the
momenta are collinear. To derive the splitting amplitudes, we take the
collinear limits of explicit two-loop four-point helicity amplitudes computed
in the 't Hooft-Veltman scheme. The $g \to gg$ splitting amplitude has recently
been computed using the unitarity sewing method and we find complete agreement
with the results of Ref. \cite{Bern:2lsplit}. The two-loop $q \to qg$ and $g
\to q\bar q$ splitting functions are new results. We also provide an expression
for the two-loop soft splitting function.

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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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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: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin