Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The five-loop beta function of Yang-Mills theory with fermions   We have computed the five-loop corrections to the scale dependence of the
renormalized coupling constant for Quantum Chromodynamics (QCD), its
generalization to non-Abelian gauge theories with a simple compact Lie group,
and for Quantum Electrodynamics (QED). Our analytical result, obtained using
the background field method, infrared rearrangement via a new
diagram-by-diagram implementation of the R* operation and the Forcer program
for massless four-loop propagators, confirms the QCD and QED results obtained
by only one group before. The numerical size of the five-loop corrections is
briefly discussed in the standard MSbar scheme for QCD with n_f flavours and
for pure SU(N) Yang-Mills theory. Their effect in QCD is much smaller than the
four-loop contributions, even at rather low scales.

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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg