Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemann $\zeta(4)$ function contributions to
  $O\left({\alpha_s}^5\right)$ terms of Adler D-function and Bjorken polarized
  sum rule in $SU\left(N_c\right)$ QCD: results and consequences   Two renormalization group invariant quantities in quantum chromodinamics
(QCD), defined in Euclidean space,namely, Adler D-function of electron-positron
annihilation to hadrons and Bjorken polarized deep-inelastic scattering sum
rule, are considered. It is shown, that the 5-th order corrections to them in
$\overline{MS}$-like renormalization prescriptions, proportional to Riemann
$\zeta$-function $\zeta\left(4\right)$, can be restored by the transition to
the C-scheme, with the $\beta$-function, analogous to Novikov, Shifman,
Vainshtein and Zakharov exact $\beta$-function in $\mathcal{N}=1$
supersymmetric gauge theories. The general analytical expression for these
corrections in $SU\left(N_c\right)$ QCD is deduced and their scale invariance
is shown. The $\beta$-expansion procedure for these contributions is performed
and mutual cancellation of them in the 5-th order of the generalized Crewther
identity are discussed.

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The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin