Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Next-to-next-to-leading order QCD analysis of spin-dependent parton
  distribution functions and their uncertainties: Jacobi polynomials approach   We present a first QCD analysis of next-to-next-leading-order (NNLO)
contributions of the spin-dependent parton distribution functions (PPDFs) in
the nucleon and their uncertainties using the Jacobi polynomial approach.
Having the NNLO contributions of the quark-quark and gluon-quark splitting
functions in perturbative QCD (Nucl. Phys. B 889 (2014) 351-400), one can
obtain the evolution of longitudinally polarized parton densities of hadrons up
to NNLO accuracy of QCD. A very large sets of recent and up-to-date
experimental data of spin structure functions of the proton $g_1^p$, neutron
$g_1^n$, and deuteron $g_1^d$ have been used in this analysis. The predictions
for the NNLO calculations of the polarized parton distribution functions as
well as the proton, neutron and deuteron polarized structure functions are
compared with the corresponding results of the NLO approximation. We form a
mutually consistent set of polarized PDFs due to the inclusion of the most
available experimental data including the recently high-precision measurements
from {\tt COMPASS16} experiments (Phys. Lett. B 753 (2016) 18-28). We have
performed a careful estimation of the uncertainties using the most common and
practical method, the Hessian method, for the polarized PDFs originating from
the experimental errors. The proton, neutron and deuteron structure functions
and also their first moments, $\Gamma^{\rm p, n, d}$, are in good agreement
with the experimental data at small and large momentum fraction of $x$. We will
discuss how our knowledge of spin-dependence structure functions can improve at
small and large value of $x$ by the recent {\tt COMPASS16} measurements at
CERN, the {\tt PHENIX} and {\tt STAR} measurements at RHIC, and at the future
proposed colliders such as Electron-Ion collider (EIC).

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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph