Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved strong coupling determinations from hadronic decays of
  electroweak bosons at N$^3$LO accuracy   We present two new extractions of the QCD coupling constant at the Z pole,
$\alpha_S(m_Z)$, from detailed comparisons of inclusive W and Z hadronic decays
data to state-of-the-art perturbative Quantum Chromodynamics calculations at
next-to-next-to-next-to-leading order (N$^{3}$LO) accuracy, incorporating the
latest experimental and theoretical developments. In the W boson case, the
total width computed at N$^{3}$LO is used for the first time in the extraction.
For the Z boson pseudo-observables, the N$^{3}$LO results are complemented with
the full two- and partial three-loop electroweak corrections recently made
available, and the experimental values are updated to account for newly
estimated LEP luminosity biases. A combined reanalysis of the Z boson data
yields $\alpha_S(m_Z) = 0.1203 \pm 0.0028$, with a 2.3\% uncertainty reduced by
about 7\% compared to the previous state-of-the-art. From the combined W boson
data, a value of $\alpha_S(m_Z) = 0.101 \pm 0.027$ is extracted, with still
large experimental uncertainties but also reduced compared to previous works.
The levels of theoretical and parametric precision required in the context of
QCD coupling determinations with permil uncertainties from high-statistics W
and Z boson samples expected at future $e^+e^-$ colliders such as the FCC-ee,
are discussed in detail.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph