Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\alpha_s$ and $\rm V_{cs}$ determination, and CKM unitarity test, from
  W decays at NNLO   The hadronic ($\Gamma^{\rm W}_{\rm had}$) and total ($\Gamma^{\rm W}_{\rm
tot}$) widths of the W boson, computed at least at
next-to-next-to-leading-order (NNLO) accuracy, are combined to derive a new
precise prediction for the hadronic W branching ratio ${\cal B}^{\rm W}_{\rm
had} \equiv \Gamma^{\rm W}_{\rm had}/\Gamma^{\rm W}_{\rm tot}$ = $0.682 \pm
0.011_{\rm par}$, using the experimental Cabibbo-Kobayashi-Maskawa (CKM) matrix
elements, or ${\cal B}^{\rm W}_{\rm had} = 0.6742 \pm 0.0002_{\rm th} \pm
0.0001_{\rm par}$ assuming CKM unitarity, with uncertainties dominated by the
input parameters of the calculations. Comparing the theoretical predictions and
experimental measurements for various W decay observables, the NNLO strong
coupling constant at the Z pole, $\alpha_s(m_Z) = 0.117 \pm 0.042_{\rm exp} \pm
0.004_{\rm th} \pm 0.001_{\rm par}$, as well as the charm-strange CKM element,
$\rm V_{cs}$ = 0.973 $\pm$ 0.004$_{\rm exp}$ $\pm$ 0.002$_{\rm par}$, can be
extracted under different assumptions. We also show that W decays provide today
the most precise test of CKM unitarity for the 5 quarks lighter than $m_{\rm
W}$, $\sum_{ u,c,d,s,b} |V_{ ij}|^2 = 1.999 \pm 0.008_{\rm exp} \pm 0.001_{\rm
th}$. Perspectives for $\alpha_s$ and $\rm V_{cs}$ extractions from W decays
measurements at the LHC and future $e^+e^-$ colliders are presented.

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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs