Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The bottom quark mass from the $\Upsilon(1S)$ system at NNNLO   We obtain an improved determination of the normalization constant of the
first infrared renormalon of the pole mass (and the singlet static potential).
For $N_f=3$ it reads $N_m=0.563(26)$. Charm quark effects in the bottom quark
mass determination are carefully investigated. Finally, we determine the bottom
quark mass using the NNNLO perturbative expression for the $\Upsilon(1S)$ mass.
We work in the renormalon subtracted scheme, which allows us to control the
divergence of the perturbation series due to pole mass renormalon. Our result
for the ${\overline {\rm MS}}$ mass reads ${\overline m}_{b}({\overline
m}_{b})=4201(43)$ MeV.

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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an