Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determination of the up/down-quark mass within QCD sum rules in the
  scalar channel   In this work, we determine up/down-quark mass $m_{q=u/d}$ in the isoscalar
scalar channel from both the Shifman-Vainshtein-Zakharov (SVZ) and the
Monte-Carlo-based QCD sum rules. The relevant spectral function, including the
contributions from the $f_0(500)$, $f_0(980)$ and $f_0(1370)$ resonances, is
determined from a sophisticated $U(3)$ chiral study. Via the traditional SVZ
QCD sum rules, we give the prediction to the average light-quark mass $m_q(2 \,
\text{GeV})=\frac{1}{2}(m_u(2 \, \text{GeV}) + m_d(2 \,
\text{GeV}))=(3.46^{+0.16}_{-0.22} \pm 0.33) \, \text{MeV}$. Meanwhile, by
considering the uncertainties of the input QCD parameters and the spectral
functions of the isoscalar scalar channel, we obtain $m_q (2\, \text{GeV}) =
(3.44 \pm 0.14 \pm 0.32) \, \text{MeV}$ from the Monte-Carlo-based QCD sum
rules. Both results are perfectly consistent with each other, and nicely agree
with the Particle Data Group value within the uncertainties.

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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat