Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model-independent determination of $\overline{m}_s$ from $\tau$-like
  inclusive decays in $e^+e^-$ and implications for the $\chi SB$-parameters   We determine the strange quark running mass of the $\overline{MS}$-scheme by
$simulating$ $\tau$-$like$ inclusive processes for the $old$ Das-Mathur-Okubo
sum rule relating the $e^+e^-$ into $I=0$ and $I=1$ hadrons total
cross-sections data. We obtain to three-loop accuracy: $\overline{m}_s$(1
GeV)=($196.7\pm 29.1$) MeV. By combining this result with the pseudoscalar sum
rule estimate of $(\overline{m}_d +\overline{m}_u)$ and the standard current
algebra values of the light quark mass ratios, we deduce the $average$:
$\overline{m}_d$(1 GeV)=$(10.3\pm 1.5)$ MeV, $\overline{m}_u$(1 GeV)=$(5.0\pm
1.5)$ MeV and $\frac{1}{2}\la \bar uu +\bar dd \ra$ (1 GeV) $ \simeq
-[(228.6\pm 9.1) \mbox{MeV}]^3$. Using also our value of $m_s$, we update the
estimates of the $K'(1.46)$ and $K^*_0(1.43)$ decay constants and of the
(pseudo)scalar two-point correlator subtraction constants. Then, we deduce a
deviation of about 34\% from kaon PCAC and the ratio of the {\it
normal-ordered} condensates: $\la \bar ss \ra /\la \bar uu \ra =
0.68^{+0.15}_{-0.29}$, which confirm previous findings from QCD spectral sum
rules. Finally, using the recent value of the $\overline{m}_b$ from the
$\Upsilon$-sum rules, we deduce the scale independent quark-mass ratio:
$m_b/m_s=34\pm 4$.

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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con