Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and
  estimates of $<\alpha_s G^2>$ and $\alpha_s$   I present a more refined analysis of the mass-splittings between the
different heavy quarkonia states, using {\it new double ratios} of exponential
moments of different two-point functions. Then, I test the validity of the
$1/m$-expansion, extract $\alpha_s(M_Z)=0.127\pm 0.011$ from $M_{\chi_c(P^1_1)}
- M_{\chi_c(P^3_1)}$, and provide a new estimate of the gluon condensate from
$M_\psi -M_{\eta_c}$ and $M_{\chi_b}-M_\Upsilon$, which combined with the
recent estimate from the $\tau$-like decay sum rules in $e^+e^-\rar I=1$
hadrons data, leads to the {\it update average value} $\la\alpha_s G^2\ra =
(7.1\pm 0.9)\times 10^{-2}$ GeV$^4$ from the light and heavy quark systems. I
also find $M_{\Upsilon}-M_{\eta_b}\approx 63^{-29}_{+51}$ MeV implying the
possible observation of the $\eta_b$ in the $\Upsilon$-radiative decay.

30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics