Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD   We present a new lattice QCD analysis of heavy-quark
pseudoscalar-pseudoscalar correlators, using gluon configurations from the MILC
collaboration that include vacuum polarization from $u$, $d$, $s$ and
$c$~quarks($n_f=4$). We extract new values for the QCD coupling and for the $c$
quark's $\overline{\mathrm{MS}}$ mass:
$\alpha_{\overline{\mathrm{MS}}}(M_Z,n_f=5) = 0.11822(74)$ and
$m_c(3\mathrm{GeV}, n_f=4) = 0.9851(63)$GeV. These agree well with our earlier
simulations using $n_f=3$ sea quarks, vindicating the perturbative treatment of
$c$ quarks in that analysis. We also obtain a new nonperturbative result for
the ratio of $c$~and $s$~quark masses: $m_c/m_s=11.652(65)$. This ratio implies
$m_s(2\,\mathrm{GeV}, n_f=3)=93.6(8)$MeV when it is combined with our
new~$c$~mass. Combining $m_c/m_s$ with our earlier $m_b/m_c$ gives
$m_b/m_s=52.55(55)$, which is several standard deviations (but only 4%) away
from the Georgi-Jarlskop prediction from certain GUTs. Finally we obtain an
$n_f=4$ estimate for $m_b/m_c=4.528(54)$ which agrees well with our earlier
$n_f=3$ result. The new ratio implies~$m_b(m_b,n_f=5)=4.162(48)$GeV.

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The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
31
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: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat