Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Determination of Nonleptonic Kaon Decays from $K\to\pi$ Matrix
  Elements   The coupling constants of the order $p^2$ low-energy weak effective
lagrangian can be determined from the $K\to\pi$ and $K\to 0$ weak matrix
elements, choosing degenerate quark masses for the first of these. However, for
typical values of quark masses in Lattice QCD computations, next-to-leading
$O(p^4)$ corrections are too large to be ignored, and will need to be included
in future analyses. Here we provide the complete $O(p^4)$ expressions for these
matrix elements obtained from Chiral Perturbation Theory, valid for partially
quenched QCD with $N$ degenerate sea quarks. Quenched QCD corresponds to the
special case N=0. We also discuss the role of the $\eta'$ meson in some detail,
and we give numerical examples of the size of chiral logarithms.

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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys