Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radiative corrections to semileptonic beta decays: Progress and
  challenges   We review some recent progress in the theory of electroweak radiative
corrections in semileptonic decay processes. The resurrection of the so-called
Sirlin's representation based on current algebra relations permits a clear
separation between the perturbatively-calculable and incalculable pieces in the
$\mathcal{O}(G_F\alpha)$ radiative corrections. The latter are expressed as
compact hadronic matrix elements that allow systematic non-perturbative
analysis such as dispersion relation and lattice QCD. This brings substantial
improvements to the precision of the electroweak radiative corrections in
semileptonic decays of pion, kaon, free neutron and $J^P=0^+$ nuclei that are
important theory inputs in precision tests of the Standard Model. Unresolved
issues and future prospects are discussed.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
2
The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con