Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector Leptoquarks Beyond Tree Level II: $\mathcal{O}(\alpha_s)$
  Corrections and Radial Modes   We clarify open issues in relating low- and high-energy observables, at
next-to-leading order accuracy, in models with a massive leptoquark embedded in
a flavor non-universal $SU(4) \times SU(3) \times SU(2) \times U(1)$ gauge
group. Extending previous work on this subject, we present a complete analysis
of the $\mathcal{O}(\alpha_s)$ corrections to the matching conditions of
semileptonic operators at the high scale. These corrections are not negligible,
but they do not exceed the 10% level and are subleading compared to the
$\mathcal{O}(\alpha_4)$ corrections proportional to the leading leptoquark
coupling, which is expected to be much larger than the QCD coupling in the
parameter space region of phenomenological interest. We further analyze the
impact of radial modes, both at $\mathcal{O}(\alpha_4)$ and at
$\mathcal{O}(\alpha_s)$ accuracy, highlighting their role in the
renormalization of the theory.

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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: math
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol