Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electromagnetic corrections to the hadronic vacuum polarization of the
  photon within QED$_{\rm L}$ and QED$_{\rm M}$   We compute the leading QED corrections to the hadronic vacuum polarization
(HVP) of the photon, relevant for the determination of leptonic anomalous
magnetic moments, $a_\ell$. We work in the electroquenched approximation and
use dynamical QCD configurations generated by the CLS initiative with two
degenerate flavors of non-perturbatively O($a$)-improved Wilson fermions. We
consider QED$_{\rm L}$ and QED$_{\rm M}$ to deal with the finite-volume zero
modes. We compare results for the Wilson loops with exact analytical
determinations. In addition we make sure that the volumes and photon masses
used in QED$_{\rm M}$ are such that the correct dispersion relation is
reproduced by the energy levels extracted from the charged pions two-point
functions. Finally we compare results for pion masses and the HVP between
QED$_{\rm L}$ and QED$_{\rm M}$. For the vacuum polarization, corrections with
respect to the pure QCD case, at fixed pion masses, turn out to be at the
percent level.

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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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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: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics