Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isovector electromagnetic form factors of the nucleon from lattice QCD
  and the proton radius puzzle   We present results for the isovector electromagnetic form factors of the
nucleon computed on the CLS ensembles with $N_f=2+1$ flavors of
$\mathcal{O}(a)$-improved Wilson fermions and an $\mathcal{O}(a)$-improved
vector current. The analysis includes ensembles with four lattice spacings and
pion masses ranging from 130 MeV up to 350 MeV and mainly targets the low-$Q^2$
region. In order to remove any bias from unsuppressed excited-state
contributions, we investigate several source-sink separations between 1.0 fm
and 1.5 fm and apply the summation method as well as explicit two-state fits.
The chiral interpolation is performed by applying covariant chiral perturbation
theory including vector mesons directly to our form factor data, thus avoiding
an auxiliary parametrization of the $Q^2$ dependence. At the physical point, we
obtain $\mu=4.71(11)_{\mathrm{stat}}(13)_{\mathrm{sys}}$ for the nucleon
isovector magnetic moment, in good agreement with the experimental value and
$\langle
r_\mathrm{M}^2\rangle~=~0.661(30)_{\mathrm{stat}}(11)_{\mathrm{sys}}\,~\mathrm{fm}^2$
for the corresponding square-radius, again in good agreement with the value
inferred from the $ep$-scattering determination [Bernauer et~al., Phys. Rev.
Lett., 105, 242001 (2010)] of the proton radius. Our estimate for the isovector
electric charge radius, $\langle r_\mathrm{E}^2\rangle =
0.800(25)_{\mathrm{stat}}(22)_{\mathrm{sys}}\,~\mathrm{fm}^2$, however, is in
slight tension with the larger value inferred from the aforementioned
$ep$-scattering data, while being in agreement with the value derived from the
2018 CODATA average for the proton charge radius.

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: physics