Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hadronic effects in M{\o}ller scattering at NNLO   Two-loop electroweak corrections to polarized Moller scattering are studied
in two different schemes at low energies. We find the finite $Q^2$ corrections
to be well under control. The hadronic and perturbative QCD corrections to the
$\gamma Z$ two-point function are incorporated through the weak mixing angle at
low energies, which introduce an error of $0.08\times10^{-3}$ in the weak
charge of the electron $Q^e_W$. Furthermore, by studying the scheme dependence,
we obtain an estimate of the current perturbative electroweak uncertainty,
$\delta Q^e_W\approx0.23\times10^{-3}$, which is five times smaller than the
precision estimated for the MOLLER experiment $(\delta
Q_W^e=1.1\times10^{-3})$. Future work is possible to reduce the theory error
further.

9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
23
The categories of this paper are: solv-int