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A bstract Two-loop electroweak corrections to polarized Møller 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 γZ two-point function are incorporated through the weak mixing angle at low energies, which introduce an error of 0 . 08 × 10 − 3 in the weak charge of the electron $$ {Q}_W^e $$ Q W e . Furthermore, by studying the scheme dependence, we obtain an estimate of the current perturbative electroweak uncertainty, $$ \delta {Q}_W^e $$ δ Q W e ≈ 0 . 23 × 10 − 3 , which is five times smaller than the precision estimated for the MOLLER experiment ( $$ \delta {Q}_W^e $$ δ Q W e = 1 . 1 × 10 − 3 ). Future work is possible to reduce the theory error further.more » « less
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