  We outline the recent results on the two-loop electroweak contributions to
the electron-electron scattering cross sections and asymmetries. Although the
two-loop corrections are strongly suppressed relative to the one-loop
corrections, they still contribute a few percent to the polarization asymmetry,
and even this small contribution cannot be ignored at for ultra-precision
experiments such as MOLLER planned at JLab. The NNLO calculation techniques we
developed for the electron-electron scattering can be adapted for
electron-proton processes, electron-positron collisions, and other low-energy
experiments involving leptons.
