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PreprintarXiv licencearXiv

Parity-violating Møller scattering: complete two-loop corrections

Abstract

The MOLLER experiment will measure the parity-violating asymmetry of Møller scattering to 2.4%. We present its fermionic and bosonic two-loop electroweak corrections to the zeroth and first orders in 1−4sin2θW. Light quarks enter through vacuum polarization from e+e- data or lattice QCD. For sin2θ̂W(MZ) = 0.23122 and an 11 GeV beam, the weak charge of the electron is $0.04546(8)$ (data) or 0.04517(5) (lattice). Two-loop terms contribute 1.5% of it. Uncomputed terms are estimated at 4% of the experimental goal; the data-lattice difference, about 25% of that goal, limits the prediction.

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BibTeX
@misc{czarnecki2026parityviolating,
  title = {{Parity-violating Møller scattering: complete two-loop corrections}},
  author = {Andrzej Czarnecki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.40247},
  eprint = {2610.40247},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40247},
}
RIS
TY  - UNPB
TI  - Parity-violating Møller scattering: complete two-loop corrections
AU  - Andrzej Czarnecki
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.40247
UR  - https://arxiv.org/abs/2610.40247
AB  - The MOLLER experiment will measure the parity-violating asymmetry of Møller scattering to 2.4%. We present its fermionic and bosonic two-loop electroweak corrections to the zeroth and first orders in 1−4sin^2θ_W. Light quarks enter through vacuum polarization from e^+e^- data or lattice QCD. For sin^2θ̂_W(M_Z) = 0.23122 and an 11 GeV beam, the weak charge of the electron is $0.04546(8)$ (data) or 0.04517(5) (lattice). Two-loop terms contribute 1.5% of it. Uncomputed terms are estimated at 4% of the experimental goal; the data-lattice difference, about 25% of that goal, limits the prediction.
ER  -