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PreprintCC BY 4.0arXiv

Bosonic Contribution to Parity-Violating Møller Scattering at NNLO

  • Lisong Chen
  • Jens Erler
  • Ayres Freitas
  • Juhun Kwak
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Abstract

We calculate the dominant bosonic two-loop virtual electroweak corrections to parity-violating Møller scattering at low energies. The electron effective weak charge is extracted from the polarization asymmetry, retaining all contributions that are enhanced by (1−4sin2θW)−1 or ln2(MW,Z2/Q2) relative to the tree-level contribution. Analytical results are obtained using the expansion by regions method in the low-energy limit Q2≪ MW,Z2. Within this approximation, the dominant two-loop bosonic corrections shift the electron effective weak charge (or equivalently the polarization asymmetry) by 0.3%. We examine the origin of the leading contributions to this result and assess the remaining theoretical uncertainty from purely bosonic contributions for the MOLLER experiment to about 0.1%.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026bosonic,
  title = {{Bosonic Contribution to Parity-Violating Møller Scattering at NNLO}},
  author = {Lisong Chen and Jens Erler and Ayres Freitas and Juhun Kwak},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12287},
  eprint = {2610.12287},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12287},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bosonic Contribution to Parity-Violating Møller Scattering at NNLO
AU  - Lisong Chen
AU  - Jens Erler
AU  - Ayres Freitas
AU  - Juhun Kwak
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12287
UR  - https://arxiv.org/abs/2610.12287
AB  - We calculate the dominant bosonic two-loop virtual electroweak corrections to parity-violating Møller scattering at low energies. The electron effective weak charge is extracted from the polarization asymmetry, retaining all contributions that are enhanced by (1−4sin^2θ_W)^−1 or ln^2(M_W,Z^2/Q^2) relative to the tree-level contribution. Analytical results are obtained using the expansion by regions method in the low-energy limit Q^2≪ M_W,Z^2. Within this approximation, the dominant two-loop bosonic corrections shift the electron effective weak charge (or equivalently the polarization asymmetry) by 0.3%. We examine the origin of the leading contributions to this result and assess the remaining theoretical uncertainty from purely bosonic contributions for the MOLLER experiment to about 0.1%.
ER  -