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PreprintCC BY 4.0arXiv

A consistent neutrino determination of the low-energy weak mixing angle

Abstract

The weak mixing angle, sin2θW, is a fundamental parameter of the Standard Model and a sensitive probe of electroweak physics across various energy scales. At low momentum transfer, the Standard Model prediction approaches a well-defined low-energy plateau, providing a target for precision tests of the electroweak theory. At the lowest momentum transfer, atomic parity violation (APV) in cesium provides one of the most precise determinations of the weak mixing angle. Here, we review and update the status of this determination and compare it with other available probes. We then consistently reanalyze low-energy neutrino scattering data and combine the resulting determinations from coherent elastic scattering (CEνNS) and neutrino-electron scattering. The complementary sensitivity of these processes to electroweak couplings enables a neutrino-based determination of the low-energy weak mixing angle, accounting for electroweak radiative corrections and relevant theoretical uncertainties. Our global analysis yields sin2θWlow(ν data) = 0.233+0.007−0.006. We assess the consistency and relative impact of the individual neutrino measurements and discuss the prospects for future CEνNS and neutrino-electron scattering experiments to improve the precision of this determination. Our analysis provides an independent test of the Standard Model at low momentum transfer, complementary to that provided by atomic parity violation.

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BibTeX
@misc{corona2026consistent,
  title = {{A consistent neutrino determination of the low-energy weak mixing angle}},
  author = {M. Atzori Corona and M. Cadeddu and N. Cargioli and F. Dordei and L. Ferro and C. Giunti and R. Pavarani and M. Sestu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31254},
  eprint = {2610.31254},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31254},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A consistent neutrino determination of the low-energy weak mixing angle
AU  - M. Atzori Corona
AU  - M. Cadeddu
AU  - N. Cargioli
AU  - F. Dordei
AU  - L. Ferro
AU  - C. Giunti
AU  - R. Pavarani
AU  - M. Sestu
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31254
UR  - https://arxiv.org/abs/2610.31254
AB  - The weak mixing angle, sin^2θ_W, is a fundamental parameter of the Standard Model and a sensitive probe of electroweak physics across various energy scales. At low momentum transfer, the Standard Model prediction approaches a well-defined low-energy plateau, providing a target for precision tests of the electroweak theory. At the lowest momentum transfer, atomic parity violation (APV) in cesium provides one of the most precise determinations of the weak mixing angle. Here, we review and update the status of this determination and compare it with other available probes. We then consistently reanalyze low-energy neutrino scattering data and combine the resulting determinations from coherent elastic scattering (CEνNS) and neutrino-electron scattering. The complementary sensitivity of these processes to electroweak couplings enables a neutrino-based determination of the low-energy weak mixing angle, accounting for electroweak radiative corrections and relevant theoretical uncertainties. Our global analysis yields sin^2θ_W^low(ν data) = 0.233^+0.007_−0.006. We assess the consistency and relative impact of the individual neutrino measurements and discuss the prospects for future CEνNS and neutrino-electron scattering experiments to improve the precision of this determination. Our analysis provides an independent test of the Standard Model at low momentum transfer, complementary to that provided by atomic parity violation.
ER  -