The weak mixing angle provides a sensitive test of the Standard Model. We study SBND's sensitivity to the weak mixing angle using neutrino-electron scattering events. We perform a detailed simulation, paying particular attention to background rejection and estimating the detector response. We find that SBND can provide a reasonable constraint on the weak mixing angle, achieving 8% precision for 1021 protons on target, assuming an overall flux normalization uncertainty of 10%. This result is superior to those of current neutrino experiments and is relatively competitive with other low-energy measurements.
@article{arxiv.2409.07430,
title = {Measuring the weak mixing angle at SBND},
author = {Gustavo F. S. Alves and Antonio P. Ferreira and Shirley Weishi Li and Pedro A. N. Machado and Yuber F. Perez-Gonzalez},
journal= {arXiv preprint arXiv:2409.07430},
year = {2024}
}