arXiv · 2504.02447
Measuring the Low-Energy Weak Mixing Angle with Supernova Neutrinos
Abstract
The weak mixing angle $θ_W$ is a fundamental parameter in the electroweak theory with a value running according to the energy scale, and its precision measurement in the low-energy regime is still ongoing. We propose a method to measure the low-energy $\sin{^2θ_W}$ by taking advantage of Argo, a future ton-scale liquid argon dark matter detector, and the neutrino flux from a nearby core-collapse supernova (CCSN). We evaluate the expected precision of this measurement through the coherent elastic neutrino-nucleus scattering (CE$ν$NS) channel. We show that Argo is potentially capable of achieving a few percent determination of $\sin{^2θ_W}$, at the momentum transfer of $q \sim 20$ MeV, in the observation of a CCSN within $\sim 3$ kpc from the Earth. Such a measurement is valuable for both the precision test of the electroweak theory and searching for new physics beyond the standard model in the neutrino sector.
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Chun-Ming Yip, Xu-Run Huang, Ming-chung Chu, Qishan Liu. 2025-11-05. Measuring the Low-Energy Weak Mixing Angle with Supernova Neutrinos. https://doi.org/10.1140/epjc%2Fs10052-025-14936-x
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