Refined determination of the weak mixing angle at low energy

Abstract

The weak mixing angle is a fundamental parameter of the electroweak theory of the standard model whose measurement in the low-energy regime is still not precisely determined. Different probes are sensitive to its value, among which atomic parity violation, coherent elastic neutrino-nucleus scattering and parity-violating electron scattering on different nuclei. In this work, we attempt for the first time to combine all these various determinations by performing a global fit that also keeps into account the unavoidable dependence on the experimentally poorly known neutron distribution radius of the nuclei employed, for which a new measurement using proton-cesium elastic scattering became available. By using all present direct determinations of the neutron distribution radius of cesium we find ${\sin }^2{\vartheta }_W=0.2396_{-0.0019}^{+0.0020}$, which should supersede the previous value determined from atomic parity violation on cesium. When including electroweak only, but also indirect, determinations of the neutron distribution radius of cesium the uncertainty reduces to 0.0017 maintaining the same central value, showing an excellent agreement independently of the method used.

7 pages, 8 figures, 2 tables, 2 appendices. Matches published version

References in corpus (28)

• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Building relativistic mean field models for finite nuclei and neutron stars
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Precision Measurement of the Weak Charge of the Proton
• Constraints on Nuclear Symmetry Energy Parameters
• Measurement of the Coherent Elastic Neutrino-Nucleus Scattering Cross Section on CsI by COHERENT
• Measurement of Coherent Elastic Neutrino-Nucleus Scattering from reactor antineutrinos
• Parity and Time-Reversal Violation in Atomic Systems
• Determination of the neutron skin of ${}^{208}$Pb from ultrarelativistic nuclear collisions
• Physics implications of a combined analysis of COHERENT CsI and LAr data
• Physics results from the first COHERENT observation of CE$\nu$NS in argon and their combination with cesium-iodide data
• Germanium response to sub-keV nuclear recoils: a multipronged experimental characterization
• Impact of the Dresden-II and COHERENT neutrino scattering data on neutrino electromagnetic properties and electroweak physics
• Constraints on the Symmetry Energy from PREX-II in the Multimessenger Era
• Implications of PREX-2 on the electric dipole polarizability of neutron rich nuclei
• Muon and electron g-2 and proton and cesium weak charges implications on dark ${\mathbf{Z}}_{\mathbf{d}}$ models
• New insights into nuclear physics and weak mixing angle using electroweak probes
• New Physics Constraints from Atomic Parity Violation in ${}^{133}$Cs
• Nuclear neutron radius and weak mixing angle measurements from latest COHERENT CsI and atomic parity violation Cs data
• Momentum dependent flavor radiative corrections to the coherent elastic neutrino-nucleus scattering for the neutrino charge-radius determination
• A view of Coherent Elastic Neutrino-Nucleus Scattering
• Systematic trends of neutron skin thickness versus relative neutron excess
• Incorporating the weak mixing angle dependence to reconcile the neutron skin measurement on 208Pb by PREX-II
• On the impact of the Migdal effect in reactor CE$\nu$NS experiments
• Parity-mixed coupled-cluster formalism for computing parity-violating amplitudes
• Constraints on the Nuclear Symmetry Energy from Experiments, Theory and Observations

Cited by in corpus (7)

• Bounds on new neutrino interactions from the first CE$\nu$NS data at direct detection experiments
• Implications of the first CONUS+ measurement of coherent elastic neutrino-nucleus scattering
• Reactor antineutrinos CE$\nu$NS on germanium: CONUS+ and TEXONO as a new gateway to SM and BSM physics
• Probing conventional and new physics at the ESS with coherent elastic neutrino-nucleus scattering
• Joint analysis of reactor and accelerator CE$\nu$NS data on germanium: implications for the Standard Model and nuclear physics
• Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on ${}^{12}\mathrm{C}$
• Measuring the Low-Energy Weak Mixing Angle with Supernova Neutrinos