Weak charge and weak radius of ${}^{12}$C

Abstract

We present a feasibility study of a simultaneous sub-percent extraction of the weak charge and the weak radius of the ${}^{12}$C nucleus using parity-violating electron scattering, based on a largely model-independent assessment of the uncertainties. The corresponding measurement is considered to be carried out at the future MESA facility in Mainz with $E_{\mathrm{beam}}=155$ MeV. We find that a combination of a $0.3\%$ precise measurement of the parity-violating asymmetry at forward angles with a $10\%$ measurement at backward angles will allow to determine the weak charge and the weak radius of ${}^{12}$C with $0.4\%$ and $0.5\%$ precision, respectively. These values could be improved to $0.3\%$ and $0.2\%$ for a $3\%$ backward measurement. This experimental program will have impact on precision low-energy tests in the electroweak sector and nuclear structure.

arXiv comment7 pages, 5 figures

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• Radiative corrections to semileptonic beta decays: Progress and challenges
• Superallowed nuclear beta decays and precision tests of the Standard Model
• First Determination of the 27Al Neutron Distribution Radius from a Parity-Violating Electron Scattering Measurement
• Beam-normal single-spin asymmetry in elastic scattering of electrons from a spin-0 nucleus
• Neutron Skins: Weak Elastic Scattering and Neutron Stars
• Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on ${}^{12}\mathrm{C}$
• Towards a discovery of BSM physics from the Cabibbo angle anomaly