Model-independent determination of nuclear weak form factors and implications for Standard Model precision tests

Abstract

We analyze the recoil corrections in superallowed beta decays of $T=1$, $J^P=0^{+}$ nuclei by fixing the mean square charge weak radius model-independently using the data of multiple charge radii across the nuclear isotriplet. By comparing to model estimations, we argue that the existing theory uncertainty in the statistical rate function $f$ might have been substantially underestimated. We discuss the implications of our proposed strategy for precision tests of Standard Model, including a potential alleviation of the first-row CKM unitarity deficit, and motivate new experiments for charge radii measurements.

arXiv commentVersion accepted by PRL

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Cited by in corpus (8)

• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Critical evaluation of reference charge radii and applications in mirror nuclei
• Opportunities and open questions in modern $\beta$ decay
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• Leptonic Operators for Cabbibo Angle Anomaly with SMEFT RG Evolution