Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays

Abstract

We present a comprehensive re-evaluation of the $ft$ values in superallowed nuclear $\beta$ decays crucial for the precise determination of $V_{ud}$ and low-energy tests of the electroweak Standard Model. It consists of the first, fully data-driven analysis of the nuclear $\beta$ decay form factor, that utilizes isospin relations to connect the nuclear charged weak distribution to the measurable charge distributions. This prescription supersedes previous shell-model estimations, and allows for a rigorous quantification of theory uncertainties in $f$ which is absent in the existing literature. Our new evaluation shows an overall downward shift of the central values of $f$ at the level of 0.01\%.

arXiv commentVersion accepted by PRC

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• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Radiative corrections to superallowed $\beta$ decays in effective field theory
• 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
• Model-independent determination of nuclear charge radii from Li-like ions
• $A_{\beta }[E_{\beta }]$ in ${}^{37}$K decay: new physics with opposite $\beta$ helicity
• Complete one-loop QED corrections to $D_s^{+}$ leptonic decays and impact on the CKM unitarity test