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.

Version accepted by PRL

References in corpus (9)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
• Scrutinizing CKM unitarity with a new measurement of the $K_{\mu 3}/K_{\mu 2}$ branching fraction
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Pion-induced radiative corrections to neutron beta-decay
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Parameterization of the statistical rate function for select superallowed transitions
• Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$

Cited by in corpus (7)

• 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
• Critical evaluation of reference charge radii and applications in mirror nuclei
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Opportunities and open questions in modern $\beta$ decay
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size