Data-driven reevaluation of $ft$-values in superallowed $β$ decays

Fuente: arXiv
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Main Authors: Seng, Chien-Yeah, Gorchtein, Mikhail
Format: Preprint
Published: 2023
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author Seng, Chien-Yeah
Gorchtein, Mikhail
author_facet Seng, Chien-Yeah
Gorchtein, Mikhail
contents We present a comprehensive re-evaluation of the $ft$ values in superallowed nuclear $β$ 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 $β$ 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\%.
format Preprint
id arxiv_https___arxiv_org_abs_2309_16893
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Data-driven reevaluation of $ft$-values in superallowed $β$ decays
Seng, Chien-Yeah
Gorchtein, Mikhail
Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
We present a comprehensive re-evaluation of the $ft$ values in superallowed nuclear $β$ 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 $β$ 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\%.
title Data-driven reevaluation of $ft$-values in superallowed $β$ decays
topic Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
url https://arxiv.org/abs/2309.16893