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For many decades, the main source of information on the top-left corner element of the Cabibbo-Kobayashi-Maskawa quark mixing matrix $V_{ud}$ were superallowed nuclear beta decays with an impressive 0.01\% precision. This precision, apart…

Nuclear Theory · Physics 2024-04-22 Mikhail Gorchtein , Chien Yeah Seng

We compute radiative corrections to the superallowed $\beta$ decay of $^{10}{\rm C}$ in an effective field theory approach using nuclear matrix elements obtained from quantum Monte Carlo calculations. These corrections are an important…

The value of the V_{ud} matrix element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be derived from nuclear superallowed beta decays, neutron decay, and pion beta decay. We survey current world data for all three. Today, the most…

Nuclear Theory · Physics 2008-11-07 I. S. Towner , J. C. Hardy

The Vud element of the Cabibbo-Kobayashi-Maskawa matrix can be determined from several different experimental approaches: either 0+-to-0+ superallowed nuclear beta decays, neutron decay, nuclear mirror decays, or pion beta decay. Currently…

Nuclear Experiment · Physics 2015-09-17 J. C. Hardy , I. S. Towner

The value of the $V_{ud}$ matrix element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be derived from nuclear superallowed beta decays, neutron decay, and pion beta decay. We survey current world data for all three. Today, the most…

Nuclear Theory · Physics 2007-05-23 I. S. Towner , J. C. Hardy

The measured $ft$-values for superallowed $0^{+} \to 0^{+}$ nuclear $\beta$-decay can be used to obtain the value of the vector coupling constant and thus to test the unitarity of the Cabibbo-Kobayashi-Maskawa matrix. An essential…

Nuclear Theory · Physics 2009-11-07 I. S. Towner , J. C. Hardy

Nuclear beta decays between (J^pi,T) = (0^+,1) analog states yield the best value for the Vud element of the Cabibbo-Kobayashi-Maskawa matrix. Current world data establish the corrected Ft values of 14 separate superallowed transitions to a…

Nuclear Experiment · Physics 2018-07-04 J. C. Hardy , I. S. Towner

Radiative corrections are essential for an accurate determination of $V_{ud}$ from superallowed $\beta$ decays. In view of recent progress in the single-nucleon sector, the uncertainty is dominated by the theoretical description of…

Precision beta decay experiments serve as powerful probes of physics beyond the Standard Model, enabling stringent tests of fundamental symmetries of nature. In particular, these experiments primarily focus on precise determinations of the…

Nuclear Theory · Physics 2026-02-03 Grigor H. Sargsyan , Garrett B. King , Ayala Glick-Magid , Chien-Yeah Seng

The Vud element of the Cabibbo-Kobayashi-Maskawa quark mixing matrix has traditionally been determined from the analysis of data in nuclear superallowed 0+ to 0+ transitions, neutron decay and pion beta decay. We show here that this element…

Nuclear Experiment · Physics 2011-07-19 O. Naviliat-Cuncic , N. Severijns

The accuracy of $V_{ud}$ determinations from superallowed $\beta$ decays critically hinges on control over radiative corrections. Recently, substantial progress has been made on the single-nucleon, universal corrections, while…

High Energy Physics - Phenomenology · Physics 2024-11-20 Vincenzo Cirigliano , Wouter Dekens , Jordy de Vries , Stefano Gandolfi , Martin Hoferichter , Emanuele Mereghetti

Superallowed $0^+ \to 0^+$ nuclear beta decay provides a direct measure of the weak vector coupling constant, $\GV$. We survey current world data on the nine accurately determined transitions of this type, which range from the decay of…

Nuclear Theory · Physics 2010-11-23 J. C. Hardy , I. S. Towner

We will describe several pioneering efforts in the study of electromagnetic radiative corrections to semileptonic decay processes, with particular emphasis on the role of lattice QCD. These studies are essential for the precise extraction…

High Energy Physics - Lattice · Physics 2021-04-07 Chien-Yeah Seng

We lay out a novel formalism to connect the isospin-symmetry breaking correction to the rates of superallowed nuclear beta decays, $\delta_\text{C}$, to the isospin-breaking sensitive combinations of electroweak nuclear radii that can be…

Nuclear Theory · Physics 2023-01-13 Chien-Yeah Seng , Mikhail Gorchtein

We present the first combined analysis of the statistical rate function f in superallowed beta decays with ab initio calculations and data. We focus on C10 to 10B, 14O to 14N and 26mAl to 26Mg, all of which are important channels for the…

Nuclear Theory · Physics 2026-05-15 Bingcheng He , Mikhail Gorchtein , Matthias Heinz , Ben Ohayon , Lucas Platter , Chien-Yeah Seng

We report the first \textit{ab initio} calculation of the nuclear-structure-dependent radiative correction $ \delta_{ \mathrm{NS} } $ to the $ {}^{10}\mathrm{C} \rightarrow {}^{10}\mathrm{B} $ superallowed transition, computed with the…

Nuclear Theory · Physics 2025-10-21 Michael Gennari , Mehdi Drissi , Mikhail Gorchtein , Petr Navratil , Chien-Yeah Seng

Recently, we have applied for the first time the angular momentum and isospin projected nuclear density functional theory to calculate the isospin-symmetry breaking (ISB) corrections to the superallowed beta-decay. With the calculated set…

Nuclear Theory · Physics 2012-11-20 M. Rafalski , W. Satula

We describe two recent developments of the radiative correction theory in semileptonic beta decays. For neutron, a novel dispersive analysis of the $\gamma W$-box diagram making use of neutrino scattering data leads to an improved precision…

High Energy Physics - Phenomenology · Physics 2022-04-15 Chien-Yeah Seng

We analyze the universal radiative correction $\Delta_R^V$ to neutron and superallowed nuclear $\beta$ decay by expressing the hadronic $\gamma W$-box contribution in terms of a dispersion relation, which we identify as an integral over the…

High Energy Physics - Phenomenology · Physics 2018-12-19 Chien-Yeah Seng , Mikhail Gorchtein , Hiren H. Patel , Michael J. Ramsey-Musolf

Superallowed $0^+ \to 0^+$ nuclear beta decay provides a direct measure of the weak vector coupling constant, $\GV$. We survey current world data on the nine accurately determined transitions of this type, which range from the decay of…

Nuclear Theory · Physics 2009-10-31 J. C. Hardy , I. S. Towner
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