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Related papers: Fermi matrix element with isospin breaking

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Pion beta decay, $\pi^+\to \pi^0 e^+\nu(\gamma)$, provides a theoretically clean $\pm 0.3\%$ determination of the CKM matrix element $V_{\text{ud}}$. That value falls short of super-allowed nuclear beta decays where an order of magnitude…

High Energy Physics - Phenomenology · Physics 2020-05-29 Andrzej Czarnecki , William J. Marciano , Alberto Sirlin

The calculated nuclear matrix elements for the neutrinoless double-beta ($0\nu\beta\beta$) decay suffer from several limitations. Predicted matrix-element values depend on the many-body method used to calculate them and, in addition, they…

Nuclear Theory · Physics 2019-01-30 Javier Menéndez

An exactly solvable model for a description of the two-neutrino double beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the two-neutrino double beta decay matrix element on the…

Nuclear Theory · Physics 2015-06-16 Dusan Stefanik , Fedor Simkovic , Kazuo Muto , Amand Faessler

The extra contributions due to an extra generation of vector-like quarks to the isospin symmetry breaking observable associated with the radiative B->K^* \gamma decay is obtained. It is shown that this additional contribution is sensitive…

High Energy Physics - Phenomenology · Physics 2009-11-11 Mohammad R. Ahmady , Farrukh Chishtie

Based on an exact formalism, we study the effects of isospin-symmetry-breaking interactions on superallowed 0+ -> 0+ transitions. We calculate the second-order renormalization of the Fermi matrix element due to radial contributions and show…

Nuclear Theory · Physics 2010-01-07 G. A. Miller , A. Schwenk

We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NME) for $0\nu\beta\beta$ and $2\nu\beta\beta$ decay within the framework of interacting boson model (IBM-2). With this method, we calculate NME…

Nuclear Theory · Physics 2015-06-30 J. Barea , J. Kotila , F. Iachello

After the recent high precision determinations of $V_{us}$ and $V_{ud}$, the first row of the CKM matrix shows more than $4\sigma$ deviation from unitarity. Two possible scenarios beyond the Standard Model can be investigated in order to…

High Energy Physics - Phenomenology · Physics 2020-03-18 Benedetta Belfatto , Revaz Beradze , Zurab Berezhiani

We have studied the influences of isospin symmetry breaking of nucleon-nucleon interaction on the various properties of asymmetrical nuclear matter and $\beta$-stable matter. For asymmetrical nuclear matter, it is found that by including…

Nuclear Theory · Physics 2009-11-10 G. H. Bordbar

Superallowed $0^+\rightarrow 0^+$ transitions between $T=1$ nuclei have been a perfect avenue avenue for determining the Cabibbo-Kobayashi-Maskawa matrix element $V_{ud}$, which imposes powerful constraints on physics beyond the Standard…

Nuclear Theory · Physics 2025-08-22 Chien-Yeah Seng

We present a comprehensive analysis of the $\gamma W$ interference radiative correction to the neutron $\beta$-decay matrix element. Within a dispersion relations approach, we compute the axial-vector part of the $\gamma W$ box amplitude…

High Energy Physics - Phenomenology · Physics 2021-08-25 K. Shiells , P. G. Blunden , W. Melnitchouk

We evaluate the finite 1-loop threshold corrections, proportional to $tan\beta$, to the down quark mass matrix. These result in corrections to down quark masses and to Cabibbo-Kobayashi-Maskawa [CKM] matrix elements. The corrections to CKM…

High Energy Physics - Phenomenology · Physics 2010-11-01 Tomas Blazek , Stuart Raby , Stefan Pokorski

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…

A new critical survey is presented of all half-life, decay-energy and branching-ratio measurements related to 20 superallowed 0+ --> 0+ beta decays. Included are 222 individual measurements of comparable precision obtained from 177…

Nuclear Experiment · Physics 2020-10-07 J. C. Hardy , I. S. Towner

We investigate the radial-overlap part of the isospin-symmetry breaking correction to superallowed $0^+\to 0^+$-decay using the shell-model approach similar to that of Refs. [1, 2]. The 8 sd-shell emitters with masses between $A=22$ and…

Nuclear Theory · Physics 2016-12-26 L. Xayavong , N. A. Smirnova , M. Bender , K. Bennaceur

Precision studies of $0^{+} \rightarrow 0^{+}$ superallowed $\beta$ decays provide the necessary data to test stringently the CVC hypothesis. They will also provide a value for the weak vector coupling constant and the $V_{ud}$ quark mixing…

Nuclear Experiment · Physics 2007-05-23 E. Hagberg , J. C. Hardy , V. T. Koslowsky , G. Savard , I. S. Towner

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

The traditional Fermi function ansatz for nuclear beta decay describes enhanced perturbative effects in the limit of large nuclear charge $Z$ and/or small electron velocity $\beta$. We define and compute the quantum field theory object that…

High Energy Physics - Phenomenology · Physics 2025-08-19 Peter Vander Griend , Zehua Cao , Richard Hill , Ryan Plestid

We revisit the extraction of the $|V_{ud}|$ CKM matrix element from the superallowed transition decay rate of $^{26m}$Al$\rightarrow$$^{26}$Mg, focusing on finite nuclear size effects. The decay rate dependence on the $^{26m}$Al charge…

Nuclear Theory · Physics 2025-10-20 M Gorchtein , V Katyal , B Ohayon , B K Sahoo , CY Seng

Determinations of vuds with super-allowed Fermi beta-decay in nuclei and of the weak charge of the cesium in atomic parity-violation deviate from the Standard Model predicitions by 2 sigma or more. In both cases, the Standard Model…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. J. Ramsey-Musolf

Data on superallowed Fermi beta decay in nuclei are compiled and electromagnetic corrections discussed. Recommended values for the weak vector coupling constant and the leading element of the Cabibbo-Kobayashi-Maskawa mixing matrix are…

Nuclear Theory · Physics 2007-05-23 I. S. Towner , E. Hagberg , J. C. Hardy , V. T. Koslowsky , G. Savard