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Recently the evidence of the neutrinoless double $\beta$ ($0\nu \beta\beta$) decay has been announced. This means that neutrinos are Majorana particles and their mass hierarchy is forced to certain patterns in the diagonal basis of charged…

High Energy Physics - Phenomenology · Physics 2016-12-21 Naoyuki Haba , Tomoharu Suzuki

A precise measurement of the neutron decay $\beta$-asymmetry $A_0$ has been carried out using polarized ultracold neutrons (UCN) from the pulsed spallation UCN source at the Los Alamos Neutron Science Center (LANSCE). Combining data…

As experimental searches for neutrinoless double-beta ($0\nu\beta\beta$) decay are entering a new generation, with hopes to completely probe the inverted mass hierarchy, the need for reliable nuclear matrix elements, which govern the rate…

Nuclear Theory · Physics 2025-05-08 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

Measurements by various international groups of researchers determine the strength of the weak interaction of the neutron, which gives us unique information on the question of the quark mixing. Neutron decay experiments now challenge the…

High Energy Physics - Experiment · Physics 2010-11-23 Hartmut Abele

A brief summary of the status of neutrino masses, mixing and oscillations is presented. Neutrinoless double $\beta$-decay is considered. Predictions for the effective Majorana mass are reviewed. A possible test of the calculations of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky

The current analysis of the Cabibbo-Kobayashi-Maskawa(CKM) quark mixing matrix uses the standard parametrisation by 3 mixing angles and the CP-violating KM phase. However it would be more convenient to express these mixing angle parameters…

High Energy Physics - Phenomenology · Physics 2011-12-08 T. N. Pham

The neutrinoless double $\beta$-decay is reviewed. Model independent evidence in favor of neutrino masses and mixing is briefly summarized. The data of the recent experiments on the search for $0\nu\beta\beta$-decay are presented and some…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

A review of the current status of the Cabibbo-Kobayashi-Maskawa matrix V_CKM is presented. This paper contains an update of the results published in hep-ph/9711261. Values of the parameters entering into the constraints, which restrict the…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Parodi , P. Roudeau , A. Stocchi

Recently the evidence of the neutrinoless double $\beta$ ($0\nu \beta\beta$) decay has been announced. This means that neutrinos are Majorana particles and their mass hierarchy is forced to inverted mass hierarchy (Type B) or degenerate…

High Energy Physics - Phenomenology · Physics 2007-05-23 Naoyuki Haba , Noboru Nakamura , Tomoharu Suzuki

The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) of most nuclei with known $2\nu\beta\beta$-decay rates are systematically evaluated using the Quasiparticle Random Phase Approximation (QRPA)…

Nuclear Theory · Physics 2007-05-23 V. A. Rodin , Amand Faessler , F. Šimkovic , Petr Vogel

The theory of $CP$ violation based on phases in weak couplings in the Cabibbo-Kobayashi-Maskawa (CKM) matrix requires the phase $\gamma \equiv {\rm Arg~} V^*_{ub}$ (in a standard convention) to be nonzero. A measurement of $\gamma$ is…

High Energy Physics - Phenomenology · Physics 2009-09-25 Michael Gronau , Jonathan L. Rosner , David London

Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the $\beta$-decay of a neutron, including possible in-medium and isospin…

Nuclear Theory · Physics 2011-02-16 P. A. M. Guichon , A. W. Thomas , K. Saito

For well over half a century, precision studies of neutron and nuclear $\beta$ decays have been at the forefront of searches for exotic electroweak physics. Recent advances in nuclear ab initio theory and the widespread use of effective…

Nuclear Theory · Physics 2025-01-28 Leendert Hayen

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

We review the highlights of quark mixing, particle-antiparticle mixing, CP violation and rare K- and B-decays in the Standard Model. The top quark discovery, the precise measurement of its mass, the improved knowledge of the couplings…

High Energy Physics - Phenomenology · Physics 2016-11-03 Andrzej J. Buras , Robert Fleischer

Neutrinoless Double Beta Decay ($0\nu\beta\beta$) is presently the only known experiment to distinguisch between Dirac neutrinos, different from their antiparticles, and Majorana neutrinos, identical with their antiparticles. In addition…

Nuclear Theory · Physics 2015-05-27 Amand Faessler

Measurements of $\beta$-spectral shapes is an important way to examine the effective value of the weak axial coupling $g_{\rm A}$. These stu\ dies focus specifically on forbidden non-unique $\beta^-$ transitions, as only in these cases is…

Nuclear Experiment · Physics 2025-06-24 J. W. Song , M. Ramalho , M. K. Lee , G. B. Kim , I. Kim , H. L. Kim , Y. C. Lee , K. R. Woo , J. Kotila , J. Kostensalo , J. Suhonen , H. J. Kim

The current status of some methods to determine the weak phase $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $V^*_{ub}$ using B decays is discussed, and comments are made on accuracy achievable in the next few years.

High Energy Physics - Phenomenology · Physics 2014-11-17 Jonathan L. Rosner

The precision of double-beta ($\beta\beta$) decay experimental half-lives and their uncertainties is reevaluated. A complementary analysis of the decay uncertainties indicates deficiencies due to small size of statistical samples, and…

Nuclear Experiment · Physics 2015-05-22 B. Pritychenko

Measurements of neutron beta decay observables required to determine $|V_{ud}|$ are reaching the 0.1% accuracy. In this paper we review the calculation of the decay rate of this process, discuss its relevant uncertainties, and obtain an…

Nuclear Theory · Physics 2009-05-11 A. Garcia , J. L. Garcia-Luna , G. Lopez Castro
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