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An improved formalism of the two-neutrino double-beta decay ($2\nu\beta\beta$-decay) rate is presented, which takes into account the dependence of energy denominators on lepton energies via the Taylor expansion. Till now, only the leading…

Nuclear Theory · Physics 2018-04-13 Fedor Šimkovic , Rastislav Dvornický , Dušan Štefánik , Amand Faessler

Radiative corrections are calculated for antineutrino proton quasielastic scattering, neutrino deuteron scattering, and the asymmetry of polarised neutron beta decay from which $G_{A}/G_{V}$ is determined. A particular emphasis is given to…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. Kubota , M. Fukugita

We report an exploratory study of the $\mathcal{O}(\alpha)$ structure-dependent electromagnetic radiative corrections to unique first-forbidden nuclear beta decays. We show that the insertion of angular momentum into the nuclear matrix…

High Energy Physics - Phenomenology · Physics 2025-03-03 Chien-Yeah Seng , Ayala Glick-Magid , Vincenzo Cirigliano

Calculations of the axial-vector component to the radiative correction for superallowed Fermi $0^+ \rightarrow 0^+$ nuclear beta decay are here modified with quenched rather than free-nucleon coupling constants for the axial-vector and…

Nuclear Theory · Physics 2010-11-01 I. S. Towner

Neutrinoless double-beta decay ($0\nu\beta\beta$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on…

High Energy Physics - Lattice · Physics 2025-04-29 Anthony V. Grebe

We derive an analytic expression for the O(alpha) radiative correction to the anti-nu_e (nu_e) spectrum in allowed beta-decay. The m -> 0 limit is convergent and leads to a very simple result (m is the electron mass). This is in sharp…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Sirlin

The evaluation of short range contributions to neutrinoless double beta decay has been challenged due to critics of the ansatz of the nuclear matrix element calculations. We comment on the critics and uncertainties of these calculations and…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. V. Klapdor-Kleingrothaus , H. Päs

The role of $\beta$ decay as a low-energy probe of physics beyond the Standard Model is reviewed. Traditional searches for deviations from the Standard Model structure of the weak interaction in $\beta$ decay are discussed in the light of…

High Energy Physics - Phenomenology · Physics 2015-12-31 K. K. Vos , H. W. Wilschut , R. G. E. Timmermans

The discovery that neutrinos have finite rest mass has led to renewed interest in neutrinoless double beta decay. The development of large-scale experiments to search for neutrinoless double beta decay has increased the probability of a…

Nuclear Experiment · Physics 2015-06-05 S. J. Freeman , J. P. Schiffer

Theoretical estimates for the half life of neutrinoless double beta decay in candidate nuclei are affected by both particle and nuclear physics uncertainties, which may complicate the interpretation of decay signals or limits. We study such…

High Energy Physics - Phenomenology · Physics 2015-11-11 E. Lisi , A. Rotunno , F. Simkovic

Reactor neutrinos play a substantial role in the study of the fundamental properties of neutrinos. With current and upcoming precision experiments, it is essential more than ever to understand the reactor neutrino flux and spectrum.…

Instrumentation and Detectors · Physics 2018-04-03 Bedrich Roskovec

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 propose formulas of the nuclear beta-decay rate that are useful in a practical calculation. The decay rate is determined by the product of the lepton and hadron current densities. A widely used formula relies upon the fact that the…

Nuclear Theory · Physics 2021-04-01 W. Horiuchi , T. Sato , Y. Uesaka , K. Yoshida

The existing calculations of the nuclear matrix elements of the neutrinoless double $\beta$-decay differ by about a factor three. This uncertainty prevents quantitative interpretation of the results of experiments searching for this…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , J. A. Grifols

A neutrino mass matrix is considered under conditions of a CP invariance and a small reactor mixing $\theta_{13}$ angle. Absolute mass values for three neutrinos are evaluated for normal and inverted hierarchy spectra on the ground of data…

High Energy Physics - Phenomenology · Physics 2009-05-20 V. V. Khruschov

Neutrinos are perhaps the most elusive known particles in the universe. We know they have some nonzero mass, but unlike all other particles, the absolute scale remains unknown. In addition, their fundamental nature is uncertain; they can…

Nuclear Theory · Physics 2023-07-31 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

It is well-known that the traditional treatment of radiative corrections that utilizes the "true" neutrino momentum $\vec{p}_\nu$ in the differential decay rate formula could lead to a $\sim \alpha/\pi$ systematic error in certain…

Nuclear Theory · Physics 2024-03-13 Chien-Yeah Seng

Nuclear double beta decay, an extremely rare radioactive decay process, is - in one of its variants - one of the most exciting means of research into particle physics beyond the standard model. The large progress in sensitivity of…

High Energy Physics - Phenomenology · Physics 2016-11-15 Hans V. Klapdor-Kleingrothaus , Irina V. Krivosheina

Precision measurements in nuclear beta decay offer a sensitive window to search for new physics beyond the standard electroweak model and allow also the determination of the fundamental weak vector coupling in processes involving the…

High Energy Physics - Phenomenology · Physics 2013-04-08 Martín González-Alonso , Oscar Naviliat-Cuncic

Despite the dramatic progress made in neutrino oscillation studies recently, several fundamental neutrino parameters remain either unknown or poorly measured. We discuss in detail a method for their measurement by precision studies of…

High Energy Physics - Phenomenology · Physics 2008-11-08 Mikhail Batygov , Stephen Dye , John Learned , Shigenobu Matsuno , Sandip Pakvasa , Gary Varner