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We report on the calculation of the neutrinoless double-beta decay nuclear matrix element for 76Ge within the framework of the realistic shell model. The effective shell-model Hamiltonian and the two-body transition operator describing the…

Nuclear Theory · Physics 2020-01-08 Nunzio Itaco , Luigi Coraggio , Riccardo Mancino

A precision determination of the neutral-pion width would improve determinations of the splitting between the up- and down-quark masses, and matrix elements for the decay of neutral mesons into two photons could play a role in the attempt…

High Energy Physics - Lattice · Physics 2013-02-06 Huey-Wen Lin , Saul D. Cohen

Exclusive rare decays mediated by $b\to s\ell\ell$ transitions receive contributions from four-quark operators that cannot be naively expressed in terms of local form factors. Instead, one needs to calculate a matrix element of a bilocal…

High Energy Physics - Phenomenology · Physics 2020-04-07 Hrachia M. Asatrian , Christoph Greub , Javier Virto

The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) are evaluated for $^{76}$Ge,$^{100}$Mo, $^{130}$Te, and $^{136}$Xe within the Renormalized Quasiparticle Random Phase Approximation (RQRPA) and…

Nuclear Theory · Physics 2011-05-05 V. A. Rodin , Amand Faessler , F. Šimkovic , Petr Vogel

We report a direct measurement of the Q-value of the neutrinoless double-beta-decay candidate 48Ca at the TITAN Penning-trap mass spectrometer, with the result that Q = 4267.98(32) keV. We measured the masses of both the mother and daughter…

Study of the neutrinoless $\beta\beta$ decay allows us to put a stringent limit on the effective neutrino Majorana mass, a quantity of fundamental importance. To test our ability to evaluate the nuclear matrix elements that govern the decay…

Nuclear Theory · Physics 2007-05-23 Petr Vogel

We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the…

High Energy Physics - Lattice · Physics 2021-04-26 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

The methods used till now to calculate the neutrinoless double beta decay matrix elements are: the Quasiparticle Random Phase Approximation (QRPA), the Shell Model (SM), the angular momentum projected Hartee-Fock-Bogoliubov approach (HFB)…

Nuclear Theory · Physics 2010-12-01 Alberto Escuderos , Amand Faessler , Vadim Rodin , Fedor Simkovic

The $\nu_M{\rm SM}$ is defined as the SM extended to include dimension-5 operators. In this model neutrino masses violate lepton number, and two parameters of the lepton mixing matrix, the Majorana phases, are yet to be constrained. One…

High Energy Physics - Phenomenology · Physics 2024-10-16 Avital Dery , Stefania Gori , Yuval Grossman , Zoltan Ligeti

Hadronic form factors for the rare weak transitions $\Lambda_{b}\rightarrow\Lambda^{(*)}$ are calculated using a nonrelativistic quark model. The form factors are extracted in two ways. An analytic extraction using single component wave…

Nuclear Theory · Physics 2015-05-30 Lonnie Mott , Winston Roberts

We derive the three-nucleon neutrinoless double beta decay potential in $\Delta$-full chiral effective field theory through next-to-next-to-next-to leading order in Weinberg's power counting. The matrix elements of the resulting operators…

The framework under which decays $\Lambda_{b}(\frac{1}{2}^{+})\rightarrow B(\frac{1}{2}^{+})+M$ are analyzed is not applicable for the decays $\Lambda_{b}(\frac{1}{2}^{+})\rightarrow B^{\ast}(\frac{3}{2} ^{+})+M$. These decays occur through…

High Energy Physics - Phenomenology · Physics 2017-04-24 Fayyazuddin

We introduce a new parameterization of four-fermion matrix elements which does not involve quark masses and thus allows a reduction of systematic uncertainties in physical amplitudes. As a result the apparent quadratic dependence of e'/e on…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Giusti

The zero neutrino mode of the double beta decay in heavy deformed nuclei is investigated in the framework of the pseudo SU(3) model, which has provided an accurate description of collective nuclear structure and predicted half-lives for the…

Nuclear Theory · Physics 2009-10-28 Jorge G. Hirsch , O. Castaños , P. O. Hess

We study nonperturbative corrections to the inclusive rare decay B -> X_s l^+ l^- by performing an operator product expansion (OPE) to O(1/m_b^3). The values of the matrix elements entering at this order are unknown and introduce…

High Energy Physics - Phenomenology · Physics 2011-03-23 Christian W. Bauer , Craig N. Burrell

Semileptonic decays of heavy baryons consisting of one heavy (Q=b,c) and two light (q=u,d,s) quarks are considered in the heavy-quark--light-diquark approximation. The relativistic quasipotential equation is used for obtaining masses and…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Ebert , R. N. Faustov , V. O. Galkin

Most uncertainties regarding the theoretical study of the neutrinoless double-beta decay are related to the accuracy of the nuclear matrix elements that appear in the expressions of the lifetimes. We calculate the nuclear matrix elements…

Nuclear Theory · Physics 2015-06-23 Andrei Neacsu , Mihai Horoi

A general Lorentz--invariant parameterization for the long-range part of the $0\nu\beta\beta$ decay rate is derived. Combined with the short range part this general parameterization in terms of effective $B-L$ violating couplings will allow…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Päs , M. Hirsch , H. V. Klapdor-Kleingrothaus , S. G. Kovalenko

The two neutrino and neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\to 0^{+}$ transition is studied within the PHFB framework along with an…

Nuclear Theory · Physics 2009-08-03 R. Chandra , K. Chaturvedi , P. K. Rath , P. K. Raina , J. G. Hirsch

We calculate nuclear matrix elements (NME) of neutrinoless double beta decay in four different candidate nuclei (Ge-76, Se-82, Mo-100, Te-130) within the quasiparticle random phase approximation (QRPA) and its uncertainties. We assume (up…

High Energy Physics - Phenomenology · Physics 2011-08-25 Amand Faessler , G. L. Fogli , E. Lisi , A. M. Rotunno , F. Simkovic