Neutrinoless $\beta \beta$ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos

Abstract

In the PHFB model, uncertainties in the nuclear transition matrix elements for the neutrinoless double-$\beta$ decay of ${}^{94,96}$Zr, ${}^{98,100}$Mo, ${}^{104}$Ru, ${}^{110}$Pd, ${}^{128,130}$Te and ${}^{150}$Nd isotopes within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos are statistically estimated by considering sets of sixteen (twenty-four) matrix elements calculated with four different parametrization of the pairing plus multipolar type of effective two-body interaction, two sets of form factors and two (three) different parameterizations of Jastrow type of short range correlations. In the mechanisms involving the light Majorana neutrinos and classical Majorons, the maximum uncertainty is about 15% and in the scenario of sterile neutrinos, it varies in between approximately 4 (9)%--20 (36)% without(with) Jastrow short range correlations with Miller-Spencer parametrization, depending on the considered mass of the sterile neutrinos.

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• First Results from the AMoRE-Pilot neutrinoless double beta decay experiment
• Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations
• The $0\nu \beta \beta$-decay nuclear matrix element for light and heavy neutrino mass mechanisms from deformed QRPA cacluations for ${}^{76}$Ge, ${}^{82}$Se, ${}^{130}$Te, ${}^{136}$Xe and ${}^{150}$Nd with isospin restoration
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• New Limit for Neutrinoless Double-Beta Decay of ${}^{100}$Mo from the CUPID-Mo Experiment
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Relativistic description of nuclear matrix elements in neutrinoless double-$\beta$ decay
• Measurement of the 2$\nu \beta \beta$ decay half-life of ${}^{150}$Nd and a search for 0$\nu \beta \beta$ decay processes with the full exposure from the NEMO-3 detector
• Shell model study on the possibility of using an effective field theory for disentangling several contributions to the neutrinoless double-beta decay
• Improved limit on neutrinoless double beta decay of ${}^{100}$Mo from AMoRE-I
• A Statistical Analysis for the Neutrinoless Double-Beta Decay Matrix element of 48Ca
• JUNO and Neutrinoless Double Beta Decay
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• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Search for Majoron-like particles with CUPID-0
• Interference Between Light and Heavy Neutrinos for $0\nu \beta \beta$ Decay in the Left-Right Symmetric Model
• Neutrinoless double beta decay in the minimal type-I seesaw model: How the enhancement or cancellation happens?
• High-precision $Q$-value measurement and nuclear matrix elements for the double-$\beta$ decay of ${}^{98}$Mo
• Preliminary study of feasibility of an experiment looking for excited state double beta transitions in tin
• Radiative and exchange corrections for two-neutrino double-beta decay
• $0\nu \beta \beta$ to the first $2^{+}$ state with two-nucleon mechanism for L-R symmetric model
• Nuclear transition matrix elements for neutrinoless double-$\beta$ decay within mechanisms involving light Majorana neutrino mass and right-handed current