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Related papers: Least-Informative Priors for $0\nu\beta\beta$ Deca…

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We discuss the impact of the cosmological measurements on the predictions of the Majorana mass of the neutrinos, the parameter probed by neutrinoless double-beta decay experiments. Using a minimal set of assumptions, we quantify the…

High Energy Physics - Phenomenology · Physics 2021-03-03 M. Agostini , G. Benato , S. Dell'Oro , S. Pirro , F. Vissani

Bayesian inferences in high energy physics often use uniform prior distributions for parameters about which little or no information is available before data are collected. The resulting posterior distributions are therefore sensitive to…

Applications · Statistics 2011-06-03 Luc Demortier , Supriya Jain , Harrison B. Prosper

Neutrinoless double beta decay can significantly help to shed light on the issue of non-zero neutrino mass, as observation of this lepton number violating process would imply neutrinos are Majorana particles. However, the underlying…

High Energy Physics - Phenomenology · Physics 2018-12-05 Lukas Graf , Frank F. Deppisch , Francesco Iachello , Jenni Kotila

The neutrinoless double-beta decay ($0\nu\beta\beta$) of two neutrons$nn \rightarrow ppee$ is the elementary subprocess of $0\nu\beta\beta$ decay in nuclei. Accurate knowledge of the $nn \rightarrow ppee$ amplitude is required to pin down…

Nuclear Theory · Physics 2025-06-02 Y. L. Yang , P. W. Zhao

Recent neutrino experiment results show a preference for the normal neutrino mass ordering. The global efforts to search for neutrinoless double beta decays undergo a broad gap with the approach to the prediction in the three-neutrino…

High Energy Physics - Phenomenology · Physics 2019-01-30 C. H. Jang , B. J. Kim , Y. J. Ko , K. Siyeon

In this brief review, the importance of the so called neutrinoless double beta decay transition in the search for physics beyond the Standard Model is emphasized. The expectations for the transition rate are examined in the assumption that…

High Energy Physics - Phenomenology · Physics 2018-04-03 Stefano Dell'Oro , Simone Marcocci , Francesco Vissani

In nonlinear regression models the Fisher information depends on the parameters of the model. Consequently, optimal designs maximizing some functional of the information matrix cannot be implemented directly but require some preliminary…

Methodology · Statistics 2013-11-05 Ina Burghaus , Holger Dette

We present a novel mode of neutrinoless double beta decay with emission of a light Majoron-like scalar particle phi. We assume it couples via an effective seven-dimensional operator with a (V+A) lepton current and (V+-A) quark currents…

High Energy Physics - Phenomenology · Physics 2019-05-16 Ricardo Cepedello , Frank F. Deppisch , Lorena González , Chandan Hati , Martin Hirsch

Neutrinoless double-beta decay searches play a major role in determining the nature of neutrinos, the existence of a lepton violating process, and the effective Majorana neutrino mass. The Majorana Collaboration proposes to assemble an…

Nuclear Experiment · Physics 2019-08-13 V. E. Guiseppe

We perform a global Bayesian analysis of currently available neutrino data, putting data from oscillation experiments, neutrinoless double beta decay ($0\nu\beta\beta$), and precision cosmology on an equal footing. We evaluate the discovery…

High Energy Physics - Phenomenology · Physics 2021-08-05 Allen Caldwell , Manuel Ettengruber , Alexander Merle , Oliver Schulz , Maximilian Totzauer

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

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , J. A. Grifols

The interpretation of data in terms of multi-parameter models of new physics, using the Bayesian approach, requires the construction of multi-parameter priors. We propose a construction that uses elements of Bayesian reference analysis. Our…

Data Analysis, Statistics and Probability · Physics 2011-08-03 Maurizio Pierini , Harrison B. Prosper , Sezen Sekmen , Maria Spiropulu

Cosmology is making impressive progress and it is producing stringent bounds on the sum of the neutrino masses {\Sigma}, a parameter of great importance for the current laboratory experiments. In this letter, we exploit the potential…

High Energy Physics - Phenomenology · Physics 2015-12-15 Stefano Dell'Oro , Simone Marcocci , Matteo Viel , Francesco Vissani

A generalisation of the neutrinoless double beta decay process is presented. Neutrinoless double beta decay measures only one out of nine possible effective Majorana neutrino masses in case of three flavours. Limits obtained for all the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Zuber

Cosmological measurements of structure are placing increasingly strong constraints on the sum of the neutrino masses, $\Sigma m_\nu$, through Bayesian inference. Because these constraints depend on the choice for the prior probability…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-01 Andrew J. Long , Marco Raveri , Wayne Hu , Scott Dodelson

The search for neutrinoless double beta decay is a rich source for new physics. The observation of this decay will lead to understanding of the absolute mass scale of neutrinos, the Majorana nature of the neutrino (whether the neutrino is…

Nuclear Experiment · Physics 2013-05-16 Lisa J. Kaufman

We present an extension of the Casas-Ibarra parametrization that applies to all possible Majorana neutrino mass models. This framework allows us to systematically identify minimal models, defined as those with the smallest number of free…

High Energy Physics - Phenomenology · Physics 2025-10-02 Antonio Herrero-Brocal , Avelino Vicente

We propose a two-component mixture of a noninformative (diffuse) and an informative prior distribution, weighted through the data in such a way to prefer the first component if a prior-data conflict arises. The data-driven approach for…

Methodology · Statistics 2017-08-02 Leonardo Egidi , Francesco Pauli , Nicola Torelli

The search for neutrinoless double beta decay has internationally been recognized as the most promising approach to determine the Majorana nature of neutrinos. This hypothesized decay would, if observed, violate lepton number in weak…

Nuclear Experiment · Physics 2025-06-18 Thomas Brunner , Jason D. Holt , David McKeen , Alexander Wright

The motivation for the search for $0\nu\beta\beta$ decay is briefly reviewed. It is stressed that the exchange of light Majorana neutrinos is not the only possible mechanism of the decay. The link between lepton number and lepton flavor…

High Energy Physics - Phenomenology · Physics 2008-07-11 Petr Vogel