Constraints from Neutrino Oscillation Experiments on the Effective Majorana Mass in Neutrinoless Double $β$-Decay

Simple item page
dc.creatorBilenky, S. M.
dc.creatorGiunti, C.
dc.creatorGrimus, W.
dc.creatorKayser, B.
dc.creatorPetcov, S. T.
dc.date1999-07-05
dc.date1999-08-30
dc.date.accessioned2026-07-07T12:03:32Z
dc.date.available2026-07-07T12:03:32Z
dc.descriptionWe determine the possible values of the effective Majorana neutrino mass $|< m > |= |\sum_j U_{ej}^2 m_j|$ in the different phenomenologically viable three and four-neutrino scenarios. The quantities $U_{αj}$ ($α= e,μ,τ,...$) denote the elements of the neutrino mixing matrix and the Majorana neutrino masses $m_j$ ($j=1,2,3,...$) are ordered as $m_1 < m_2 < ... $ Assuming $m_1 \ll m_3$ in the three-neutrino case and $m_1 \ll m_4$ in the four-neutrino case, we discuss, in particular, how constraints on $| < m > |$ depend on the mixing angle relevant in solar neutrino oscillations and on the three mass-squared differences obtained from the analyses of the solar, atmospheric and LSND data. If neutrinoless double $β$-decay proceeds via the mechanism involving $|< m >|$, conclusions about neutrinoless double $β$-decay can be drawn. If one of the two viable four-neutrino schemes (Scheme A) is realized in nature, $|< m >|$ can be as large as 1 eV and neutrinoless double $β$-decay could possibly be discovered in the near future. In this case a Majorana CP phase of the mixing matrix $U$ could be determined. In the other four-neutrino scheme (Scheme B) there is an upper bound on $|< m >|$ of the order of $10^{-2}$ eV. In the case of three-neutrino mixing the same is true if the neutrino mass spectrum is hierarchical, however, if there exist two quasi-degenerate neutrinos and the first neutrino has a much smaller mass, values of $|< m >|$ as large as $\sim 0.1$ eV are possible.
dc.description15 pages, REVTEX, 2 figures, final version to be published in Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/hep-ph/9907234
dc.identifierhttp://arxiv.org/abs/hep-ph/9907234
dc.identifierPhys.Lett.B465:193-202,1999
dc.identifierdoi:10.1016/S0370-2693(99)00998-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207815
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConstraints from Neutrino Oscillation Experiments on the Effective Majorana Mass in Neutrinoless Double $β$-Decay
dc.typetext

Files

Collections

arXiv