Neutrino oscillations and neutrinoless double-beta decay

We consider the scheme with mixing of three neutrinos and a mass hierarchy. We shown that, under the natural assumptions that massive neutrinos are Majorana particles and there are no unlikely fine-tuned cancellations among the contributions of the different neutrino masses, the results of solar neutrino experiments imply a lower bound for the effective Majorana mass in neutrinoless double-beta decay. We also discuss briefly neutrinoless double-beta decay in schemes with mixing of four neutrinos. We show that one of them is favored by the data.Comment: 7 pages. Presented at TAUP'99, 6-10 September 1999, College de France, Paris, Franc

Implications of CHOOZ results for the decoupling of solar and atmospheric neutrino oscillations

We have considered the results of solar and atmospheric neutrino oscillation experiments in the scheme of mixing of three neutrinos with a mass hierarchy. It is shown that the recent results of the CHOOZ experiment imply that |U_{e3}|^2<<1 (U is the neutrino mixing matrix), that the oscillations of solar neutrinos are described by the two-generation formalism and that the oscillations of solar and atmospheric neutrinos decouple. It is also shown that if not only |U_{e3}|^2<<1 but also |U_{e3}|<<1, then the oscillations of atmospheric neutrinos do not depend on matter effects and are described by the two-generation formalism. In this case, with an appropriate identification of the mixing parameters, the two-generation analyses of solar and atmospheric neutrino data provide direct information on the mixing parameters of three neutrinos. We discuss the possibility to get information on |U_{e3}|^2 in long-baseline neutrino oscillation experiments.Comment: 12 pages, no figure

Possible tests for sterile neutrinos

It is shown that the future SNO and Super-Kamiokande experiments, in which high energy $^8\mathrm{B}$ neutrinos will be detected through the observation of CC, NC and $\nu$--$e$ elastic scattering processes, could allow to reveal in a model independent way the presence of sterile neutrinos in the flux of solar neutrinos on the earth.Comment: Latex file, 6 pages including 1 figure. The postscript file of text and figures is available at http://www.to.infn.it/teorici/giunti/papers.html or ftp://ftp.to.infn.it/pub/giunti/1995/dftt-84-95/dftt-84-95.p

Neutrino Mixing and Future Solar Neutrino Experiments

Possibilities of a model independent treatment of the data from future real-time solar neutrino experiments (SNO, Super-Kamiokande and others) are discussed. It is shown that in the general case of transitions of the initial solar $\nu_e$'s into $\nu_\mu$ and/or $\nu_\tau$ the total flux of initial 8B neutrinos and the $\nu_e$ survival probability can be determined directly from the experimental data. Lower bounds for the probability of transition of solar $\nu_e$'s into all possible sterile states are derived and expressed through measurable quantities.Comment: 3 pages. Compressed postscript file. If you prefer the uncompressed postscript file or a hardcopy of the paper, please write to [email protected]. Talk presented by S.M. Bilenky at TAUP93. DFTT 66/9

Four-Neutrino Scenarios

The main features of four-neutrino 3+1 and 2+2 mixing schemes are reviewed, after a discussion on the necessity of at least four massive neutrinos if the solar, atmospheric and LSND anomalies are due to neutrino oscillations. Complete list of references on four-neutrino mixing at http://www.to.infn.it/~giunti/neutrinoComment: 7 pages. Talk presented at NOW 2000, Conca Specchiulla (Otranto, Italy), 9-16 Sep. 200