Neutrino Mixing and CP Violation in Matter

Within the framework of three lepton families I present a transparent analytical relationship between the neutrino mixing and CP-violating parameters in vacuum and thos in matter. Such a model- and parametrization-independent result will be particularly useful to recast the fundamental lepton flavor mixing matrix from the future long-baseline neutrino experiments.Comment: Talk given at the 3rd International Symposium on Symmetries in Subatomic Physics, Adelaide, Australia, March 13 - 17, 2000; to appear in the proceeding

Hierarchical Neutrino Masses and Large Mixing Angles from the Fritzsch Texture of Lepton Mass Matrices

We show that the Fritzsch texture of lepton mass matrices can naturally lead to the bi-large flavor mixing pattern, if three neutrinos have a normal but weak mass hierarchy (typically, $m_1 : m_2 : m_3 \sim 1 : 3 :10$). The effective mass of the tritium beta decay and that of the neutrinoless double beta decay are too small to be observable in this ansatz, but CP violation at the percent level is allowed and could be measured in long-baseline neutrino oscillations.Comment: LaTex 15 pages (5 PS figures). More discussions adde

Low-energy limits on heavy Majorana neutrino masses from the neutrinoless double-beta decay and non-unitary neutrino mixing

In the type-I seesaw mechanism, both the light Majorana neutrinos (\nu_1, \nu_2, \nu_3) and the heavy Majorana neutrinos (N_1, ..., N_n) can mediate the neutrinoless double-beta (0\nu\beta\beta) decay. We point out that the contribution of \nu_i to this 0\nu\beta\beta process is also dependent on the masses M_k and the mixing parameters R_{ek} of N_k as a direct consequence of the exact seesaw relation, and the effective mass term of \nu_i is in most cases dominant over that of N_i. We obtain a new bound |\sum R^2_{ek} M_k| < 0.23 eV (or < 0.85 eV as a more conservative limit) at the 2\sigma level, which is much stronger than |\sum R^2_{ek} M^{-1}_k| < 5 \times 10^{-8} GeV^{-1} used in some literature, from current experimental constraints on the 0\nu\beta\beta decay. Taking the minimal type-I seesaw scenario for example, we illustrate the possibility of determining or constraining two heavy Majorana neutrino masses by using more accurate low-energy data on lepton number violation and non-unitarity of neutrino mixing.Comment: RevTeX 12 pages, 1 PS figure. Accepted for publication in PL