Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-01-02
Acta Phys.Polon. B33 (2002) 1735-1746
Physics
High Energy Physics
High Energy Physics - Phenomenology
Added a section on fine-tuning problems and symmetry arguments, abstract, conclusions modified. To appear in Acta Phys. Pol. B
Scientific paper
The issue of existence of Majorana neutrinos with masses of the order of TeV and substantial couplings is addressed. A general neutrino mass matrix $M_{\nu}$ with both features is constructed, however, the form of $M_{\nu}$ is constrained very much by severe relations among the elements of $m_D$ and $M_R$ submatrices of $M_{\nu}$. These general relations follow from the perturbative construction of the light neutrino mass spectrum. To avoid such large correlations between low mass parameters in $m_D$ and large mass parameters in $M_R$, the Je\.zabek-Sumino see-saw model of bi-maximal neutrino mixing adopted to the TeV scale and the issue of possible symmetries of the matrix $M_{\nu}$ are discussed. Results are supported by a few numerical examples which show directly the complexity of the problem.
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