On teraelectronvolt Majorana neutrinos

Abstract

The issue of existence of Majorana neutrinos with masses of the order of TeV and substantial couplings is addressed. A general neutrino mass matrix Mv with both features is constructed, however, the form of Mv is constrained very much by severe relations among the elements of m d and M r sub-matrices of Mv . These general relations follow from the perturbative construction of the light neutrino mass spectrum. To avoid such large correlations between low mass parameters in to d and large mass parameters in MR, the Jeżabek-Sumino see-saw model of bi-maximal neutrino mixing adopted to the TeV scale and the issue of possible symmetries of the matrix M v are discussed. Results are supported by a few numerical examples which show directly the complexity of the problem.