1999/03/01 by Wojciech Krolikowski
Physics and Astronomy · #hep-ph
published as Acta Phys.Polon. B30 (1999) 2631-2669 · LaTeX, 40 pages
arxiv created 1999/03/01 · arxiv updated 2009/11/30
An explicit form of charged--lepton mass matrix, predicting mτ= 1776.80 MeV from the experimental values of me and mμ (in good agreement with the experimental figure mτ= 1777.05+0.29-0.26 MeV), is applied to three neutrinos νe, νμ, ντ in order to correlate tentatively their masses and mixing parameters. It is suggested that for neutrinos the diagonal elements of the mass matrix are small versus its off-diagonal elements. Under such a conjecture, the neutrino masses, lepton \CKM matrix and neutrino oscillation probabilities are calculated in the corresponding lowest perturbative order. Then, the nearly maximal mixing of νμ and ντ is predicted in consistency with the observed deficit of atmospheric νμ's. However, the predicted deficit of solar νe's is much too small to explain the observed effect, what suggests the existence of (at least) one sort, \enu, of sterile neutrinos, whose mixing with νe would be responsible for the observed deficit. Perspectives for applying the same form of mass matrix to quarks are also outlined. Two independent predictions of |Vub|/|Vcb| = 0.0753 ± 0.0032 and unitary angle γ≃ 70^∘ are deduced from the experimental values of |Vus| and |Vcb| (with the use of quark masses ms, mc and mb). In the last three Sections, the option of two sorts, \enu and \mnu, of sterile neutrinos is considered. They may dominate neutrino mixing, and even cause that two extra neutrino mass states (arising then) are agents of some tiny neutrino instability and related damping of νe and νμ oscillations. In Appendix, three conventional Majorana sterile neutrinos are discussed.