1998/11/20 by Wojciech Krolikowski, Krolikowski, Wojciech
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9811421
Latex, 20 pages
arxiv created 1998/11/20 · 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. While for charged leptons the off--diagonal mass--matrix elements turn out to be small \it versus its diagonal elements, it is suggested that for neutrinos the situation is inverse. Under such a conjecture, the neutrino masses, lepton \CKM matrix and neutrino oscillation probabilities are calculated in the corresponding lowest (and the next to 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, νs , of sterile neutrinos, whose mixing with νe would be responsible for the observed deficit. In the last Section, promising perspectives for applying the same form of mass matrix to quarks are 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 ).