Proposal of unified fermion texture
Krolikowski, W.
الأصل · EN
A unified form of mass matrix is proposed for neutrinos, charged leptons, up quarks and down quarks. Some constraints for the parameters involved are tent% atively postulated. Then, the predictions are neatly consistent with available experimental data. Among the predictions are: (i) mτ≃ 1776.80 MeV (with the inputs of mₑ and mμ), (ii) mν₀ ≪ mν₁ (0.6 to 4)× 10⁻² eV and mν₂ (0.2 to 1)× 10⁻¹ eV (with the atmospheric-neutrino inpu% ts of |mν₂² - mν₁²| (0.0003 to 0.01) eV ² and the νμ→ ντ oscillation amplitude 0.8), and also (iii) mₛ ≃ 270 MeV, |Vub/Vcb| ≃ 0.082 and argVub ≃ -64∘ (with the inputs of mc = 1.3 GeV, mb = 4.5 GeV, |Vus| = 0.221 and |Vcb| = 0.041, where mᵤ ≪ mc ≪ mₜ and md ≪ mₛ ≪ mb). All elements of the matrix are evaluated. All elements of its lepton counterpart are calculated up to an unknown phase (Appendix B). Some items related to dynamical aspects of the proposed fermion "texture" are briefly commented on (Appendix A). In particular, the notion of a novel dark matter, free of any Standard--% Model interactions (and their supersymmetric variants), appears in the case of preon option.
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