Proposal of unified fermion texture

Abstract

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) $ m_\tau \simeq 1776.80 $~MeV (with the inputs of $ m_e $ and $ m_\mu $), (ii) $ m_{\nu_0} \ll m_{\nu_1} \sim (0.6 to 4)\times 10^{-2} $eV and $ m_{\nu_2} \sim (0.2 to 1)\times 10^{-1} $eV (with the atmospheric-neutrino inpu% ts of $ |m_{\nu_2}^2 - m_{\nu_1}^2| \sim (0.0003 to 0.01) eV ^2 $ and the $\nu_\mu \to \nu_\tau $ oscillation amplitude $\sim 0.8 $), and also (iii) $ m_s \simeq 270 MeV$, $|V_{ub}/V_{cb}| \simeq 0.082 $ and arg$V_{ub} \simeq -64^\circ $ (with the inputs of $ m_c = 1.3 $ GeV, $ m_b = 4.5 $ GeV, $|V_{us}| = 0.221 $ and $|V_{cb}| = 0.041 $, where $ m_u \ll m_c \ll m_t $ and $ m_d \ll m_s \ll m_b $). All elements of the \CKM 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.